Updated on 2021/08/11

写真a

 
AZEGAMI, Hideyuki
 
Organization
Graduate School of Informatics Department of Complex Systems Science 5 Professor
Graduate School
Graduate School of Information Science
Graduate School of Informatics
Undergraduate School
School of Informatics Department of Natural Science Informatics
School of Informatics and Sciences
Title
Professor
Contact information
メールアドレス

Degree 2

  1. Master of Engineering ( The University of Tokyo ) 

  2. Doctor of Engineering ( The University of Tokyo ) 

Research Interests 9

  1. Shape Optimization

  2. Boundary Value Problem of Partial Differential Equation

  3. Application of Functional Analysis

  4. Finite Element Method

  5. Biomechanics

  6. Computational Mechanics

  7. Topology Optimization

  8. Inverse Problem

  9. Optimum Design

Research Areas 4

  1. Natural Science / Applied mathematics and statistics  / Numerical Analysis

  2. Manufacturing Technology (Mechanical Engineering, Electrical and Electronic Engineering, Chemical Engineering) / Design engineering  / Optimization, Inverse Problem

  3. Life Science / Biomedical engineering  / Biomechanics

  4. Informatics / Computational science

Current Research Project and SDGs 3

  1. Solution to shape optimization problems of domains in which boundary value problems of partial differential equations are defined

  2. Study on the industrial applicability of the shape optimization theory

  3. Investigation of living body behavior through mathematical modeling and inverse problem formulation

Research History 9

  1. Nagoya University   Department of Complex Systems Science, Graduate School of Informatics   Professor

    2017.4

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    Country:Japan

  2. Nagoya University   Department of Complex Systems Science, Graduate School of Information Science   Professor

    2003.4 - 2016.3

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    Country:Japan

  3. Nagoya University   Graduate School of Informatics Department of Complex Systems Science 5   Professor

    2017.4

  4. The University of Tokyo   Visiting Associate Professor

    1998.4 - 2001.3

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    Country:Japan

  5. University of Michigan   College of Engineering   Researcher

    1991.11 - 1992.8

  6. Toyohashi University of Technology   School of Engineering   Associate professor

    1991.8 - 2003.4

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    Country:Japan

  7. Toyohashi University of Technology   School of Engineering,   Lecturer

    1989.4 - 1991.7

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    Country:Japan

  8. Toyohashi University of Technology   School of Engineering   Assistant Professor

    1986.1 - 1989.3

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    Country:Japan

  9. The University of Tokyo   Institute of Industrial Science   Assistant Professor

    1985.4 - 1985.12

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    Country:Japan

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Education 5

  1. The University of Tokyo   Graduate School of Engineering   Department of Mechanical Engineering

    1982.4 - 1985.3

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    Country: Japan

    Notes: Doctor of Engineering

  2. The University of Tokyo   Graduate School of Engineering   Department of Mechanical Engineering

    1980.4 - 1982.3

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    Country: Japan

    Notes: Master of Engineering

  3. University of Yamanashi   Faculty of Engineering   Department of Mechanical Engineering

    1977.4 - 1979.3

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    Country: Japan

    Notes: Bachelor of Engineering

  4. Nagano National College of Technology   Faculty of Engineering   Department of Mechanical Engineering

    1972.4 - 1977.3

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    Country: Japan

  5. Nagano National College of Technology   Faculty of Engineering   Department of Mechanical Engineering

    - 1977.3

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    Country: Japan

Professional Memberships 13

  1. Japan Society for Industrial and Applied Mathematics   Vice President (201606-201806), Director (200604-200703, 201204-201503), Fellow (201906-)

    1993.6

  2. Japan Society of Mechanical Engineers   Fellow (200603-)

    1980.5

  3. Asian Society of Structural and Multidisciplinary Optimization   Genaral Chair of ACSMO 2016, Vice President (201805-202011)

    2014.12

  4. Japan Society for Computational Engineering and Science

    1999.4

  5. International Society for Structural and Multidisciplinary Optimization

    2007.5

  6. International Association for Computational Mechanics

    1996.10

  7. Japanese Scoliosis Society

    1995.11

  8. Society of Automotive Engineers of Japan

    1989.8

  9. Japan Society for Industrial and Applied Mathematics

  10. Japanese Scoliosis Society

  11. Japan Society of Mechanical Engineers

  12. Society of Automotive Engineers of Japan

  13. Japan Society for Computational Engineering and Science

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Awards 13

  1. Computational Mechanics Award 2020

    2021.2   JSME (Japan Society of Mechanical Engineers) Computational Mechanics Division  

    Hideyuki Azegami

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

  2. 2020 JACM Computational Mechanics Award

    2020.6   Japan Association for Computational Mechanics  

    Hideyuki Azegami

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

  3. Award for Outstanding Paper (JSIAM Letters division)

    2019.9   Japan Society for Industrial and Applied Mathematics   Shape optimization for a linear elastic fish robot

    Wares Chancharoen, Hideyuki Azegami

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    Award type:Honored in official journal of a scientific society, scientific journal  Country:Japan

  4. ASSMO Award

    2016.5   Asian Society for Structural and Multidisciplinary Optimization  

    Hideyuki Azegami

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    Award type:Award from international society, conference, symposium, etc.  Country:Japan

  5. Award for Outstanding Paper (JSIAM Letters division), Japan Society for Industrial and Applied Mathematics (2015)

    2015.9   Japan Society for Industrial and Applied Mathematics   Regular Solution to Topology Optimization Problems of Continua

    Hideyuki Azegami, Satoshi Kaizu, Kenzen Takeuchi

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    Award type:Honored in official journal of a scientific society, scientific journal  Country:Japan

  6. Award for Outstanding Paper (Theoretical Research division), Japan Society for Industrial and Applied Mathematics

    2015.9   Japan Society for Industrial and Applied Mathematics   Regularized Solution to Shape Optimization Problem

    Hideyuki Azegami

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    Award type:Honored in official journal of a scientific society, scientific journal  Country:Japan

  7. Achievement Award

    2004.11   The Japan Society of Mechanical Engineers, Computational Mechanics Devision  

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

  8. Scientific Award

    2001.3   Nagai Science and Technology Foundation   Development of shape optimization method for three dimensional linear elastic body

    Hideyuki Azegami

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    Award type:Award from publisher, newspaper, foundation, etc.  Country:Japan

  9. Award for Best Paper

    1997.5   Japanese Scoliosis Society  

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

  10. Medal for Outstanding Paper

    1997.4   JSME (Japan Society of Mechanical Engineers)  

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    Award type:Honored in official journal of a scientific society, scientific journal  Country:Japan

  11. Award for Outstanding Presentation

    1996.8   JSME (Japan Society of Mechanical Engineers) Dynamics, Measurement and Control Division  

    Hideyuki Azegami

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

  12. Outstanding Technical Paper

    1994.6   Society of Automotive Engineers of Japan  

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    Award type:Honored in official journal of a scientific society, scientific journal  Country:Japan

  13. Young Engineers Awards

    1989.4   JSME (Japan Society of Mechanical Engineers)  

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    Award type:Award from Japanese society, conference, symposium, etc.  Country:Japan

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Papers 147

  1. A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Computational Optimization and Applications   Vol. 77 ( 1 ) page: 251 - 305   2020.9

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    The exterior Bernoulli problem is rephrased into a shape optimization problem using a new type of objective function called the Dirichlet-data-gap cost function which measures the L^2-distance between the Dirichlet data of two state functions. The first-order shape derivative of the cost function is explicitly determined via the chain rule approach. Using the same technique, the second-order shape derivative of the cost function at the solution of the free boundary problem is also computed. The gradient and Hessian informations are then used to formulate an efficient second-order gradient-based descent algorithm to numerically solve the minimization problem. The feasibility of the proposed method is illustrated through various numerical examples.

    DOI: 10.1007/s10589-020-00199-7

    Web of Science

    Scopus

  2. Shape optimization of running shoes with desired deformation properties Reviewed

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 62 ( 3 ) page: 1535 - 1546   2020.9

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00158-020-02560-0

    Web of Science

    Scopus

  3. Shape optimization of running shoes with desired deformation properties Reviewed

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 62 ( 3 ) page: 1535-1546   2020.8

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    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    The present paper describes a shape optimization procedure for designing running shoes, focusing on two mechanical properties, namely, the shock absorption and the stability keeping the right posture. These properties are evaluated from two deformations of a sole at characteristic timings during running motion. We define approximate planes for the deformations of sole’s upper boundary by least squares method. Using the planes, we choose the tilt angle in the shoe width direction at the mid stance phase of running motion as an objective function representing the stability, and the sunk amount at the contact phase of running motion as a constraint function representing the shock absorption. We assume that the sole is a bonded structure of soft and hard hyper-elastic materials, and the bonding and side boundaries are variable. In this study, we apply the formulation of nonparametric shape optimization to the sole considering finite deformation and contact condition of the bottom of the sole with the ground. Shape derivatives of the cost (objective and constraint) functions are obtained using the adjoint method. The H1 gradient method using these shape derivatives is applied as an iterative algorithm. To solve this optimization problem, we developed a computer program combined with some commercial softwares. The validity of the optimization method is confirmed by numerical examples.

    DOI: 10.1007/s00158-020-02560-0

  4. A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Computational Optimization and Applications   Vol. 77 ( 1 ) page: 251-305   2020.6

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    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    The exterior Bernoulli problem is rephrased into a shape optimization problem using a new type of objective function called the Dirichlet-data-gap cost function which measures the $L^2$-distance between the Dirichlet data of two state functions. The first-order shape derivative of the cost function is explicitly determined via the chain rule approach. Using the same technique, the second-order shape derivative of the cost function at the solution of the free boundary problem is also computed. The gradient and Hessian informations are then used to formulate an efficient second-order gradient-based descent algorithm to numerically solve the minimization problem. The feasibility of the proposed method is illustrated through various numerical examples.

    DOI: 10.1007/s10589-020-00199-7

  5. A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Evolution Equations and Control Theory (EECT), American Institute of Mathematical Sciences   Vol. 8 ( 4 ) page: 785-824   2019.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    The solution to a free boundary problem of Bernoulli type, also known as Alt-Caffarelli problem, is studied via shape optimization techniques. In particular, a novel energy-gap cost functional approach with a state constraint consisting of a Robin condition is proposed as a shape optimization reformulation of the problem. Accordingly, the shape derivative of the cost is explicitly determined, and using the gradient information, a Lagrangian-like method is used to formulate an efficient boundary variation algorithm to numerically solve the minimization problem. The second order shape derivative of the cost is also computed, and through its characterization at the solution of the Bernoulli problem, the ill-posedness of the shape optimization formulation is proved. The analysis of the proposed formulation is completed by addressing the existence of optimal solution of the shape optimization problem and is accomplished by proving the continuity of the solution of the state problems with respect to the domain. The feasibility of the newly proposed method and its comparison with the classical energy-gap type cost functional approach is then presented through various numerical results. The numerical exploration issued in the study also includes results from a second-order optimization procedure based on a Newton-type method for resolving such minimization problem. This computational scheme put forward in the paper utilizes the Hessian information at the optimal solution and thus offers a state-of-the-art numerical approach for solving such free boundary problem via shape optimization setting.

    DOI: 10.3934/eect.2019038

  6. A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Evolution Equations and Control Theory (EECT), American Institute of Mathematical Sciences   Vol. 8 ( 4 ) page: 785-824   2019.12

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    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    The solution to a free boundary problem of Bernoulli type, also known as Alt-Caffarelli problem, is studied via shape optimization techniques. In particular, a novel energy-gap cost functional approach with a state constraint consisting of a Robin condition is proposed as a shape optimization reformulation of the problem. Accordingly, the shape derivative of the cost is explicitly determined, and using the gradient information, a Lagrangian-like method is used to formulate an efficient boundary variation algorithm to numerically solve the minimization problem. The second order shape derivative of the cost is also computed, and through its characterization at the solution of the Bernoulli problem, the ill-posedness of the shape optimization formulation is proved. The analysis of the proposed formulation is completed by addressing the existence of optimal solution of the shape optimization problem and is accomplished by proving the continuity of the solution of the state problems with respect to the domain. The feasibility of the newly proposed method and its comparison with the classical energy-gap type cost functional approach is then presented through various numerical results. The numerical exploration issued in the study also includes results from a second-order optimization procedure based on a Newton-type method for resolving such minimization problem. This computational scheme put forward in the paper utilizes the Hessian information at the optimal solution and thus offers a state-of-the-art numerical approach for solving such free boundary problem via shape optimization setting.

    DOI: 10.3934/eect.2019038

  7. An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Journal of Engineering Mathematics   Vol. 117   page: 1-29   2019.6

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  8. An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Journal of Engineering Mathematics   Vol. 117   page: 1-29   2019.6

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    We propose a new shape optimization formulation of the Bernoulli problem by tracking the Neumann data. The associated state problem is an equivalent formulation of the Bernoulli problem with a Robin condition. We devise an iterative procedure based on a Lagrangian-like approach to numerically solve the minimization problem. The proposed scheme involves the knowledge of the shape gradient which is established through the minimax formulation. We illustrate the feasibility of the proposed method and highlight its advantage over the classical setting of tracking the Neumann data through several numerical examples.

    DOI: 10.1007/s10665-019-10005-x

  9. Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Japan Journal of Industrial and Applied Mathematics   Vol. 36   page: 131-176   2019.1

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    We aim to identify the geometry (i.e., the shape and location) of a cavity inside an object through the concept of thermal imaging. More precisely, we present an identification procedure to determine the geometric shape of a cavity with convective boundary condition in a heat-conducting medium using the measured temperature on a part of the surface of the object. The inverse problem of identifying the cavity is resolved by shape optimization techniques, specifically by minimizing a least-squares type cost functional over a set of admissible geometries. The computation of the first-order shape derivative or shape gradient of the cost is carried out through minimax formulation, which is then justified by the Correa-Seeger theorem coupled with function space parametrization technique. We further characterize its boundary integral form using some identities from tangential calculus. Then, we utilize the computed expression for the shape gradient to implement an effective boundary variation algorithm for the numerical resolution of the shape optimization problem. To avoid boundary oscillations or irregular shapes in our approximations, we execute the gradient-based scheme using the $H^1$ gradient method with perimeter regularization. Also, we propose a novel application of the said method in computing the mean curvature of the free boundary appearing in the shape gradient of the cost functional. We illustrate the feasibility of the proposed method by testing the numerical scheme to several cavity identification problems. Additionally, we also give some numerical examples for the case of corrosion detection since its inverse problem interpreted in the framework of electrostatic imaging is closely related to the focused problem.

    DOI: 10.1007/s13160-018-0337-5

  10. Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement Reviewed

    Julius Fergy T Rabago, Hideyuki Azegami

    Japan Journal of Industrial and Applied Mathematics   Vol. 36   page: 131-176   2019.1

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    We aim to identify the geometry (i.e., the shape and location) of a cavity inside an object through the concept of thermal imaging. More precisely, we present an identification procedure to determine the geometric shape of a cavity with convective boundary condition in a heat-conducting medium using the measured temperature on a part of the surface of the object. The inverse problem of identifying the cavity is resolved by shape optimization techniques, specifically by minimizing a least-squares type cost functional over a set of admissible geometries. The computation of the first-order shape derivative or shape gradient of the cost is carried out through minimax formulation, which is then justified by the Correa-Seeger theorem coupled with function space parametrization technique. We further characterize its boundary integral form using some identities from tangential calculus. Then, we utilize the computed expression for the shape gradient to implement an effective boundary variation algorithm for the numerical resolution of the shape optimization problem. To avoid boundary oscillations or irregular shapes in our approximations, we execute the gradient-based scheme using the $H^1$ gradient method with perimeter regularization. Also, we propose a novel application of the said method in computing the mean curvature of the free boundary appearing in the shape gradient of the cost functional. We illustrate the feasibility of the proposed method by testing the numerical scheme to several cavity identification problems. Additionally, we also give some numerical examples for the case of corrosion detection since its inverse problem interpreted in the framework of electrostatic imaging is closely related to the focused problem.

    DOI: 10.1007/s13160-018-0337-5

  11. Shape optimization for a linear elastic fish robot Reviewed

    Wares Chancharoen, Hideyuki Azegami

    JSIAM Letters   Vol. 10   page: 65-68   2018.10

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    This paper formulates and solves the shape optimization problem for the body of a musical instrument such as an acoustic guitar. A coupling system consisting of a linear elastic body surrounded by a compressible fluid is used to define the frequency response problem with respect to an external force applied to the bridge of an acoustic guitar. The acoustic power on an outer boundary within a given frequency range is defined as the objective cost function. The solution of the shape optimization problem is constructed using the $H^1$ gradient method. A numerical example is used to validate this approach.

    DOI: 10.14495/jsiaml.10.65

  12. Shape optimisation problem for stability of Navier-Stokes flow field Reviewed

    Yasuyuki Kiriyama, Eiji Katamine, Hideyuki Azegami

    International Journal of Computational Fluid Dynamics   Vol. 32 ( 2--3 ) page: 68-87   2018.9

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    This paper presents the numerical results of a shape optimisation problem with regard to delaying the transition of a Navier--Stokes flow field from laminar to turbulent by using the theory developed by Nakazawa and Azegami (2016). The theory was reviewed within the framework of functional analysis and updated with another expression of the shape derivative with respect to the objective function. A computer program was developed with the FreeFEM++. Numerical analyses were performed for two types of problems: a two-dimensional Poiseuille flow field with a sudden expansion, and a two-dimensional uniform flow field around an isolated body. From the first example, two local minimum points of symmetric and asymmetric flow fields were determined, and the asymmetric flow field was found to be more stable. With regard to the second example, we reached the local minimum point of an elliptical shape, and infrequently determined a solution converging to an elliptical shape with the bluff in the leeward direction. By comparison, the superiority of the elliptical shape was obvious.

    DOI: 10.1080/10618562.2018.1500692

  13. Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress Reviewed

    Wares Chancharoen, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 58   page: 935-953   2018.8

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    This study demonstrates the use of Newton method to solve topology optimization problems of density type for linear elastic bodies to minimize the maximum von Mises stress. We use the Kreisselmeier--Steinhauser (KS) function with respect to von Mises stress as a cost function to avoid the non-differentiability of the maximum von Mises stress. For the design variable, we use a function defined in the domain of a linear elastic body with no restriction on the range and assume that a density is given by a sigmoid function of the function of design variable. The main aim of this study involves evaluating the second derivative of the KS function with respect to variation of the design variable and to propose an iterative scheme based on an $H^1$ Newton method as opposed to the $H^1$ gradient method that was presented in previous studies. The effectiveness of the scheme is demonstrated by numerical results for several linear elastic problems. The numerical results show that the speed of the proposed $H^1$ Newton method exceeds that of the $H^1$ gradient method.

    DOI: 10.1007/s00158-018-1937-z

  14. Shape optimization of bodies of musical instruments Reviewed

    Takuya Hayashi, Hideyuki Azegami

    JSIAM Letters   Vol. 10   page: 29-32   2018.7

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    This paper formulates and solves the shape optimization problem for the body of a musical instrument such as an acoustic guitar. A coupling system consisting of a linear elastic body surrounded by a compressible fluid is used to define the frequency response problem with respect to an external force applied to the bridge of an acoustic guitar. The acoustic power on an outer boundary within a given frequency range is defined as the objective cost function. The solution of the shape optimization problem is constructed using the $H^1$ gradient method. A numerical example is used to validate this approach.

    DOI: 10.14495/jsiaml.10.29

  15. Second derivatives of cost functions and H1 Newton method in shape optimization problems Reviewed

    Hideyuki Azegami

    Mathematical Analysis of Continuum Mechanics and Industrial Applications II, Proceedings of the International Conference CoMFoS16     page: 61-72   2017.12

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    DOI: 10.1007/978-981-10-6283-4

  16. Second derivative of cost function and H1 Newton method in shape optimization problem

    Hideyuki Azegami

    RIMS Kôkyûroku - Numerical Analysis: New Developments for Elucidating Interdisciplinary Problems II   Vol. 2037   page: 5-16   2017.7

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    Authorship:Lead author, Corresponding author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  17. Shape Optimization of an Electrostatic Capacitive Sensor Reviewed

    Masayoshi Satake, Noboru Maeda, Shinji Fukui, Hideyuki Azegami

    Japan Journal of Industrial and Applied Mathematics   Vol. 33   page: 599-619   2016.12

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    This paper describes the shape optimization of an electrostatic capacitive sensor used to detect fingers. We consider two state determination problems. The first is a basic electrostatic field problem consisting of sensing electrodes, an earth electrode, and air. The second is an electrostatic field problem in which fingers are added to the basic electrostatic field problem. An objective cost function is defined using the negative-signed squared $H^{1}$-norm of the difference between the solutions of the two state determination problems. The volume of the sensing electrode is used as the cost function. Using the solutions of the two state determination problems and the two adjoint problems, we present a method for evaluating the shape derivative of the objective cost function. To solve the shape optimization problem and minimize the negative-signed difference norm under the volume constraint, we use an iterative algorithm based on the $H^{1}$ gradient method. An algorithm for the shape optimization problem is developed to solve the boundary value problems. Numerical examples show that reasonable shapes are obtained using the present approach.

    DOI: 10.1007/s13160-016-0234-8

  18. Solution of Shape Optimization Problem and Its Application to Product Design Invited Reviewed

    Hideyuki Azegami

    Mathematical Analysis of Continuum Mechanics and Industrial Applications, Proceedings of the International Conference CoMFoS15   Vol. Mathematics for Industry 26   page: 83-98   2016.11

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    In this paper, we define shape optimization problems as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. A domain mapping from an initial domain to a new domain is chosen as the design variable. Functionals of the design variable and the solution to the boundary value problem are used as cost functions. In this paper, the formulation of the shape optimization problem and a numerical method of solving the problem are presented. In addition, our subsequent works applying this method to product design are introduced: (1) shape optimization of a link mechanism, (2) shape optimization for suppressing brake squeal, (3) a method of designing beads in a shell structure, (4) shape optimization of a flow field to improve hydrodynamic stability, and (5) shape optimization of an electrostatic capacitive sensor.

    DOI: 10.1007/978-981-10-2633-1

  19. Shape Optimization of Waveguide Filter Reviewed

    Masayoshi Satake, Hideyuki Azegami

    JSIAM Letters   Vol. 8   page: 33-36   2016.6

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    We propose an optimization method for the boundary shape of a waveguide for a high-pass filter that passes electric signals. The waveguide is modeled as a boundary-value problem having the electromagnetic wave equation. The domain variation is chosen as a design variable, while the weighted power consumption on the input port is used as an objective function. Its shape derivative is derived theoretically using the adjoint variable method. To solve the shape-optimization problem, we use an iterative algorithm based on the $H^{1}$ gradient method. The numerical results obtained show the effectiveness of the proposed method.

    DOI: 10.14495/jsiaml.8.33

  20. Shape optimization of flow field improving hydrodynamic stability Reviewed

    Takashi Nakazawa, Hideyuki Azegami

    Japan Journal of Industrial and Applied Mathematics Japan Journal of Industrial and Applied Mathematics   Vol. 33 ( 1 ) page: 167-181   2016.2

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    This paper presents a solution of a shape optimization problem of a flow field for delaying transition from a laminar flow to a turbulent flow. Mapping from an initial domain to a new domain is chosen as the design variable. Main problems are defined by the stationary Navier--Stokes problem and an eigenvalue problem assuming a linear disturbance on the solution of the stationary Navier--Stokes problem. The maximum value of the real part of the eigenvalue is used as an objective cost function. The shape derivative of the cost function is defined as the Fr\'{e}chet derivative of the cost function with respect to arbitrary variation of the design variable, which denotes the domain variation, and is evaluated using the Lagrange multiplier method. To obtain a numerical solution, we use an iterative algorithm based on the $H^{1}$ gradient method using the finite element method. To confirm the validity of the solution, a numerical example for two-dimensional Poiseuille flow with a sudden expansion is presented. Results reveal that a critical Reynolds number increases by the iteration of reshaping.

    DOI: 10.1007/s13160-015-0201-9

  21. Bead shape optimization in frequency response problem Reviewed

    Kouhei Shintani, Hideyuki Azegami

    JSIAM Letters   Vol. 8   page: 13-16   2016.2

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    The present paper describes a method finding bead shapes in shell structure to decrease the absolute value of mean compliance under periodic loading by using a solution to shape optimization method. Variation of the shell structure in out-of-plane direction is chosen as a design variable. To create beads, the out-of-plane variation is restricted by using the sigmoid function. The integrated absolute value of mean compliance in target frequency range is used as objective function. An iterative algorithm based on the H1 gradient method is used to solve the problem. The effectiveness of the method is confirmed by numerical example.

    DOI: 10.14495/jsiaml.8.13

  22. Shape Optimization Method Applied to Room Design Based on an Incompressible Fluid Model Reviewed

    Takashi Nakazawa, Eiji Katamine, Akiyasu Tomoeda, Hideyuki Azegami

        page: 1-14   2015.10

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    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  23. Study on pathogenic mechanism of idiopathic scoliosis by nonlinear buckling analysis Reviewed

    Han Sun, Hideyuki Azegami

    Transactions of the JSME   Vol. 81 ( 831 ) page: 1-12   2015.9

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    The present paper describes the numerical results by the finite-element method of unstable phenomena of the spine induced by the growth of vertebral bodies in order to investigate the cause of the idiopathic scoliosis. In the previous study, through the linear buckling analysis using simple plate models, we confirmed the existence of the buckling phenomena, and made clear the region of geometrical parameters in which the buckling phenomena occur. These results support the buckling hypothesis as a cause of initiation of the idiopathic scoliosis. However, this theory is valid for infinitesimal deformation and is not applicable to estimate the stability for post-buckling behavior. In this study, we conduct post-buckling simulations caused by the growth of vertebral bodies considering the geometrical nonlinearity using the simple plate model and spine models with full width and half width. From the results, the existence of the non-linear buckling phenomena are confirmed in the simple plate model and the spine model with half width. Moreover, after the non-linear buckling phenomena, stable deformations are obtained excepting each one case in the simple plate model and the spine model with half width. However, the magnitudes of the post-buckling deformations are too small to explain the pathogenesis of the severe deformity observed in patients of idiopathic scoliosis.

    DOI: 10.1299/transjsme.15-00293

  24. Identification of Building Damage using Vibrational Eigenvalue and Eigenmode Pairs Reviewed

    Kazuma Tago, Takayoshi Aoki, Hideyuki Azegami

    Japan Journal of Industrial and Applied Mathematics Japan Journal of Industrial and Applied Mathematics   Vol. 32 ( 2 ) page: 297-313   2015.6

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    The present paper describes a solution to a problem of identifying damage in a building based on experimentally measured vibrational eigenvalue and eigenmode pairs. The healthy rate, which is defined as the stiffness rate with respect to a perfect material, is chosen as the design target to be identified. The range of the healthy rate is restricted to within the range of 0 to 1. In order to overcome this restriction, we define a function with no restriction on the range defined in the domain of a linear elastic body for a building as a design variable and assume that the healthy rate is given by a sigmoid function of the function of the design variable. The linear coupling of the mean squared errors of vibrational eigenvalues and eigenmodes with respect to the measured values are used as a cost function. The derivative of the cost function with respect to the design variable is evaluated by the adjoint variable method. In order to resolve the identification problem of the damaged area, we use an iterative algorithm based on the $H^{1}$ gradient method using the finite-element method to obtain numerical solutions. A numerical example using experimental data demonstrates that a damaged area can be identified by the proposed approach.

    DOI: DOI 10.1007/s13160-015-0180-x

  25. Existence of buckling phenomena as a pathogenic mechanism of idiopathic scoliosis Reviewed

    Han Sun, Hideyuki Azegami

    Journal of Biomechanical Science and Engineering   Vol. 10 ( 2 ) page: 1-9   2015.5

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    The present paper presents the numerical results of a finite-element analysis of the role of a linear buckling phenomena in the etiology of idiopathic scoliosis. In a previous study, we assumed that idiopathic scoliosis is a buckling phenomenon induced by the growth of vertebral bodies, and we used the finite-element method with a spine model to demonstrate the results of linear buckling. However, a program based on the theory of nonlinear buckling did not produce clear buckling modes that were similar to the observed clinical modes. In this study, we return to the starting point and use rather simple models to confirm the existence of a buckling phenomenon that has various geometrical properties. We assumed that the growth of the vertebral bodies can be modeled by the generation of a non-elastic bulk strain. We use the finite-element method to analyze linear buckling modes caused by the growth deformation, and we confirm the existence of the buckling phenomena and clarify the range of the geometrical parameters in which this buckling occurs. By a comparison of different models, we investigate the influence of the region of the buckling phenomena on the physiological curvature of the spine and the intervertebral articulation. Our results support Dickson's hypothesis that a flattening or reversal of normal thoracic kyphosis at the apex of the curvature of the spine causes the buckling phenomenon.

    DOI: 10.1299/jbse.14-00315

  26. Shape optimization approach to a free boundary problem Reviewed

    Maharani Ahsani Ummia, Masato Kimura, Hideyuki Azegami, Kohji Ohtsuka, Armanda Ikhsan

    Recent Development in Computational Science   Vol. 6   page: 42-55   2015.2

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  27. Shape optimization of a rubber bushing Reviewed

    Kouhei Shintani, Hideyuki Azegami

    JSIAM Letters   Vol. 6   page: 89-92   2014.10

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    The present paper describes a solution to a non-parametric shape optimization problem of a rubber bushing in order to adjust a function of the reaction force with respect to static displacement to a desired function. The main problem is defined as a static hyperelastic problem considering a large deformation and a non-linear constitutive equation. The squared error norm of the work done by compulsory displacement and the volume are chosen as cost functions. The shape derivatives of the cost functions are derived theoretically. An iterative algorithm based on the $H^1$ gradient method is used to solve the shape optimization problem.

    DOI: 10.14495/jsiaml.6.89

  28. Shape Optimization for a Link Mechanism Invited Reviewed

    Hideyuki Azegami

    Special Issue on Invitation to the World of Distributed Parameter Systems, Systems, control and information   Vol. 58 ( 9 ) page: 384-389   2014.9

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  29. Shape derivative of cost function for singular point: Evaluation by the generalized J integral Reviewed

    Hideyuki Azegami, Kohji Ohtsuka, Masato Kimura

    JSIAM Letters   Vol. 6   page: 29-32   2014.7

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    This paper presents analytic solutions of the shape derivatives (Frechet derivatives with respect to domain variation) for singular points of cost functions in shape-optimization problems for the domain in which the boundary value problem of a partial differential equation is defined. A design variable is given by a domain mapping. Cost functions are defined as functionals of the design variable and the solution to the boundary value problem. The analytic solutions for singular points such as crack tips and boundary points of the mixed boundary conditions on a smooth boundary are obtained by using the generalized $J$ integral.

  30. Shape Derivative of Cost Function for Singular Point: Evaluation by the Generalized J Integral Reviewed

    Hideyuki Azegami, Kohji Ohtsuka, Masato Kimura

    JSIAM Letters   Vol. 6   page: 29-32   2014.7

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    This paper presents analytic solutions of the shape derivatives (Fréchet derivatives with respect to domain variation) for singular points of cost functions in shape-optimization problems for the domain in which the boundary value problem of a partial differential equation is defined. A design variable is given by a domain mapping. Cost functions are defined as functionals of the design variable and the solution to the boundary value problem. The analytic solutions for singular points such as crack tips and boundary points of the mixed boundary conditions on a smooth boundary are obtained by using the generalized $J$ integral.

    DOI: 10.14495/jsiaml.6.29

  31. Regularized Solution to Shape Optimization Problem Reviewed

    Hideyuki Azegami

    Transactions of the Japan Society for Industrial and Applied Mathematics   Vol. 24 ( 2 ) page: 83-138   2014.6

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    A shape optimization problem is defined as an optimization problem to boundary shape of domain in which boundary value problem of partial differential equation is defined. A design variable is given by a domain mapping. Cost functions are defined as functionals of the design variable and the solution to the boundary value problem. The present paper described that the Fr\'{e}chet derivatives of cost functions with respect to domain variation do not have the regularity required in order to define a next domain, and that a gradient method can be considered for regularizing the derivatives.

  32. Shape optimization for suppressing brake squeal Reviewed

    Kohei Shintani, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 50 ( 6 ) page: 1127-1135   2014.5

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    DOI: 10.1007/s00158-014-1102-2

  33. Construction method of the cost function for the minimax shape optimization problem Reviewed

    Kouhei Shintani, Hideyuki Azegami

    JSIAM Letters   Vol. 5   page: 61-64   2013.9

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    The present paper describes a method by which to formulate a shape optimization problem of a linear elastic continuum for minimizing the maximum value of a strength measure, such as the von Mises stress. In order to avoid the irregularity of the shape derivative of the maximum value, the Kreisselmeier--Steinhauser function of the strength measure is used as the cost function. In the cost function, a parameter is used to control the regularity of the shape derivative. In the present paper, we propose a rule by which to appropriately determine the parameter. The effectiveness of the proposed rule is confirmed through a numerical example of a cantilever problem.

  34. Error analysis of H1 gradient method for shape-optimization problems of continua Reviewed

    Daisuke Murai, Hideyuki Azegami

    JSIAM Letters   Vol. 5   page: 21-24   2013.3

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    We present an error estimation for the H1 gradient method, which provides numerical solutions to the shape-optimization problem of the domain in which a boundary value problem is defined. The main result is that if second-order elements are used for the solutions of the main and adjoint boundary value problems to evaluate the shape derivative, and the first-order elements are used for the solution of domain variation in the boundary value problem of the H1 gradient method, then we obtain first-order convergence of the solution of the domain variation with respect to the size of the finite elements.

  35. Shape Optimization for a Link Mechanism Reviewed

    Hideyuki Azegami, Liren Zhou, Kimihiro Umemura, Naoya Kondo

    Structural and Multidisciplinary Optimization   Vol. 48   page: 115-125   2013.2

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    DOI: 10.1007/s00158-013-0886-9

  36. Shape optimization of continua using NURBS as basis functions Reviewed

    Hideyuki Azegami, Shota Fukumoto, Taiki Aoyama

    Structural and Multidisciplinary Optimization   Vol. 47 ( 2 ) page: 247-258   2012.6

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    DOI: 10.1007/s00158-012-0822-4

  37. Shape Optimization of Thermoelastic Fields for Mean Compliance Minimization Reviewed

    Eiji Katamine, Hiroki Yoshioka, Kousuke Matsuura, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 77 ( 783 ) page: 4015-4023   2011.11

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  38. Error analysis of H1 gradient method for topology optimization problems of continua Reviewed

    Daisuke Murai, Hideyuki Azegami

    JSIAM Letters   Vol. 3   page: 73-76   2011.11

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    The present paper describes the result of the error estimation of a numerical solution to topology optimization problems of domains in which boundary value problems are defined. In the previous paper, we formulated a problem by using density as a design variable, presented a regular solution, and called it the H1 gradient method. The main result in this paper is the proof of the first order convergence in the H1 norm of the solution in the H1 gradient method with respect to the size of the finite elements if first order elements are used for the design and state variables.

  39. Examination of Shape Optimization for the Nonlinear Buckling Phenomenon of Suspension Parts Reviewed

    Kouhei Shintani, Takaaki Nagatani, Satoshi Ito, Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 74 ( 748 ) page: 1187-1198   2011.8

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  40. Regular solution to topology optimization problems of continua Reviewed

    Hideyuki Azegami, Satoshi Kaizu, Kenzen Takeuchi

    JSIAM Letters   Vol. 3   page: 1-4   2011.1

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    The present paper describes a numerical solution to topology optimization problems of domains in which boundary value problems of partial differential equations are defined. Density raised to a power is used instead of the characteristic function of the domain. A design variable is set by a function on a fixed domain which is converted to the density by a sigmoidal function. Evaluation of derivatives of cost functions with respect to the design variable appear as stationary conditions of the Lagrangians. A numerical solution is constructed by a gradient method in a design space for the design variable.

  41. Shape Optimization of Steady-State Heat-conduction Fields Considering Temperature Dependency of Thermal Conductivity Coefficient Reviewed

    Eiji Katamine, Shingo Mikada, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 76 ( 772 ) page: 2188-2195   2010.12

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    This paper presents a numerical analysis method for solving shape optimization problems of domains in which steady-state heat conduction fields considering temperature dependency of thermal conductivity coefficient are defined. In this paper, we formulated two shape optimization problems, namely, maximization of thermal dissipation on heat transfer boundaries and minimization of the heat conduction fields. The shape gradient functions for these shape optimization problems were derived theoretically using the Lagrange multiplier method and the formulae of material derivative. Reshaping was accomplished using the traction method that was proposed as a solution to the shape optimization problems. The validity of the proposed method was confirmed by the results of 2D numerical analysis.

  42. Numerical Solution to Shape Optimization Problems for Non-stationary Navier-Stokes Problems Reviewed

    Yutaro Iwata, Hideyuki Azegami, Taiki Aoyama, Eiji Katamine

    JSIAM Letters   Vol. 2   page: 37-40   2010.5

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    The present paper describes a numerical solution of shape optimization problems for non-stationary Navier-Stokes problems. As a concrete example, we consider the problem of finding the shape of an obstacle in a flow field in order to minimize the energy loss integral for an assigned time interval. The primary goal of the present paper is to demonstrate the evaluation of the shape derivative of the energy loss. The traction method is used for the reshaping algorithm. Numerical results show that the shapes of the circle obstacle converge to wedge shapes for the cases of Reynolds numbers of 100 and 250.

  43. Shape Optimization Problem of Elastic Bodies for Controlling Contact Pressure Reviewed

    Takahiro Iwai, Akinobu Sugimoto, Taiki Aoyama, Hideyuki Azegami

    JSIAM Letters   Vol. 2   page: 1-4   2010.1

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    The present paper describes a numerical solution to shape optimization problems of contacting elastic bodies for controlling contact pressure. The contacting elastic problem is formulated as the minimization of potential energy with a constraint for penetration based on the large deformation theory. The contact pressure is defined as a Lagrange multiplier for the constraint of penetration in the minimization problem. An error norm of the contact pressure to a desired distribution is chosen as an objective functional. The shape derivative of the functional is theoretically evaluated. Numerical solutions are constructed by the traction method.

    DOI: 10.14495/jsiaml.2.1

  44. A Regularization Solution of Shape and Topology Optimization Problems for Domains of Boundary Value Problems

    Hideyuki Azegami

    RIMS Kôkyûroku - Numerical Analysis: Theory, Methods, and Applications   Vol. 1638   page: 1-17   2009.4

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  45. Shape optimization of 3D viscous flow fields Reviewed

    Eiji Katamine, Yuya Nagatomo, Hideyuki Azegami

    Inverse Problems in Science and Engineering   Vol. 17 ( 1 ) page: 105-114   2009.1

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  46. Shape Optimization of Steady-State Viscous Flow Fields for Drag Minimization and Lift Maximization Invited Reviewed

    Eiji Katamine, Naoshi Nishimura, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 74 ( 748 ) page: 2426-2434   2008.12

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  47. Nonlinear Buckling Analysis for Etiological Study of Idiopathic Scoliosis Reviewed

    Taiki Aoyama, Hideyuki Azegami, Noriaki Kawakami

    Journal of Biomechanical Science and Engineering   Vol. 3 ( 3 ) page: 399-410   2008.9

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  48. Shape Optimization of Un-steady Heat-conduction Fields for Thermal Dissipation Maximization Reviewed

    Eiji Katamine, Yutaro Iwata, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 74 ( 743 ) page: 1609-1616   2008.7

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  49. Shape Optimization of Thermal Forced Convection Fields Reviewed

    Eiji Katamine, Yoshiyuki Kawase, Hideyuki Azegami

    Heat Transfer Asian Research   Vol. 37 ( 5 ) page: 313-328   2008.7

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  50. Growth Simulation for Pathomechanism of Idiopathic Scoliosis Reviewed

    Taiki Aoyama, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 22 ( 1 ) page: 3-7   2007.12

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  51. Shape Optimization of Forced Heat-convection Fields Reviewed

    Eiji Katamine, Yoshiyuki Kawase, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 73 ( 733 ) page: 1884-1891   2007.9

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    This paper presents a numerical analysis method for solving two shape determination problems of temperature distribution prescribed problem in sub-domains and thermal dissipation maximization problem on sub-boundaries of steady heat convective fields. The square error integral between the actual temperature distributions and the prescribed temperature distributions in the prescribed sub-domains is used as the objective functional for the temperature distribution prescribed problem. Each shape gradient for these shape determination problems was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping was accomplished using a traction method that was proposed as a solution to the domain optimization problems. A new numerical procedure using finite element method for the shape determination problems was proposed. The validity of the proposed method was confirmed by the results of 2D numerical analysis.

  52. Non-parametric Shape Optimization Method for Thin-walled Structures under Strength Criterion Reviewed

    Masatoshi Shimoda, Jiro Tsuji, Hideyuki Azegami

    Computer Aided Optimum Design in Engineering X     page: 179-188   2007.5

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  53. Classification of Clinical Deformities Based on Hypothesis of Mechanical Etiology for Idiopathic Scoliosis Reviewed

    Ryu Sasaoka, Toshiki Omodaka, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 21 ( 1 ) page: 3-7   2006.12

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  54. Solution of Shape Identification Problems on Thermoelastic Solids Reviewed

    Eiji Katamine, Hideyuki Azegami, Hirai Masahiro

    International Journal of Computational Methods   Vol. 3 ( 3 ) page: 279-293   2006.9

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    This paper presents a numerical analysis method for solving the shape identification problems of thermoelastic fields. The square error integral between the actual thermal deformation distributions and the prescribed thermal deformation distributions on the prescribed sub-boundaries is used as the objective functional. The shape gradient of the shape identification problems is derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping is accomplished using a traction method that was proposed as a solution to domain optimization problems. In addition, a new numerical procedure for the shape identification is proposed. The validity of the proposed method is confirmed based on the results of 2D numerical analysis.

  55. Optimal Shape Problems and Traction Method Reviewed

    Satoshi Kaizu, Hideyuki Azegami

    Transactions of the Japan Society for Industrial and Applied Mathematics   Vol. 16 ( 3 ) page: 277-290   2006.9

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    In shape optimization, in which partial differential equations are defined and the shape with minimum cost is searched, an admissible family of shapes is given as being compact in some topology. Then minimizing of shapes for a cost implies an optimal shape, which we desire. The traction method is a power way to construct minimizing sequence of shapes for a cost, which guarantees the smoothness of shapes of the sequence. A reason of why the smoothness of shape is guaranteed is given from the point of view of mathematics.

  56. A Smoothing Method for Shape Optimization: Traction Method Using the Robin Condition Reviewed

    Hideyuki Azegami, Kenzen Takeuchi

    International Journal of Computational Methods   Vol. 3 ( 1 ) page: 21-33   2006.3

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    This paper presents an improved version of the traction method that was proposed as a solution to shape optimization problems of domain boundaries in which boundary value problems of partial differential equations are defined. The principle of the traction method is presented based on the theory of the gradient method in Hilbert space. Based on this principle, a new method is proposed by selecting another bounded coercive bilinear form from the previous method. The proposed method obtains domain variation with a solution to a boundary value problem with the Robin condition by using the shape gradient.

  57. Minimum Weight Shape Design for the Natural Vibration Problem of Plate and Shell Structures Reviewed

    Masatoshi Shimoda, Jiro Tsuji, Hideyuki Azegami

    Computer Aided Optimum Design in Engineering IX     page: 147-156   2005.5

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  58. Construction of Finite-Element Models Conforming to Prescribed Boundary Shapes Reviewed

    Ryu Sasaoka, Hideyuki Azegami

    Transactions of JSCES(Japan Society for Computational Engineering and Science)(web)   ( 200500002 ) page: 1-6   2005.1

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    This paper presents two techniques, called the morphing method and the fitting method, for deforming finite-element models to conform to prescribed boundary shapes of domains. The morphing method involves selecting nodes on a finite-element model and moving them to desired locations under suitable constraints in reference to specified image data. The fitting method involves deforming a finite-element model to fit into a prescribed domain that can be given with pixel or voxel image data. These methods have been derived as solutions to shape optimization problems for morphing and fitting using the traction method. The morphing method can be applied to construct a finite-element model of the spine to match that of patients with idiopathic scoliosis by referring to X-ray photographs. The fitting method can be applied to construct a skeletal part that matches CT image data.

  59. Solution to Shape Optimization Problems of Viscous Flow Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Tomoyuki Tsubata, Shoji Itoh

    International Journal of Computational Fluid Dynamics   Vol. 19 ( 1 ) page: 45-51   2005.1

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    This paper presents a numerical solution to the shape optimization problems of steady-state viscous flow fields. The minimization problem of total dissipation energy was formulated in the domain of viscous flow fields. The shape gradient of the shape optimization problem was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping was carried out by the traction method proposed by one of the authors as an approach to solving domain optimization problems. The validity of the proposed method was confirmed by results of 2D and 3D numerical analyses.

  60. Shape Optimization of Linear Elastic Continua for Moving Nodes of Natural Vibration Modes to Assigned Positions and Its Application to Chassis-like Frame Structures Reviewed

    Inzarulfaisham Abd Rahim, Hideyuki Azegami

    Transactions of JSCES(Japan Society for Computational Engineering and Science)   ( Internet paper No.20040017 ) page: 1-8   2004.6

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    This paper presents a numerical analysis method for boundary shape optimization problems involving moving the nodes of specified natural vibration mode shapes of linear elastic continua to assigned positions and describes the applicability of the method to chassis-like frame structures. Based on the theoretical investigation done in the previous work, problems of moving the nodes of natural vibration mode shapes are formulated as minimization problems of the square integrals of the specified natural vibration mode shapes on the assigned sub-boundaries to which it is desired to move the nodes. Reshaping is accomplished by the traction method that was proposed as a solution to boundary shape optimization problems of domains in which boundary value problems of partial differential equations are defined. With this method, problems of moving the nodes of the natural vibration mode shapes with first-order bending of chassis-like frame structures are solved. An investigation into the effect of the support conditions in modal analyses reveals the superiority of using a vertically free support condition.

  61. Solution to Boundary Shape Optimization Problems Reviewed

    Hideyuki Azegami

    High Performance Structures and Materials II     page: 589-598   2004.5

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    This paper presents a numerical analysis method of nonparametric boundary shape optimization problems with respect to boundary value problems of partial differential equations. The nonparametric boundary variation can be formulated by selecting a one parameter family of continuous one-to-one mappings from an original domain to variable domains. The shape gradient with respect to domain variation can be evaluated by the adjoint variable method. However, the direct application of the gradient method often results in oscillating shapes. It has been known that the oscillating phenomenon is caused by a lack of smoothness of the shape gradient. To make up the irregularity, a smoothing gradient method and its concrete numerical procedure called traction method have been presented by the author and coworkers. However, in the previous papers, numerical procedure of the traction method did not have been illustrated. This paper presented a generalized description of the traction method and gave a precise algorithm of the traction method.

  62. Solution to Boundary Shape Optimization Problem of Linear Elastic Continua with Prescribed Natural Vibration Mode Shapes Reviewed

    Inzarulfaisham Abd Rahim, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 27 ( 3 ) page: 210-217   2004.5

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    This paper presents a practical method of numerical analysis for boundary shape optimization problems of linear elastic continua in which natural vibration modes approach prescribed modes on specified subboundaries. The shape gradient for the boundary shape optimization problem is evaluated with optimality conditions obtained by the adjoint variable method, the Lagrange multiplier method, and the formula for the material derivative. Reshaping is accomplished by the traction method, which has been proposed by one of the authors. The validity of the presented method is confirmed by numerical results of three-dimensional beamlike and plate-like continua.

  63. Investigation of Buckling Phenomenon Induced by Growth of Vertebral Bodies Using a Mechanical Spine Model Reviewed

    Ryu Sasaoka, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino, Yukihiro Matsuyama

    JSME International Journal Series C   Vol. 46 ( 4 ) page: 1382-1387   2003.12

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    A hypothesis that idiopathic scoliosis is a buckling phenomenon of the fourth or sixth mode, which is the second or third lateral bending mode, induced by the growth of vertebral bodies was presented in a previous paper by the authors using numerical simulations with a finite-element model of the spine. This paper presents experimental proof of the buckling phenomenon using mechanical spine models constructed with the geometrical data of the finite-element model used in a previous work. Using three spine mechanical models with different materials at intervertebral joints, the change in the natural vibration eigenvalue of the second lateral bending mode with the growth of vertebral bodies was measured by experimental modal analysis. From the result, it was observed that natural vibration eigenvalue decreased with the growth of vertebral bodies. Since the increase in primary factor inducing the buckling phenomenon decreases natural vibration eigenvalue, the obtained result confirms the buckling hypothesis.

  64. Solution to Shape Optimization Problem of Viscous Flow Fields Considering Convection Term Reviewed

    Eiji Katamine, Tomoyuki Tsubata, Hideyuki Azegami

    Inverse Problems in Engineering Mechanics IV     page: 401-408   2003.8

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  65. Solution to Shape Identification Problem of Unsteady Heat-Conduction Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matsuura

    Heat Transfer Asian Research   Vol. 32 ( Issue 3 ) page: 212-226   2003.5

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  66. Buckling and Bone Modeling as Factors in the Development of Idiopathic Scoliosis Reviewed

    Manabu Goto, Noriaki Kawakami, Hideyuki Azegami, Yukihiro Matsuyama, Kenzen Takeuchi, Ryu Sasaoka

    Spine   Vol. 28 ( Issue 4 ) page: 364-370   2003.2

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  67. An Experiment with a Mechanical Model on the Etiology of Idiopathic Scoliosis: Examination with Precise Spine Model Reviewed

    Ryu Sasaoka, Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino, Yukihiro Matsuyama, Manabu Goto, Hidefumi Inoh, Hisatake Yoshihara

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 17 ( 1 ) page: 18-22   2002.12

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  68. Computational Study on the Etiology of Idiopathic Scoliosis: Buckling Hypothesis Induced by Bone Modeling against Gravity Reviewed

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Transactions of JSCES(Japan Society for Computational Engineering and Science)   Vol. 4 ( Internet paper No.20020006 ) page: 153-160   2002.2

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  69. Solution to Shape Optimization Problems of Continua on Thermal Elastic Deformation Reviewed

    Hideyuki Azegami, Seiji Yokoyama, Eiji Katamine

    Inverse Problems in Engineering Mechanics III     page: 61-66   2002.1

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    This paper presents a numerical solution to shape optimization problems of continua minimizing steady-state thermal elastic deformation. The potential energy by thermal elastic strain was used as an objective functional. Coupling boundary value problems of partial differential equations for steady-state heat-transfer and linear elastic deformation were employed as state equations. The shape gradient function of the shape optimization problem was theoretically derived using the Lagrange multiplier method, or the adjoint variable method, and the formulae of the material derivative. Reshaping was carried out by the traction method that was proposed by one of the authors as an approach to solving domain optimization problems. The validity of the presented method was confirmed by results of numerical analyses.

  70. Numerical Simulation on Etiology of Idiopathic Scoliosis: Modal Investigation Reviewed

    Kenzen Takeuchi, Hideyuki Azegami, Ryu Sasaoka, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Manabu Goto, Mitsunori Makino, Yukihiro Matsuyama

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 16 ( 1 ) page: 11-16   2001.12

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  71. Study on Treatment with Respect to Idiopathic Scoliosis: Sensitivity Analysis Based on Buckling Theory Reviewed

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    JSME International Journal Series C   Vol. 44 ( 4 ) page: 1059-1064   2001.12

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  72. Large-Scale Parallel Shape Optimization Using Hierarchical Domain Decomposition with Traction Method Reviewed

    Shinobu Yoshimura, Norihiko Oshio, Hiroshi Kawai, Hideyuki Azegami, Kenzen Takeuchi

    Simulation   Vol. 20 ( 4 ) page: 296-302   2001.12

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    This paper describes shape optimization of millions degrees of freedom (DOF) finite element model in a parallel computing environment. Here the Traction method is combined with the parallel finite element analysis system named ADVENTURE, which is based on the hierarchical domain decomposition method (HDDM). The ADVENTURE system is a module-based parallel finite element system for 10^7-10^8 DOF problems. The Traction method is one of shape optimization algorithms, which enables to keep smoothness of the final shape as same as the initial shape without causing undulating phenomenon. The method finds the optimized shape by applying external force, in proportion to the minus value of the shape gradient function, as the Neumann boundary condition. Practical performances of the present approach are demonstrated through some numerical examples with one million DOF mesh.

  73. Solution to Shape Optimization Problems Reviewed

    Hideyuki Azegami

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 11 ( 3 ) page: 49-52   2001.9

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  74. Shape Optimization for Displacement Path Control Problem Considering Geometrical Non-linearity Reviewed

    Hisashi Ihara, Hideyuki Azegami, Masatoshi Shimoda

    Transactions of the JSME Series A   Vol. 67 ( 656 ) page: 611-617   2001.4

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  75. Boundary Shape Determination of Steady-State Heat-Conduction Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Masami Kojima

    Heat Transfer-Asian Research   Vol. 30 ( 3 ) page: 245-258   2001.4

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  76. Sensitivity Analysis with Respect to Idiopathic Scoliosis: Application of Structural Optimization Theory Reviewed

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 15 ( 1 ) page: 24-27   2000.12

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  77. Investigation of the Etiology of Idiopathic Scoliosis: Using Finite Element Method Reviewed

    Manabu Goto, Noriaki Kawakami, Yuji Matsubara, Tokumi Kanemura, Hideyuki Azegami, Kenzen Takeuchi, Ryu Sasaoka, Yukihiro Matsuyama

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 15 ( 1 ) page: 295-31   2000.12

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  78. Solution to Boundary Shape Identification Problems in Elliptic Boundary Value Problems Using Shape Derivatives Reviewed

    Hideyuki Azegami

    Inverse Problems in Engineering Mechanics II     page: 277-284   2000.12

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    This paper concerns the problem identifying geometrical boundary shapes of domains in which elliptic boundary value problems are defined. Such identification problems can be formulated as minimization problems of squared error integrals between the actual solutions of the elliptic boundary value problems and their reference data with respect to perturbation of the uncertain boundary. Mathematicians have presented fundamental theories concerning the shape derivatives of functionals with respect to domain perturbation and the gradient method in Hilbert space. Based on these theories, this paper presents a concrete solution to geometrical domain identification problems. It briefly describes the derivation of the shape gradient functions for two types of shape identification problems with respect to a boundary value on a subboundary and with respect to the gradient in the subdomain and defines the gradient method in Hilbert space. Using the shape gradient functions thus derived and the concept of the gradient method in Hilbert space, a concrete solution to geometrical boundary identification problems is presented. This solution coincides with the traction method proposed previously by the author's research group.

  79. Shape Optimization of Transient Response Problems Reviewed

    Zhiqiang Wu, Yuji Sogabe, Yutaka Arimitsu, Hideyuki Azegami

    Inverse Problems in Engineering Mechanics II     page: 28-294   2000.12

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  80. Solution to Shape Determination Problem on Unsteady Heat-Conduction Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matsuura

    Inverse Problems in Engineering Mechanics II     page: 285-304   2000.12

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  81. Shape Optimization with Respect to Buckling Reviewed

    Hideyuki Azegami, Yasuhiro Sugai, Masatoshi Shimoda

    Transactions of the JSME Series A   Vol. 66 ( 647 ) page: 1262-1267   2000.7

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  82. Solution to Shape Optimization Problem Considering Material Non-linearity Reviewed

    Hisashi Ihara, Hideyuki Azegami, Masatoshi Shimoda, Katsuhiko Watanabe

    Transactions of the JSME Series A   Vol. 66 ( 646 ) page: 1111-1118   2000.6

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  83. Solution to Shape Identification Problem on Unsteady Heat-Conduction Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matuura

    Transactions of the JSME Series B   Vol. 66 ( 641 ) page: 227-234   2000.1

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  84. Numerical Simulation on Etiology of Idiopathic Scoliosis: Improving the Precision of Numerical Model Reviewed

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 14 ( 1 ) page: 25-28   1999.12

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  85. An experiment with a mechanical model on the etiology of idiopathic scoliosis Reviewed

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 13 ( 1 ) page: 29-32   1999.4

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  86. Solution to Shape Optimization Problems Considering Material Nonlinearity Reviewed

    Hisashi Ihara, Hideyuki Azegami, Masatoshi Shimoda

    Computer Aided Optimization Design of Structures VI     page: 87-96   1999.3

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    This paper presents a theory of a mathematical solution to boundary shape optimization problems of elastic-plastic continua, taking into account material nonlinearity. Shape variation is described by using a one-parameter family of mappings defined in a domain where a continuum lies initially. The goal is to minimize external work by varying a boundary shape under a volume constraint. The shape sensitivity is derived using the Lagrange multiplier method and the formula of the material derivative. A procedure to solve this problem using the traction method is presented, which one of the authors has proposed as an approach to solving domain optimization problems.

  87. Shape Optimization with Respect to Buckling Reviewed

    Hideyuki Azegami, Yasuhiro Sugai, Masatoshi Shimoda

    Computer Aided Optimization Design of Structures VI     page: 57-66   1999.3

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    A shape optimization method for linear buckling load maximization problems of continua is presented. Using a one-parameter family of mappings defined in a domain where a continuum lies initially, a buckling load maximization problem considering multimodal conditions was formulated. The shape gradient density function for the problem was derived using the Lagrange multiplier method and the formula of the material derivative. The shape gradient density function was then used in a shape optimization analysis conducted with the traction method. The validity of the proposed method is demonstrated by numerical analyses of column-like and arch-like two-dimensional continua in a plane strain condition.

  88. Boundary Shape Determination on Steady-State Heat Conduction Fields Reviewed

    Eiji Katamine, Hideyuki Azegami, Masami Kojima

    Transactions of the JSME Series B   Vol. 65 ( 629 ) page: 275-281   1999.1

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  89. Etiology of Idiopathic Scoliosis: Computational Study Reviewed

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Clinical Orthopaedics and Related Research   ( 357 ) page: 229-236   1998.12

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  90. Traction Method Approach to Optimal Shape Design Problems Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    SAE 1997 Transactions, Journal of Passenger Cars   Vol. 106   page: 2355-2365   1998.9

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  91. Domain Optimization Analysis in Frequency Response Problems Considering Proportional Viscous Damping Reviewed

    Zhiqiang Wu, Yuji Sogabe, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 64 ( 623 ) page: 2618-2624   1998.7

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  92. Shape Identification Analyses of Potential Flow Field: Prescribed Problems of Pressure Distribution and Solution by the Traction Method Reviewed

    Eiji Katamine, Hideyuki Azegami, Syohtaroh Yamaguchi

    Transactions of the JSME Series B   Vol. 64 ( 620 ) page: 1063-1070   1998.4

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  93. Numerical Solution for Min-Max Problems in Shape Optimization: Minimum Design of Maximum Stress and Displacement Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    JSME International Journal Series A   Vol. 41 ( 1 ) page: 1-9   1998.1

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  94. Numerical Analysis Method of Controlling Deformation Mode Using Topology-Shape Optimization Technique Reviewed

    Hisashi Ihara, Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of Society of Automotive Engineers of Japan   Vol. 29 ( 1 ) page: 117-122   1998.1

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  95. Shape Optimization Analysis for Frequency Response Problems of Solids with Proportional Viscous Damping Reviewed

    Zhiqiang Wu, Yuji Sogabe, Hideyuki Azegami

    Key Engineering Materials   Vol. 145-149   page: 227-232   1997.12

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  96. Irregularity of Shape Optimization Problems and an Improvement Technique Reviewed

    Hideyuki Azegami, Satoshi Kaizu, Masatoshi Shimoda, Eiji Katamine

    Computer Aided Optimization Design of Structures V     page: 309-326   1997.9

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    Shape optimization problems of linear elastic bodies, flow fields, magnetic fields, etc. for equilibrium types can be generalized as optimization problems of domains in which elliptic boundary value problems are defined. This paper shows that ordinary domain optimization problems do not have sufficient regularity and proposes a technique to overcome this irregularity. It briefly describes the derivation of the shape gradient functions for a self-adjoint shape optimization problem, and shape identification problems of the Dirichlet type, Neumann type and subdomain gradient assigned type. Using these shape gradient functions, the irregularity of ordinary domain optimization problems is shown through a discussion of the ill-posedness that occurs when the gradient method in Hilbert space is applied directly. To overcome this irregularity, the idea of a smoothing gradient method in Hilbert space is proposed. It is conclusively shown that a numerical method based on this idea coincides with the traction method previously proposed by one of the authors and this conclusion is verified by numerical experiments.

  97. Numerical Solution for Min-Max Problems in Shape Optimization: Minimum Design of Maximum Stress and Displacement Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 63 ( 607 ) page: 610-617   1997.3

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  98. Numerical Analysis Method for Homologous Deformation Problem Using the Topology Optimization Technique Based on the Homogenization Theory Reviewed

    Hisashi Ihara, Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 63 ( 606 ) page: 385-391   1997.2

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  99. Shape Determination of Continua for Homologous Deformation Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 62 ( 604 ) page: 2831-2837   1996.12

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  100. Numerical Simulation on Etiology of Idiopathic Scoliosis: Using a thoracic cage model Reviewed

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 11 ( 1 ) page: 9-12   1996.11

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  101. Boundary Shape Determination of Continua with Desired Stress Distribution Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 62 ( 602 ) page: 2393-2400   1996.10

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  102. Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions: Dealing with Mean Compliance Minimization Problems Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    JSME International Journal Series A   Vol. 39 ( 3 ) page: 407-414   1996.7

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  103. Shape Design by Integrating Shape Optimization with Topology Optimization for Multiobjective Structures: An Approach Using Homogenization Method and Traction Method Reviewed

    Hisashi Ihara, Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 62 ( 596 ) page: 1091-1097   1996.4

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  104. Domain Optimization Analysis in Linear Elastic Problems: Approach Using Traction Method Reviewed

    Hideyuki Azegami, Zhiqiang Wu

    JSME International Journal Series A   Vol. 39 ( 2 ) page: 272-278   1996.4

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  105. Numerical Simulation on Etiology of Idiopathic Scoliosis Reviewed

    Hideyuki Azegami, Shunji Murachi, Yoshito Ishida, Takayuki Suzuki, Noriaki Kawakami, Mitsunori Makino, Kazuhiko Arao, Kouji Kitou

    Spinal Deformity, The Journal of Japanese Scoliosis Society   Vol. 10 ( 1 ) page: 16-19   1995.11

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  106. Domain Optimization Analysis in Frequency Response Problems: Approach Using Traction Method Reviewed

    Zhiqiang Wu, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 61 ( 590 ) page: 3968-3975   1995.10

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  107. A Domain Optimization Technique for Elliptic Boundary Value Problems Reviewed

    Hideyuki Azegami, Masatoshi Shimoda, Eiji Katamine, Zhiqiang Wu

    Computer Aided Optimization Design of Structures IV, Structural Optimization     page: 51-58   1995.9

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    A numerical analysis technique is presented for solving optimization problems of geometrical domains in which elliptic boundary value problems are defined. Domain variation is formulated with a one-to-one mapping and its infinitesimal variation with a speed field as advocated by Zolesio. The sensitivity functions, which we call the shape gradient functions, of domain variation are derived using the Lagrange multiplier method or the adjoint method. By applying the gradient method in functional space with the shape gradient functions, we propose to analyze an optimal speed field as a displacement of a pseudo-elastic problem that is defined on the design domain and loaded with pseudo-distributed external force, or traction, in proportion to the shape gradient function. This technique is called the traction method because of the procedure used. Numerical results for several linear elastic problems and flow field problems are given.

  108. Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions: A Traction Method Approach to Minimum Volume Design Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Hisashi Ihara, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 61 ( 587 ) page: 1545-1552   1995.7

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  109. Domain Optimization Analysis in Natural Vibration Problems: Mass Minimization Problems Reviewed

    Zhiqiang Wu, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 61 ( 587 ) page: 2653-2696   1995.7

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  110. Recent Topics in Optimum Design Reviewed

    Hiroshi Yamakawa, Hideyuki Azegami, Shinji Suzuki

    Transactions of the JSME Series C   Vol. 61 ( 587 ) page: 2691-2661   1995.7

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  111. Domain Optimization Analysis of Viscous Flow Field: In the Case of Considering Convective Term Reviewed

    Eiji Katamine, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 61 ( 585 ) page: 1646-1653   1995.5

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  112. Domain Optimization Analysis in Natural Vibration Problems: Approach Using Traction Method Reviewed

    Zhi Chang Wu, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 61 ( 583 ) page: 930-937   1995.3

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  113. Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions: Dealing with Mean Compliance Minimization Problems Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 61 ( 582 ) page: 359-366   1995.2

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  114. Domain Optimization Analysis of Potential Flow Field Reviewed

    Eiji Katamine, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 61 ( 581 ) page: 103-108   1995.1

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  115. Optimum Morphology Analyses of Continuum Reviewed

    Hideyuki Azegami

    SEISAN-KENKYU, Institute of Industrial Science, University of Tokyo   Vol. 47 ( 1 ) page: 26-33   1995.1

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  116. Solution to Viscous Flow Field Domain Optimization Problems: Approach by the Traction Method Reviewed

    Eiji Katamine, Hideyuki Azegami

    Transactions of the JSME Series B   Vol. 60 ( 579 ) page: 3859-3866   1994.11

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  117. Domain Optimization Analysis in Linear Elastic Problems: Approach Using Traction Method Reviewed

    Hideyuki Azegami, Zhi Chang Wu

    Transactions of the JSME Series A   Vol. 60 ( 578 ) page: 2312-2318   1994.10

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  118. Numerical Method for Domain Optimization Problems Using a General Purpose FEM Code: Traction Method Approach Reviewed

    Masatoshi Shimoda, Zhi Chang Wu, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 60 ( 578 ) page: 2418-2425   1994.10

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  119. A Solution to Domain Optimization Problems Reviewed

    Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 60 ( 574 ) page: 1479-1486   1994.6

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  120. Shape Optimization of Solid Structures Using the Growth-Strain Method: Introduction of PID Control for Volume and Stress Constraints Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    Transactions of the JSME Series A   Vol. 60 ( 571 ) page: 763-769   1994.3

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  121. Shape Optimization Analysis of Flow Field: Growth-Strain Method Approach Reviewed

    Eiji Katamine, Hideyuki Azegami, Akiyoshi Okitsu

    JSME International Journal Series B   Vol. 37 ( 1 ) page: 96-102   1994.2

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  122. Shape Optimization of Solid Structures Using the Growth-Strain Method: Application to Chassis Components Reviewed

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai, Yusuke Kondo

    SAE 1992 Transactions, Journal of Passenger Cars   Vol. 101   page: 1136-1145   1993.9

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  123. Shape Optimization Analysis of Flow Field: Approach by the Growth-Strain Method Reviewed

    Eiji Katamine, Hideyuki Azegami, Akiyoshi Okitsu

    Transactions of the JSME Series B   Vol. 58 ( 549 ) page: 1452-1458   1992.5

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  124. An Adaptive Growth Method for Shape Refinement: Methodology and Application to Pressure Vessels and Piping Reviewed

    Hideyuki Azegami, Akiyoshi Okitsu, Tadashi Ogihara, Akiyasu Takami

    Journal of Pressure Vessel Technology, Transactions of the ASME(American Society of Mechanical Engineers)   Vol. 114   page: 87-93   1992.2

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  125. Analysis of Uniform-Strength Shape by the Growth-Strain Method: Application to the Problem of Steady-State Vibration Reviewed

    Hideyuki Azegami, Tadashi Ogihara, Akiyasu Takami

    JSME International Journal Series III   Vol. 34 ( 3 ) page: 355-361   1991.9

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  126. Shape-Optimization Analysis for Wire Cross Sections of Cylindrically Coiled Spring by the Growth-Strain Method Reviewed

    Hideyuki Azegami, Eiji Katamine, Toshiyuki Imaizumi, Akiyoshi Okitsu

    Transactions of the JSME Series A   Vol. 56 ( 531 ) page: 2339-2346   1990.11

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  127. The Growth-Strain Method Based on the Inverse Variational Principle: An Approach to Maximum-Stiffness Shape Analysis Reviewed

    Hideyuki Azegami, Akiyasu Takami

    Transactions of the JSME Series A   Vol. 56 ( 530 ) page: 2162-2168   1990.10

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  128. A Fundamental Study for Measurement of Vibration Intensity Reviewed

    Akiyoshi Okitsu, Hideyuki Azegami, Masahiro Teramoto, Hidetaka Kobayashi

    Transactions of the JSME Series C   Vol. 56 ( 525 ) page: 1131-1138   1990.5

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  129. Analysis of Uniform-Strength Shape by the Growth-Strain Method: Application to the Problem of Steady-State Vibration Reviewed

    Hideyuki Azegami, Tadashi Ogihara, Akiyasu Takami

    Transactions of the JSME Series C   Vol. 56 ( 523 ) page: 589-594   1990.3

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  130. A Proposal of a Shape-Optimization Method Using a Constitutive Equation of Growth: In the Case of a Static Elastic Body Reviewed

    Hideyuki Azegami

    JSME International Journal Series I   Vol. 33 ( 1 ) page: 64-71   1990.1

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  131. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 6th Report, Application to a Plane-Strain Fracture Reviewed

    Hideyuki Azegami, O Heon Kwon, Katsuhiko Watanabe

    Transactions of the JSME Series A   Vol. 55 ( 514 ) page: 1293-1300   1989.6

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  132. A Proposal of a Shape-Optimization Method Using a Constitutive Equation of Growth: In the Case of a Static Elastic Body Reviewed

    Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 54 ( 508 ) page: 2167-2175   1988.12

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  133. A proposal of Identification Method of Modal Parameters by Using an Exponential Window Reviewed

    Hideyuki Azegami, Akiyoshi Okitsu, Kazuyuki Bizen

    Transactions of the JSME Series C   Vol. 54 ( 507 ) page: 2522-2529   1988.11

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  134. Variance Evaluation of Modal Parameters Identified by Experimental Modal Analysis and Optimization of Accuracy of the Modal Parameters Based on the Variances Reviewed

    Hideyuki Azegami, Akiyoshi Okitsu, Eiichi Noda, Hidetaka Kobayashi

    Transactions of the JSME Series C   Vol. 54 ( 507 ) page: 2536-2543   1988.11

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  135. Substructure Synthesis Method with Consideration of Rotational Effects on the Combined Boundary Reviewed

    Akiyoshi Okitsu, Kenji Yamashita, Hideyuki Azegami

    Transactions of the JSME Series C   Vol. 54 ( 505 ) page: 2059-2064   1988.9

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  136. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 5th Report, Comparison with the Fracture Resistance Evaluated by CTOD and CTOA Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

    Transactions of the JSME Series A   Vol. 52 ( 483 ) page: 2493-2499   1986.11

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  137. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 2nd Report, Application to a Ductile Crack in Thin Plate Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

    Bulletin of the JSME   Vol. 29 ( 257 ) page: 3693-3700   1986.11

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  138. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 1st Report, Derivation of the Fundamental Relations and Proposal of Evaluation Method Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Bulletin of the JSME   Vol. 29 ( 257 ) page: 3685-3692   1986.11

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  139. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 3rd Report, Effect of Sheet Thickness on Fracture Resistance of Ductile Crack in Thin Plate Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

    Transactions of the JSME Series A   Vol. 52 ( 480 ) page: 1891-1898   1986.8

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  140. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 4th Report, Comparison with the Fracture Resistance Evaluated by J-Integral Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

    Transactions of the JSME Series A   Vol. 52 ( 480 ) page: 1899-1905   1986.8

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  141. Proposal of New Crack Model Considering the Discontinuity in the Cracked Plane and Its Application to the Evaluation of Crack Parameter Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Bulletin of the JSME   Vol. 29 ( 251 ) page: 1396-1403   1986.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  142. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 2nd Report, Application to a Ductile Crack in Thin Plate Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

    Transactions of the JSME Series A   Vol. 52 ( 475 ) page: 736-743   1986.3

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  143. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 1st Report, Derivation of Fundamental Relations and Proposal of Evaluation Method Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 52 ( 475 ) page: 727-735   1986.3

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  144. Proposal of New Stability-Instability Criterion for Crack Extension Based on Crack Energy Density and Physical Systematization of Other Criteria Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Bulletin of the JSME(Japan Society of Mechanical Engineers)   Vol. 28 ( 246 ) page: 2873-2880   1985.12

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  145. Proposal of a New Crack Model Considering the Discontinuity in the Cracked Plane and Its Application to the Evaluation of Crack Parameter Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 51 ( 469 ) page: 2154-2161   1985.9

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  146. Proposal of New Stability-Instability Criterion for Crack Extension Based on Crack Energy Density and Physical Systematization of Other Criteria Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami

    Transactions of the JSME Series A   Vol. 51 ( 464 ) page: 1122-1130   1985.4

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  147. A Newly Positioned Dugdale Model and Its Application to Fracture Problems Based on Crack Energy Density Concept Reviewed

    Katsuhiko Watanabe, Hideyuki Azegami, Yutaka Kurashige

    Theoretical and Applied Mechanics (Proceedings of the 32nd Japan National Congress for Applied Mechanics, 1982)   Vol. 32   page: 427-443   1984.2

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Books 7

  1. Shape optimization problems

    Hideyuki Azegami( Role: Sole author)

    Springer  2020.10  ( ISBN:978-981-15-7617-1

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    Total pages:646   Language:English Book type:Scholarly book

    This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. In these problems, optimum shapes are obtained from an arbitrary form without any geometrical parameters previously assigned. In particular, problems in which the optimum shape is sought by making a hole in domain are called topology optimization problems. Moreover, a problem in which the optimum shape is obtained based on domain variation is referred to as a shape optimization problem of domain variation type, or a shape optimization problem in a limited sense. Software has been developed to solve these problems, and it is being used to seek practical optimum shapes. However, there are no books explaining such theories beginning with their foundations.
    The structure of the book is shown in the Preface. The theorems are built up using mathematical results. Therefore, a mathematical style is introduced, consisting of definitions and theorems to summarize the key points. This method of expression is advanced as provable facts are clearly shown. If something to be investigated is contained in the framework of mathematics, setting up a theory using theorems prepared by great mathematicians is thought to be an extremely effective approach. However, mathematics attempts to heighten the level of abstraction in order to understand many things in a unified fashion. This characteristic may baffle readers with an engineering background. Hence in this book, an attempt has been made to provide explanations in engineering terms, with examples from mechanics, after accurately denoting the provable facts using definitions and theorems.

    Other Link: https://www.amazon.co.jp/Shape-Optimization-Problems-Springer-Applications/dp/9811576173/ref=tmm_hrd_swatch_0?_encoding=UTF8&qid=&sr=

  2. Shape optimization problems

    Hideyuki Azegami( Role: Sole author)

    Morikita Publishing Co., Ltd.  2016.10  ( ISBN:9784627614611

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    Total pages:605   Language:Japanese Book type:Scholarly book

    Other Link: https://www.amazon.co.jp/dp/toc/4627614616/ref=dp_toc?_encoding=UTF8&n=465392

  3. Aspects of modeling (Series: Optimization modeling 5)

    Hiroshi Yamashita, Masahumi Kamachi, Hideyuki Azegami, Tsutomu Saito, Norio Hibiki, Tetsuya Takine, Takahumi Kanamori( Role: Joint author)

    Kindaikagakusha  2016.9  ( ISBN:978-4-7649-0519-1

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    Total pages:256   Language:Japanese Book type:Scholarly book

  4. Handbook of Applied Mathematics

    Azegami, H. and other persons, edited by Satsuma, J. and Oishi, S. and Sugihara, M.( Role: Joint author)

    Asakura Publishing Co., Ltd.  2013.10  ( ISBN:9784254111415

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    Language:Japanese

  5. Computational Mechanics Handbook

    62 persons( Role: Joint author)

    Asakura Publishing Co., Ltd.  2007.5 

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    Language:Japanese

  6. Optimum Design Handbook: Basics, Strategy and Application

    Yamakawa, H. and 53 persons( Role: Joint author)

    Asakura Publishing Co., Ltd.  2003.2 

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    Language:Japanese

  7. Modal Analysis Handbook

    Nagamatsu, A. and 41 persons( Role: Joint author)

    Corona Publishing Co., Ltd.  2000.1 

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    Language:Japanese

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MISC 22

  1. Promenade of Applied Mathematics(103) Encounters Invited Reviewed

    Azegami Hideyuki

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 30 ( 4 ) page: 35 - 38   2020.12

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    Authorship:Lead author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:The Japan Society for Industrial and Applied Mathematics  

    DOI: 10.11540/bjsiam.30.4_35

    Other Link: https://www.jstage.jst.go.jp/article/bjsiam/30/4/30_35/_pdf/-char/en

  2. Promenade of Applied Mathematics(102) On the Lagrange Multiplier Method Invited Reviewed

    Azegami Hideyuki

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 30 ( 3 ) page: 36 - 39   2020.9

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    Authorship:Lead author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:The Japan Society for Industrial and Applied Mathematics  

    DOI: 10.11540/bjsiam.30.3_36

    Other Link: https://www.jstage.jst.go.jp/article/bjsiam/30/3/30_36/_pdf/-char/en

  3. Shape optimization of running shoes with desired deformation properties

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    Structural and Multidisciplinary Optimization   Vol. 62 ( 3 ) page: 1535-1546   2020.8

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    Language:English  

    The present paper describes a shape optimization procedure for designing running shoes, focusing on two mechanical properties, namely, the shock absorption and the stability keeping the right posture. These properties are evaluated from two deformations of a sole at characteristic timings during running motion. We define approximate planes for the deformations of sole's upper boundary by least squares method. Using the planes, we choose the tilt angle in the shoe width direction at the mid stance phase of running motion as an objective function representing the stability, and the sunk amount at the contact phase of running motion as a constraint function representing the shock absorption. We assume that the sole is a bonded structure of soft and hard hyper-elastic materials, and the bonding and side boundaries are variable. In this study, we apply the formulation of nonparametric shape optimization to the sole considering finite deformation and contact condition of the bottom of the sole with the ground. Shape derivatives of the cost (objective and constraint) functions are obtained using the adjoint method. The H1 gradient method using these shape derivatives is applied as an iterative algorithm. To solve this optimization problem, we developed a computer program combined with some commercial softwares. The validity of the optimization method is confirmed by numerical examples.

  4. Promenade of Applied Mathematics(101) On Fréchet Derivative Invited Reviewed

    Azegami Hideyuki

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 30 ( 2 ) page: 33 - 36   2020.6

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    Authorship:Lead author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:The Japan Society for Industrial and Applied Mathematics  

    DOI: 10.11540/bjsiam.30.2_33

    Other Link: https://www.jstage.jst.go.jp/article/bjsiam/30/2/30_33/_pdf/-char/en

  5. Promenade of Applied Mathematics(100) Encouragement for Drawing Invited Reviewed

    Azegami Hideyuki

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 30 ( 1 ) page: 34 - 37   2020.3

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    Authorship:Lead author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:The Japan Society for Industrial and Applied Mathematics  

    DOI: 10.11540/bjsiam.30.1_34

    Other Link: https://www.jstage.jst.go.jp/article/bjsiam/30/1/30_34/_pdf/-char/en

  6. Regularized solutions to shape optimization problems and their applications Invited

    Hideyuki Azegami

    Bulletin of the Japan Society for Industrial and Applied Mathematics   Vol. 28 ( 4 ) page: 182-185   2018.12

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  7. Second derivative of cost function and H1 Newton method in shape optimization problem

    Hideyuki Azegami

    RIMS K ky roku - Numerical Analysis: New Developments for Elucidating Interdisciplinary Problems II   Vol. 2037   page: 5-16   2017.7

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  8. A Regularization Solution of Shape and Topology Optimization Problems for Domains of Boundary Value Problems

    Hideyuki Azegami

    RIMS K ky roku - Numerical Analysis: Theory, Methods, and Applications   Vol. 1638   page: 1-17   2009.4

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  9. Etiology of Idiopathic Scoliosis and its Application to Clinical Evaluation Invited

    Hideyuki Azegami

    JASCOME Reviews, Japan Society for Computational Methods in Engineering   ( 2006-1 ) page: 7-19   2006.3

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  10. Computational mechanics, Design engineering

    Hideyuki Azegami

    Journal of the JSME, Special issue on Yearbook in mechanical eingineering   Vol. 105 ( 1005 ) page: 499-500   2002.8

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  11. Shape Optimization Theory and Its Applications to Weight Saving Invited

    Hideyuki Azegami

    Textbook of the 253rd JSME Kansai Seminer     page: 19-26   2002.1

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  12. Attitudes to Working as a Researcher

    Hideyuki Azegami

    Journal of the JSME   Vol. 104 ( 988 ) page: 18-19   2001.3

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  13. Application of Structural Optimization Theory to Medical Treatment Invited

    Hideyuki Azegami

    Textbook of JSME Seminer   ( No00-84 ) page: 67-76   2001.2

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  14. Development of Shape Optimization Theory and Application to Structural Design of Machines Invited

    Hideyuki Azegami

    Textbook of 87th Seminer of JSME Tokai Branch     page: 1-12   1999.1

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  15. Optimization Theory and Structural Design

    Hideyuki Azegami

    Science of Machine   Vol. 50 ( 2 ) page: 242-250   1998.2

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  16. Solution of Shape Optimization Problems Invited

    Hideyuki Azegami

    Journal of the Japan Society for Computational Engineering and Science   Vol. 2 ( 4 ) page: 239-247   1997.12

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  17. History of Structural Optimization Theory and its Role in Total Design Invited

    Hideyuki Azegami

    Textbook of JSME Seminer   ( 96-72 ) page: 27-32   1997.1

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  18. Optimization Theory and Structural Design Invited

    Hideyuki Azegami

    Textbook of 82nd Seminer of JSME Tokai Branch     page: 1-17   1996.7

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  19. Optimization Technique for Shape and Topology of Mechanical Structures

    Hideyuki Azegami

    Text     page: 1-353   1995.3

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  20. Domain Optimization Theory and Its Application to Optimum Structural Design Invited

    Hideyuki Azegami

    Textbook of JSME Seminer   ( 930-59 ) page: 79-92   1993.9

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  21. Optimization of Continuum Shapes Invited

    Hideyuki Azegami

    Textbook of JSME Seminer   ( 930-3 ) page: 45-66   1993.1

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  22. Vibration Modal Analysis

    Hideyuki Azegami

    Text     page: 1-70   1990.12

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Presentations 421

  1. Identification of bone mass change in vertebrae based on shape variation

    Yasutaka Mitsumoto, Hideyuki Azegami

    The 2021 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  2. Shape derivative of domain integral type for the end compliance in a hyper elastic body

    Hideyuki Azegami

    The 2021 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  3. Acceleration of shape optimization analysis using model order reduction by Karhunen-Lo ve expansion

    Tsubasa Shimomoto, Shuichi Tango, Hideyuki Azegami

    The 2021 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  4. Shape optimization of a fish-like hyperelastic body vibrating with a swimming mode International conference

    Takuya Hayashi, Hideyuki Azegami

    The 14th World Congress on Computational Mechanics (WCCM-14)  2021.1.14 

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    Event date: 2021.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Online (Pari, France)   Country:France  

  5. Inverse problem to identify muscle activity in swallow motion using geometrical and anatomical data International conference

    Shinjiro Ono, Hideyuki Azegami, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi

    The 14th World Congress on Computational Mechanics (WCCM-14)  2021.1.12 

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    Event date: 2021.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Online (Pari, France)   Country:France  

  6. Identification of tongue's muscle activity based on shape observation Invited

    Hideyuki Azegami, Shinjiro Ono, Kenzen Takeuchi

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    Event date: 2020.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Japanese Red Cross Musashino Hospital.   Country:Japan  

  7. A second-order shape optimization algorithm for solving the exterior Bernoulli fee boundary problem using a new boundary cost functional International conference

    Julius Fergy T Rabago, Hideyuki Azegami

    構造および複合領域最適化アジア国際会議 2020 

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    Event date: 2020.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  8. Shape optimization for generating ideal swimming mode of fish-like hyperelastic body International conference

    Takuya Hayashi, Hideyuki Azegami

    構造および複合領域最適化アジア国際会議 2020 

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    Event date: 2020.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  9. Identification of muscle activity in tongue's motion considering distinguished muscle fibers International conference

    Shinjiro Ono, Hideyuki Azegami, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi

    構造および複合領域最適化アジア国際会議 2020 

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    Event date: 2020.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  10. Constitutive law for knitted fabrics as a hyperelastic body and Its parameter identification International conference

    Kenzen Takeuchi, Mai Nonogawa, Hidenaga Takahashi, Hideyuki Azegami

    構造および複合領域最適化アジア国際会議 2020 

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    Event date: 2020.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  11. Identification of muscle activity in swallow motion using medical image and anatomical data

    Kouhei Shintani, Satoshi Ito, Hideyuki Azegami

    Tthe 2020JSME Annual Meeting 

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    Event date: 2020.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online (Nafoya University)   Country:Japan  

  12. On the second shape derivatives of cost functions in shape optimization problems of domain variation type

    Hideyuki Azegami

    2020Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2020.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  13. Parameter identification and shape optimization of a hyper-elastic body involved in a swimming motion

    Takuya Hayashi, Hideyuki Azegami

    2020Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2020.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  14. On the existence of a solution to a shape optimization problem

    Hideyuki Azegami, Julius Fergy T Rabago, Masayuki Aino

    The 2020 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2020.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo University, Korakuen Campus   Country:Japan  

    In this talk, conditions for the existence of a solution to a PDE-constrained shape optimization problem are discussed. Because such problems deal with shapes of domains, the convergence of sets is defined through convergence of functions that describe the boundary of the domains. Accordingly, the existence of optimal shape solution is proved by endowing the graph induced by the mapping from domain to state (and adjoint state) variable with a topology that has good compactness properties and showing that the shape functional associated with the optimization problem is (at least) lower semi-continuous. The former requirement is established through the continuous dependence of the state (and adjoint state) on the admissible design variable; that is, with respect to domain variations.

  15. Muscle layout identification exciting the peristalsis in an alimentary canal

    Genji Saito, Yoshinori Sahara, Hideyuki Azegami

    The 2020 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2020.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo University, Korakuen Campus   Country:Japan  

  16. Study of muscle activity identification in a tongue based on shape observation data

    Shinjiro Ono, Hideyuki Azegami, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi

    The 2020 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2020.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo University, Korakuen Campus   Country:Japan  

  17. Identification of bone mass change in idiopathic scoliosis patients based on shape variation

    Koichiro Nishikawa, Hideyuki Azegami

    The 2020 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2020.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo University, Korakuen Campus   Country:Japan  

  18. Swimming mode creation problem of a fish-like hyper-elastic body

    Takuya Hayashi, Hideyuki Azegami

    The 2020 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2020.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo University, Korakuen Campus   Country:Japan  

  19. Shape optimization problem and its application Invited

    Hideyuki Azegami

    Japan Association for Nonlinear CAE (JANCAE) 

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    Event date: 2020.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Nagoya Municipal Industrial Research Institute   Country:Japan  

  20. Identification of bone mass change in idiopathic scoliosis patients based on medical image data

    Koichiro Nishikawa, Hideyuki Azegami

    The 32nd Bioengineering Conference (2019 Annual Meeting of BED/JSME) 

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    Event date: 2019.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kanazawa chamber of commerce and industry   Country:Japan  

  21. On a shape optimization approach to the quadrature surface free boundary problem International conference

    Julius Fergy T Rabago, Hideyuki Azegami

    The 7th Asian-Pacific Congress on Computational Mechanics (APCOM2019)  

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    Event date: 2019.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Taiwan, Province of China  

    This study examines the so-called quadrature surface free boundary problem in the context of shape optimization. The problem in consideration consists of a Poisson equation with overdetermined Cauchy data on the free boundary. Such a problem arises in many areas of physics, particularly in those that concerns with free streamlines, Hele-Shaw flows, electromagnetic shaping, gravitational problems, etc. In order to resolve the problem, the ill-posed system of partial differential equations is first reformulated into a shape optimization setting which is composed of an $L^2$ tracking type cost functional and a well-posed boundary value problem with a Robin condition. The first-order shape derivative or shape gradient of the cost function along a deformation field is computed. Then, the gradient information is utilized in an iterative scheme via a Sobolev gradient method to numerically solve the problem. A concrete numerical example is solved to illustrate the efficiency of the proposed method.

  22. Shape optimization problem and its application Invited

    Hideyuki Azegami

    The 31st RAMP Symposium (RAMP2019), The Operations Research Society of Japan 

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    Event date: 2019.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Yagami Campus, Keio University   Country:Japan  

  23. Formulation and solution of muscle activity identification problem of tongue based on shape observation Invited

    Hideyuki Azegami, Shinjiro Ono, Kenzen Takeuchi

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    Event date: 2019.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Japanese Red Cross Musashino Hospital.   Country:Japan  

  24. Parameter tuning in the computation of shape optimization

    Tsubasa Shimomoto, Keiichiro Tokita, Hideyuki Azegami

    JSME 32nd Computational Mechanics Division Conference 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Toyo University, Kawagoe Campus   Country:Japan  

  25. Shape Optimization Pproblem for Shifting Eigen Values in Electromagnetic Fields and Its Application to Waveguide

    Kenta Muraki, Masayoshi Satake, Hideyuki Azegami

    2019 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:University of Tokyo, Komaba campus   Country:Japan  

  26. Robust topology optimization considering multiple materials based on the H1 gradient method

    Kohei Shintani, Hideyuki Azegami

    2019 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:University of Tokyo, Komaba campus   Country:Japan  

  27. A Newton method in Sobolev space for solving free boundary problems International conference

    Julius Fergy T Rabago, Hideyuki Azegam

    The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019) 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

    Our intent is to popularize the application of what we call H1-Newton method as a numerical scheme for solving shape optimization problems. The computational strategy was inspired by the second author and is modified in this study to simplify the utilization of the shape Hessian information in an iterative procedure. We showcase its applicability in solving shape optimization problems by numerically solving the well-known exterior Bernoulli free boundary problem in the framework of shape optimization.

  28. Modeling of muscle activity and its identification through shape observation International conference

    Shinjiro Ono, Hideyuki Azegami, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi, Keigo Hanyuu, Testu Kamiya

    The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019) 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

    Motions of the body are caused by contraction of the muscles. Those configurations can be observed through medical imaging devices. However, medical doctors wish to know the inner muscle activity. In this study, we model the muscle activity as generation of a contractive anisotropic and inelastic strain, and formulate the identification problem of the strain by a minimization problem of the squared norm of the traction in finite elastic deformation to make the observed shape.

  29. Optimum design of running shoes with desired deformation property International conference

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    The 13th World Congress on Structural and Multidisciplinary Optimization(WCSMO-13)  

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  30. Identification of muscle activity in tongue's motion through medical image data International conference

    Shinjiro Ono, Hideyuki Azegami, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi, Keigo Hanyuu, Testu Kamiya

    The 13th World Congress on Structural and Multidisciplinary Optimization(WCSMO-13)  

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  31. On the ill-posedness and regularization of the shape optimization formulation concerning a geometry identification problem International conference

    Julius Fergy T Rabago, Hideyuki Azegami

    The 13th World Congress on Structural and Multidisciplinary Optimization(WCSMO-13)  

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  32. Acceleration of shape optimization analysis using degeneration by singular value decomposition International conference

    Shuichi Tango, Hideyuki Azegami

    The 13th World Congress on Structural and Multidisciplinary Optimization(WCSMO-13)  

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  33. A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem

    Julius Fergy Rabago, Hideyuki Azegami

    The 2019 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2019.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tsukuba University, Tsukuba Campus, Tsukuba   Country:Japan  

    The solution to a free boundary problem of Bernoulli type, also known as Alt-Caferelli problem, is studied via shape optimization techniques. In particular, a novel energy- gap cost functional approach with a state constraint consisting of a Robin condition is proposed as a shape optimization reformulation of the problem. Accordingly, the shape derivative of the cost is explicitly determined, and using the gradient information, a Lagrangian-like method is used to formulate an efficient boundary variation algorithm to numerically solve the minimization problem. The second order shape derivative of the cost is also computed, and it is shown how the Hessian information can be utilized to formulate a second-order optimization procedure based on a Newton-type method for resolving shape optimization problems. The feasibility of the newly proposed method and its comparison with the classical energy-gap type cost functional approach is then presented through various numerical results.

  34. On the Second derivative of cost function and Newton method in shape optimization problem

    Hideyuki Azegami

    The 2019 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2019.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tsukuba University, Tsukuba Campus, Tsukuba   Country:Japan  

  35. Cost function for deformation property of sports shoes and shape optimization

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    The 2019 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2019.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tsukuba University, Tsukuba Campus, Tsukuba   Country:Japan  

  36. Second derivative of cost function and Newton method in shape optimization problem Invited

    Hideyuki Azegami

    Workshop of MMDS: Seeking a contact point of engineering and mathematics 

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    Event date: 2018.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Toyonaka Campus, Osaka Univerity   Country:Japan  

  37. A novel shape optimization formulation of the exterior Bernoulli free boundary problem International conference

    Julius Fergy Rabago, Hideyuki Azegami

    The Computational Techniques and Applications Conference (CTAC) 2018 

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    Event date: 2018.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  38. Acceleration of shape optimization analysis using degeneration by singular value decomposition

    Shuichi Tango, Hideyuki Azegami

    JSME 31st Computational Mechanics Division Conference 

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    Event date: 2018.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tokushima University   Country:Japan  

  39. An efficient second-order method for the numerical resolution of the exterior Bernoulli problem via partial gradient International conference

    Julius Fergy T Rabago, Hideyuki Azegami

    The 6th Asian Conference on Nonlinear Analysis and Optimization 

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    Event date: 2018.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  40. Formulation of muscle activity identification problem from shape observation and its solution

    Hideyuki Azegami, Ryota Kurimoto, Genji Saito, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi, Keigo Hanyuu, Tetsu Kamiya

    The 13th Optimization Symposium (OPTIS 2018), JSME 

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    Event date: 2018.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kyoto Research Park, Kyoto, Japan   Country:Japan  

  41. Shape optimization theory and its applications to real problems Invited

    Hideyuki Azegami

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    Event date: 2018.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Center for Research on Innovative Simulation Software,Institute of Industrial Science, the University of Tokyo   Country:Japan  

  42. Shape optimization for a linear elastic fish robot

    Wares Chancharoen, Hideyuki Azegami

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagoya University, Higashiyama campus   Country:Japan  

  43. An Improved Shape Optimization Formulation of the Bernoulli Problem by Tracking the Neumann Data

    Julius Fergy T Rabago, Hideyuki Azegami

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagoya University, Higashiyama campus   Country:Japan  

  44. Shape optimization realizing given vibration mode and its application to fish robot International conference

    Wares Chancharoen, Hideyuki Azegami

    Asian Congress of Structural and Multidisciplinary Optimization 2018 (ACSMO 2018) 

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    Event date: 2018.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  45. Muscle activity identification based on shape observation International conference

    Hideyuki Azegami, Ryota Kurimoto, Genji Saito, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi, Keigo Hanyuu, Testu Kamiya

    Asian Congress of Structural and Multidisciplinary Optimization 2018 (ACSMO 2018) 

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    Event date: 2018.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  46. Acceleration of shape optimization analysis using degeneration by singular value decomposition

    Shuichi Tango, Hideyuki Azegami

    The 2018 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2018.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Osaka University, Suita Campus, Osaka   Country:Japan  

  47. Shape optimization realizing given vibration mode and its application to fish robot

    Wares Chancharoen, Hideyuki Azegami

    The 2018 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2018.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Osaka University, Suita Campus, Osaka   Country:Japan  

    Recently, the importance of bio-inspired robots has been known as the innovate device for discovering in extremely dangerous area. The challenging area is making low energy consumption robot but still keeping a high performance. We focused on the fish swimming robot to make the preliminary design of robot. Many fish robot studies are focused on mimicking its structure with the real fish. However, fish-like robot design is controlling actuators to produce the maximum thrust against drag force of water. There is a well-known study about fish swimming by Lighthill, et at. Lighthill have found the equations of fish swimming by biological experiment. According to Lighthill's study, we found that the optimize shape of fish-like robot approach to design the robot has the efficient energy consumption. Consequently, the fish robot should swim by its natural frequency mode in order as decrease its energy consumption. The dynamic stiffness matrix of linear elastic body and eigenfrequency of fish vibration have been considered as the state determination problem equation and the norm of error of our calculation comparing to biology experiment-based equation from Lighthill as objective cost function. Finally, numerical examples are analyzed by H1 gradient method can find optimized shape of fish-like robot.

  48. On the shape Hessian of a least-squares-type cost functional associated with a cavity identification problem

    Julius Fergy Rabago, Hideyuki Azegami

    The 2018 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2018.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Osaka University, Suita Campus, Osaka   Country:Japan  

    This work examines a cavity identification problem through the framework of shape optimization. Particularly, the inverse problem of reconstructing the defect is studied by minimizing a least-squares-type cost functional. The first-order shape derivative or shape gradient of the cost functional is recalled and its second-order shape derivative or shape Hessian is computed using the approach of Sokolowski and Zolesio. Additionally, the shape Hessian at the solution of the PDE system describing the cavity identification problem is computed using a classical method.

  49. Shape Optimization Theory and Its Applications to Product Design Invited

    Hideyuki Azegami

    Software Seminar: Mathematics of Optimum Design and Its Practice 

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    Event date: 2018.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Tsukuba University, Tokyo campus   Country:Japan  

  50. Shape optimization approach to inverse problems in corrosion detection from partial Cauchy data

    Julius Fergy Rabago, Hideyuki Azegami

    IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics 

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    Event date: 2018.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Christchurch, New Zealand   Country:New Zealand  

  51. Shape Optimization Theory and Its Applications to Product Design Invited

    Hideyuki Azegami

    AIMaP Tutorial: Basics of Optimization Theory and Its Applications 

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    Event date: 2018.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Tokyo   Country:Japan  

  52. A Neumann-data-tracking approach for corrosion detection problem with the Robin condition

    Julius Fergy Rabago

    The 19th Meeting of JSIAM Research activity group: Mathematical Design 

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    Event date: 2017.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Aichi Prefectural University, Satellite Campus   Country:Japan  

  53. Formulation of muscle activity identification problem based on observation data of swallowing movement Invited

    Hideyuki Azegami, Ryota Kurimoto, Genji Saito, Kenzen Takeuchi

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    Event date: 2017.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Japanese Red Cross Musashino Hospital.   Country:Japan  

  54. Formulation of Muscle Activity Identification Problem Based on Observation Data

    Ryota Kurimoto, Hideki Deguchi, Keigo Hanyuu, Yukihiro Michiwaki, Takahiro Kikuchi, Testu Kamiya, Hideyuki Azegami

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    Event date: 2017.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Faculty of Engineering, Hokkaido University   Country:Japan  

  55. Shape Optimization of Waveguide as a High-pass Filter

    Kenta Murak, Masayoshi Satake, Hideyuki Azegami

    JSME 30th Computational Mechanics Division Conference 

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    Event date: 2017.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kindai University, Higashiosaka Campus   Country:Japan  

  56. The second Derivative of Mean Flow Resistance in Topology Optimization Problem of Density Type and H1 Newton Method

    Hideyuki Azegami, Fukuji Fukuoka

    2017 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2017.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Musashino University, Ariake campus   Country:Japan  

  57. Shape Optimization Problem of Link Mechanism with respect to a given motion

    Shoichi Handa, Hideyuki Azegami

    2017 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2017.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Musashino University, Ariake campus   Country:Japan  

  58. Theories and algorithms used in shape optimization Invited

    Hideyuki Azegami

    Workshop on Optimization: Foundations and Frontiers, The Operations Research Society of Japan 

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    Event date: 2017.7

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Morito memorial hall, Tokyo University of Science   Country:Japan  

  59. Shape Optimization for Bodies of Musical Instruments International conference

    Takuya Hayashi, Hideyuki Azegami

    The 12th World Congress on Structural and Multidisciplinary Optimization(WCSMO-12)  

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Technical University of Braunschweig, Germany   Country:Germany  

    In this paper, we formulate a shape optimization problem for bodies of musical instruments such as acoustic guitars and violins, and show its numerical solution. A musical instrument is modeled as a boundary value problem of coupling partial differential equations for linear elastic body and sound pressure field surrounding the linear elastic body. The Sommerfeld radiation condition is employed on the outer boundary of the sound pressure field to approximate a finite field to an infinite field. A design variable is defined by a function denoting displacement of domain variation. An integration of sound power on the outer boundary of the sound pressure field and in a specified frequency range is chosen as an objective cost function. The volume of the linear elastic body is used as a constraint cost function. The shape derivative of the objective cost function is evaluated by the adjoint variable method. An iterative algorithm based on the H1 gradient method is applied to the solution of the shape optimization problem. To solve the boundary value problems for the state determination problem, the adjoint problem and H1 gradient method, the finite element method is employed. A computer program is developed by the authors originally. Numerical results gave monotonous increases in the integration of the sound power while satisfying the volume constraint.

  60. Topology Optimization of Density Type for Linear Elastic Body Using the Second Derivative of KS function with Respect to the von Mises Stress International conference

    Wares Chancharoen, Hideyuki Azegami

    The 12th World Congress on Structural and Multidisciplinary Optimization(WCSMO-12)  

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Technical University of Braunschweig, Germany   Country:Germany  

  61. Regularized solutions to shape optimization problems and their applications Invited

    Hideyuki Azegami

    2017 Annual Meeting of Mathematical Society of Japan 

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    Event date: 2017.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Tokyo Metropolitan University,Tokyo   Country:Japan  

    Optimization of a shape by performing `free' perturbations of its boundary is called a shape optimization problem. Meanwhile, optimizing a shape by acting on its topology is called topology optimization problem. These problems are common in engineering sciences. In this talk, we consider PDE constrained shape/topology optimization problems, and illustrate how to reformulate such problems into functional optimization problems and examine their solutions. In the process of finding solutions of these types of problems, some regularity issues may arise. In some cases, for instance, the Fr\'{e}chet derivatives of cost functions with respect to design variables do not have the regularities required for the admissible sets of design variables. To get around this difficulty, we propose numerical solutions by using a gradient method and a Newton method in function spaces of $H^1$ class. These methods are applicable not only to product design but also to various actual problems.

  62. Shape optimization for bodies of plucked string instruments

    Takuya Hayashi, Hideyuki Azegami

    The 2017 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2017.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:The University of Electro-Communications, Tokyo   Country:Japan  

  63. Identification of muscle activity based on shape observation

    Hideki Deguchi, Keigo Hanyuu, Yukihiro Michiwaki, Takahiro Kikuchi, Testu Kamiya, Hideyuki Azegami

    The 2017 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2017.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:The University of Electro-Communications, Tokyo   Country:Japan  

  64. Formulation of muscle activity identification problem based on observation data of swallowing movement Invited

    Hideyuki Azegami

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    Event date: 2016.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Japanese Red Cross Musashino Hospital.   Country:Japan  

  65. Second derivative of cost function and H1 Newton method in shape optimization problem Invited

    Hideyuki Azegami

    CoMFoS16: Mathematical Analysis of Continuum Mechanics and Industrial Applications II 

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    Event date: 2016.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Kyushu University, Nishijin Plaza   Country:Japan  

  66. Second derivative of cost function and H1 Newton method in shape optimization problem Invited

    Hideyuki Azegami

    RIMS Workshop -Numerical Analysis: New Developments for Elucidating Interdisciplinary Problems II 

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    Event date: 2016.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS-Research Institute for Mathematical Science, Kyoto University   Country:Japan  

  67. Shape Optimization of Connector as Low-pass Filter in Electronic Device

    Ken Sakai, Masayoshi Satake, Hideyuki Azegami

    JSME 29th Computational Mechanics Division Conference 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Nagoya University   Country:Japan  

  68. Second derivative of mean compliance and H1 Newton method in topology optimization problem of density type for linear elastic continuum

    Fukuji Fukuoka, Hideyuki Azegami

    JSME 29th Computational Mechanics Division Conference 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Nagoya University   Country:Japan  

  69. Second derivative of mean compliance and H1 Newton method in shape optimization problem of linear elastic continuum

    Kento Furuki, Hideyuki Azegami

    JSME 29th Computational Mechanics Division Conference 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Nagoya University   Country:Japan  

  70. Shape optimization problem for stability of Navier-Stokes flow field

    Yasuyuki Kiriyama, Hideyuki Azegami

    2016 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kitakyushu International Conference Center   Country:Japan  

  71. Second derivative of cost function and H1 Newton method in shape optimization problem

    Kento Furuki, Hideyuki Azegami

    2016 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kitakyushu International Conference Center   Country:Japan  

  72. Second derivative of cost function and H1 Newton method in topology optimization problem of density type

    Fukuji Fukuoka, Hideyuki Azegami

    2016 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2016.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kitakyushu International Conference Center   Country:Japan  

  73. Topology Optimization of Linear Elastic Body Minimizing the Maximum Von Mises Stress International conference

    Chancharoen Wares, Hideyuki Azegami

    Asian Congress of Structural and Multidisciplinary Optimization 2016 

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    Event date: 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagasaki Brick Hall   Country:Japan  

    This paper shows methods to solve a topology optimization problem of a linear elastic body for minimizing the maximum von Mises stress. In order to avoid the non-differentiability of the maximum von Mises stress coming from the locality including the singularity and the jumping property, we use the Kreisselmeier-Steinhauser (KS) function as a cost function. With respect to the limitation of the range of density, we use a function, which is defined in an allowable domain for design and has no limitation on the range, as a design variable and define the density by a sigmoid function of the design variable. To find the optimum density, iterative algorithms based on the $H^{1}$ gradient method using the derivative of the cost function with respect to arbitrary variation of the design variable, which was previously proposed, and a $H^{1}$ Newton method using the second derivative, which is developed to improve the time-consuming computation. The validity of both methods are verified by numerical examples by FreeFEM++. The numerical results show that the proposed $H^{1}$ Newton method is faster than the $H^{1}$ gradient method.

  74. Patient-Specific Finite Element Modeling of Idiopathic Scoliosis by Optimization Method International conference

    Hairul bin Bakri, Hideyuki Azegami

    Asian Congress of Structural and Multidisciplinary Optimization 2016 

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    Event date: 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagasaki Brick Hall   Country:Japan  

    This paper shows methods to solve a topology optimization problem of a linear elastic body for minimizing the maximum von Mises stress. In order to avoid the non-differentiability of the maximum von Mises stress coming from the locality including the singularity and the jumping property, we use the Kreisselmeier-Steinhauser (KS) function as a cost function. With respect to the limitation of the range of density, we use a function, which is defined in an allowable domain for design and has no limitation on the range, as a design variable and define the density by a sigmoid function of the design variable. To find the optimum density, iterative algorithms based on the $H^{1}$ gradient method using the derivative of the cost function with respect to arbitrary variation of the design variable, which was previously proposed, and a $H^{1}$ Newton method using the second derivative, which is developed to improve the time-consuming computation. The validity of both methods are verified by numerical examples by FreeFEM++. The numerical results show that the proposed $H^{1}$ Newton method is faster than the $H^{1}$ gradient method.

  75. Shape Optimization of Connector in Electronic Device as Low-pass Filter International conference

    Ken Sakai, Masayoshi Satake, Hideyuki Azegami

    Asian Congress of Structural and Multidisciplinary Optimization 2016 

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    Event date: 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagasaki Brick Hall   Country:Japan  

    This paper shows methods to solve a topology optimization problem of a linear elastic body for minimizing the maximum von Mises stress. In order to avoid the non-differentiability of the maximum von Mises stress coming from the locality including the singularity and the jumping property, we use the Kreisselmeier-Steinhauser (KS) function as a cost function. With respect to the limitation of the range of density, we use a function, which is defined in an allowable domain for design and has no limitation on the range, as a design variable and define the density by a sigmoid function of the design variable. To find the optimum density, iterative algorithms based on the $H^{1}$ gradient method using the derivative of the cost function with respect to arbitrary variation of the design variable, which was previously proposed, and a $H^{1}$ Newton method using the second derivative, which is developed to improve the time-consuming computation. The validity of both methods are verified by numerical examples by FreeFEM++. The numerical results show that the proposed $H^{1}$ Newton method is faster than the $H^{1}$ gradient method.

  76. Second Shape Derivative of Mean Compliance for Linear Elastic Body and Newton Method International conference

    Yusuke Naritomi, Kento Furuki, Hideyuki Azegami

    Asian Congress of Structural and Multidisciplinary Optimization 2016 

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    Event date: 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagasaki Brick Hall   Country:Japan  

    In the present study, we use the formulae of the shape derivatives for functionals using domain integrals to evaluate the second shape derivative, which we call Hessian form of shape derivative, of cost functions. The Hessian form is obtained by evaluating the second shape derivative of the Lagrange function using the formulae of shape derivatives of domain integral type and the adjoint variable method. Moreover, using the Hessian form, we propose a Newton method which we call H1 Newton method for the shape optimization problem. In this method, the Hessian form is used for the bilinear-form in the H1 gradient method. As an example, we chose the mean compliance for linear elastic body as cost function, and derive its Hessian form. The effectiveness of the H1 Newton method is demonstrated using numerical examples.

  77. Solution of shape optimization problem and its application to product design Invited

    Hideyuki Azegami

    Japan Association for Nonlinear CAE (JANCAE) 

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    Event date: 2016.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  78. Choice of cost function in shape optimization problem of Navier-Stokes flow field

    Yukinobu Kimura, Hideyuki Azegami

    The 2016 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2016.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  79. Second derivative of cost function and Newton method in shape optimization problem of continuum

    Hideyuki Azegami, Yusuke Naritomi, Kenzen Takeuchi, Kento Furuki

    The 2016 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2016.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  80. Construction of numerical model of patient's spine from medical image data

    Hairul bin Bakri, Hideyuki Azegami

    The 2016 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2016.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  81. Topology optimization problem of density type for minimization of the maximum Mises stress in linear elastic body

    Chancharoen Wares, Hideyuki Azegami

    The 2016 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2016.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  82. Solution of shape optimization problem and its application to product design Invited

    Hideyuki Azegami

    The 10th Technical Seminar, Study Group of applied mathematics for Manufacturing Company in JSIAM 

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    Event date: 2016.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  83. Second derivative of cost function and Newton method in design problem of optimum shape Invited

    Hideyuki Azegami

    Experience workshop of mathematical medicine: the school of autumn by Japan-France mathematicians 

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    Event date: 2015.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Toyonaka Campus, Osaka Univerity   Country:Japan  

  84. Simulation of three dimentional shape optimization

    Hideyuki Azegami, Kenzen Takeuchi

    The 6th Conference of Transdisciplinary Federation of Science and Technology 

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    Event date: 2015.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  85. Solution of shape optimization problem and its application to product design Invited

    Hideyuki Azegami

    The 15th Workshop on Continuum Mechanics Focusing on Solid (CoMFoS11), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2015.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  86. Participation of buckling phenomenon in progress of idiopathic scoliosis

    Hideyuki Azegami, Han Sun, Noriaki Kawakami

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    Event date: 2015.11

    Language:Japanese   Presentation type:Oral presentation (keynote)  

    Country:Japan  

  87. Shape optimization of fundamental boundary in linear elastic body

    Hiroaki Goto, Hideyuki Azegami

    JSME 28th Computational Mechanics Division Conference 

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    Event date: 2015.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  88. Implementation of Shape Optimization Analysis for Link Mechanisms Cooperating with CAE Software

    Yuichiro Ojima, Hideyuki Azegami

    The 25th Annual Meeting of JSME/DSD (Design and System Devision)  

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    Event date: 2015.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  89. Shape optimization for minimizing the KS function of von Mises stress using shape derivative of domain integral type

    Kohei Shintani, Hideyuki Azegami

    2015 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2015.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  90. Shape derivative formula of domain integral type International conference

    Hideyuki Azegami, Kenzen Takeuchi, Yusuke Naritomi

    The 11th World Congress on Structural and Multidisciplinary Optimization(WCSMO-11)  

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    Event date: 2015.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  91. Shape optimization of waveguide cut-off filter International conference

    Masayoshi Satake, Hideyuki Azegami

    The 11th World Congress on Structural and Multidisciplinary Optimization(WCSMO-11)  

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    Event date: 2015.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  92. Shape optimization for minimizing the KS function of von Mises stress using shape derivative of domain integral type International conference

    Yusuke Naritomi, Hideyuki Azegami

    The 11th World Congress on Structural and Multidisciplinary Optimization(WCSMO-11)  

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    Event date: 2015.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  93. Topology optimization problem of density type for flow field using mean flow resistance as cost function

    Kazuki Hashimoto, Hideyuki Azegami

    The 2015 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2015.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  94. Construction of numerical model of patient's spine from medical image data

    Yumi Sato, Hideyuki Azegami

    The 2015 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2015.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  95. Shape optimization problem of waveguide on transmission characteristic

    Masayoshi Satake, Hideyuki Azegami

    The 2015 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2015.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  96. Cost function in shape optimization problem of Stokes flow field for flow resistance

    Yukinobu Kimura, Hideyuki Azegami

    The 2015 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2015.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  97. Optimal Shape Design Approach to an Inverse Free Boundary Problem

    Maharani Ahsani Ummia, Masato Kimura, Hideyuki Azegami, Kohji Ohtsuka, Armanda Ikhsan

    The 2015 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2015.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  98. Shape Optimization Approach to a Free Boundary Problem

    Maharani Ahsani Ummia, Masato Kimura, Hideyuki Azegami, Kohji Ohtsuka, Armanda Ikhsan

    The International Symposium on Computational Science (ISCS 2015) 

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    Event date: 2015.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    We take a shape optimization approach to solve a free boundary problem of the Poisson equation numerically. A numerical method called traction method invented by one of the authors are applied. We begin by changing the free boundary problem to a shape optimization problem and define a least square functional as a cost function. Then shape derivative of the cost function is derived by using Lagrange multiplier method. Detail structures and profiles of exact solutions to a concrete free boundary problem due to A. Henrot are also illustrated with proofs. They are used to check the efficiency of the traction method.

  99. Study on pathogenic mechanism of idiopathic scoliosis by nonlinear buckling analysis

    Han Sun, Hideyuki Azegami

    The 27th Bioengineering Conference (2015 Annual Meeting of BED/JSME) 

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    Event date: 2015.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  100. Shape derivative formula of domain integral type

    Hideyuki Azegami, Kenzen Takeuchi, Yusuke Naritomi

    The 11th Symposium on Optimization of JSME 

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    Event date: 2014.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  101. Solution to Shape Optimization Problems using Ordinary Differential Equations

    Daisuke Murai, Yukinobu Kimura, Kawamoto A, Azegami H

    The 11th Symposium on Optimization of JSME 

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    Event date: 2014.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  102. Application of shape optimization theory to modeling of skeleton and elucidating pathogenesis of scoliosis Invited

    Kohei Shintani, Hideyuki Azegami

    Experience workshop of mathematical medicine: the school of autumn by Japan-France mathematicians 

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    Event date: 2014.10 - 2014.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  103. Shape optimization of beads in shell with respect to frequency response

    Kohei Shintani, Hideyuki Azegami

    2014 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2014.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  104. A design method of beads in shell structure using non-parametric shape optimization method International conference

    Kohei Shintani, Hideyuki Azegami

    The ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2014) 

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    Event date: 2014.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  105. Study on pathogenic mechanism of idiopathic scoliosis International conference

    Han Sun, Hideyuki Azegami

    The 11th World Congress on Computational Mechanics (WCCM XI) 

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    Event date: 2014.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

  106. Shape optimization of rubber bushing International conference

    Kouhei Shintani, Hideyuki Azegami

    The 11th World Congress on Computational Mechanics (WCCM XI) 

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    Event date: 2014.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

  107. Damage Identification of Building Using Vibrational Eigen Value Pairs International conference

    Kazuma Tago, Takayoshi Aoki, Hideyuki Azegami

    The Eighth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 8) 

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    Event date: 2014.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  108. Shape Optimization Using First-order Ordinary Differential Equations International conference

    Daisuke Murai, Yukinobu Kimura, Atsushi Kawamoto, Hideyuki Azegami

    The Eighth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 8) 

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    Event date: 2014.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  109. Regularized solution to shape optimization problem Invited

    Hideyuki Azegami

    The 41th Applied Mathematics Forum 

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    Event date: 2014.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  110. Shape optimization and problems of flow fields

    Hideyuki Azegami

    RIMS Workshop -Application to actual problems of topology optimization theory for continuum 

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    Event date: 2014.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  111. Damage identification of building using vibrational eigen value pair

    Kazuma Tago, Takayoshi Aoki, Hideyuki Azegami

    The 10th Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  112. On shape optimization with respect to stability of flow field

    Takashi Nakazawa, Hideyuki Azegami

    The 10th Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  113. Numerical solution to shape optimization problem of beads with respect to eigen frequency

    Kohei Shintani, Hideyuki Azegami

    The 10th Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  114. Basics of shape optimization theory and its application to flow field problems

    Hideyuki Azegami

    Workshop on development of less-invasive artificial blood vessel and construction of related numerical analysis method, Short-term joint research, IMI, Kyushu University 

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    Event date: 2014.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  115. Principle of nonparametric shape optimization program and its application to product design Invited

    Hideyuki Azegami

    Special lecture meeting, Hokuriku Shin-etsu Branch, The Japan Society for Precision Engineering 

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    Event date: 2014.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  116. Regularized solution to shape optimization problem and its application to flow field problems

    Hideyuki Azegami

    Joint workshop on pure and applied mathematics 

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    Event date: 2013.10 - 2013.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  117. Shape optimization for natural vibration at equilibrium after large deformation

    Hideyuki Azegami, Kohei Shintani

    The 32th Workshop on Continuum Mechanics Focusing on Solid (CoMFoS13), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2013.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  118. Shape optimization for electrode of electrostatic capacitive touch sensor

    Masayoshi Satake, Noboru Maeda, Shinji Fukui, Hideyuki Azegami

    The 2013 IEICE Society Conference 

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    Event date: 2013.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  119. Shape optimization of hyperelastic body having prescribed loading history

    Kohei Shintani, Hideyuki Azegami

    2013 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2013.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  120. Construction method of the shape optimization problem using the infinity norm of gradient as cost function

    Hideyuki Azegami, Kohei Shintani

    2013 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2013.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  121. Shape Optimization for Brake Squeal International conference

    Kohei Shintani, Hideyuki Azegami

    The 10th World Congress on Structural and Multidisciplinary Optimization (WCSMO-10)  

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    Event date: 2013.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  122. Shape Optimization of Electrostatic Capacitive Sensor International conference

    Masayoshi Satake, Noboru Maeda, Shinji Fukui, Hideyuki Azegami

    The 10th World Congress on Structural and Multidisciplinary Optimization (WCSMO-10)  

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    Event date: 2013.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  123. Mathematical modeling of muscle activity with respect to steering action

    Daichi Kato, Masateru Amano, Yoshikazu Hattori, Hideyuki Azegami

    The 2013 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  124. Solution to shape optimization problem for phenomena of brake squeal

    Kohei Shintani, Hideyuki Azegami

    The 2013 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  125. On evaluation of the shape derivative with respect to singular points using generalized J integral

    Hideyuki Azegami, Kohji Ohtsuka, Masato Kimura

    The 2013 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  126. Formulation of shape optimization problem for capacitive sensor

    Masayoshi Satake, Noboru Maeda, Shinji Fukui, Hideyuki Azegami

    The 2013 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  127. On shape derivative around singular point in shape optimization problem

    Hideyuki Azegami

    Workshop : Phenonema and Mathematical Aspects of Continuum Mechanics III, Mathematics in Continuum Mechanics, the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2013.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  128. Construction method of numerical models for individual patients based on medical data

    Shunsuke Shibata, Hideyuki Azegami

    The 25th Bioengineering Conference (2013 Annual Meeting of BED/JSME) 

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    Event date: 2013.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  129. Formulation of shape optimization problem based on abstract optimum design problem

    Hideyuki Azegami

    The 12th Workshop on Continuum Mechanics Focusing on Solid (CoMFoS12), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2012.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  130. Shape Optimization of Link Mechanism

    Liren Zhou, Hideyuki Azegami

    2012 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2012.8 - 2012.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  131. Problem construction for shape optimization using mini-max cost function

    Kohei Shintani, Hideyuki Azegami

    2012 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2012.8 - 2012.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  132. An Idea of Shape Optimization Method and its Applications Invited International conference

    Hideyuki Azegami

    Special lecture 

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    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  133. Shape Optimization Problem for Link Mechanism International conference

    Riren Zhou, Hideyuki Azegami

    The Seventh China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 6) 

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    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (keynote)  

    Country:China  

  134. Shape optimization for flow field by particle method

    Shingo Mikada, Hideyuki Azegami

    The 2012 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2012.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  135. Topology optimization problem of {Stokes} flow field

    Daisuke Murai, Hideyuki Azegami

    The 2012 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2012.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  136. Shape optimization problem of {Timoshenko} beam using basis function of {NURBS}

    Sayaka Adachi, Hideyuki Azegami

    The 2012 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2012.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  137. Shape optimization for boundary value problems of PDE and its application to mechanical design Invited International conference

    Hideyuki Azegami

    ESF-JSPS Frontier Science Conference, Series for Young Researchers, Mathematics for Innovation: Large and Complex Systems 

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    Event date: 2012.2 - 2012.3

    Language:English   Presentation type:Oral presentation (keynote)  

    Country:Japan  

  138. On application of GJ-integral to shape optimization problems

    Hideyuki Azegami

    Workshop : Phenonema and Mathematical Aspects of Continuum Mechanics II, Mathematics in Continuum Mechanics, the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2012.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  139. Shape and topology optimization problems of continua and their numerical solutions Invited International conference

    Hideyuki Azegami

    2011 Taiwan-Japan Joint workshop on Numerical Analysis and Scientific Computation 

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    Event date: 2011.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Taiwan, Province of China  

  140. Shape derivatives of cost functions in shape optimization problems

    Hideyuki Azegami, Daisuke Murai

    The 11th Workshop on Continuum Mechanics Focusing on Solid (CoMFoS11), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2011.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  141. Error analysis for a regular solution of topology optimization problem International conference

    Daisuke Murai, Hideyuki Azegami

    The 9th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2011) 

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    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Greece  

  142. Reconsideration of H1 gradient method for shape optimization problems

    Hideyuki Azegami, Daisuke Murai, Kohji Ohtsuka, Masato Kimura

    2010 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2011.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  143. Error analysis of H1 gradient method for shape optimization problems

    Daisuke Murai, Hideyuki Azegami

    2010 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2011.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  144. Shape optimization of continua using NURBS as basis functions International conference

    Shota Fukumoto, Taiki Aoyama, Hideyuki Azegami

    The 9th World Congress on Structural and Multidisciplinary Optimization (WCSMO-9)  

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    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  145. Multi-purpose shape optimization in forced heat-convection fields International conference

    Eiji Katamine, Shohei Shiraki, Hideyuki Azegami

    The 9th World Congress on Structural and Multidisciplinary Optimization (WCSMO-9)  

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    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  146. Error analysis of H1 gradient method for topology optimization problems of continua International conference

    Daisuke Murai, Hideyuki Azegami

    The 9th World Congress on Structural and Multidisciplinary Optimization (WCSMO-9)  

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    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  147. Error analysis of H1 gradient method for topology optimization problems

    Daisuke Murai, Hideyuki Azegami

    The 2011 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2011.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  148. An application of topology optimization problem of density type to defect identification

    Tomofumi Ito, Hideyuki Azegami

    The 2011 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2011.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  149. Shape optimization using NURBS as basic function

    Shota Fukumoto, Hideyuki Azegami

    The 2011 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2011.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  150. Structure and regular solution of shape optimization problems

    Hideyuki Azegami

    Workshop on Phenomena and Mathematics in Continuum Mechanics, Mathematics in Continuum Mechanics, the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2011.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  151. Examination of shape optimization for the nonlinear buckling phenomenon of suspension parts

    Kouhei Shintani, Takaaki Nagatani, Satoshi Ito, Hideyuki Azegami

    OPTIS 2010 

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    Event date: 2010.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  152. Solution to shape fitting problem using density as design variable

    Akihiro Kokura, Hideyuki Azegami

    OPTIS 2010 

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    Event date: 2010.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  153. Solution to shape fitting problem using density as design variable

    Akihiro Kokura, Hideyuki Azegami

    The 10th Workshop on Continuum Mechanics Focusing on Solid (CoMFoS10), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2010.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  154. Higher order H1 gradient method for shape optimization problems

    Hideyuki Azegami

    2010 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  155. Regularization solution of topology optimization problem for continuum by Phase-field method

    Tomofumi Ito, Hideyuki Azegami

    2010 Annual Meeting of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  156. Regular solutions to shape and topology optimization problems for boundary value problems Invited International conference

    Hideyuki Azegami

    The 2010 NIMS Conference and the Third China-Japan-Korea Joint Conference on Numerical Mathematics 

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    Event date: 2010.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Korea, Republic of  

  157. Irregularity of Shape and Topology Optimization Problems for Boundary Value Problems and Its Regularization Method International conference

    Hideyuki Azegami

    The Sixth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 6) 

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    Event date: 2010.6

    Language:English   Presentation type:Oral presentation (keynote)  

    Country:Japan  

  158. Shape optimization problem of multi-body systems Invited International conference

    Kimihiro Umemura, Naoya Kondo, Taiki Aoyama, Hideyuki Azegami

    The Sixth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 6) 

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    Event date: 2010.6

    Language:English   Presentation type:Oral presentation (keynote)  

    Country:Japan  

    This paper presents numerical solution of shape optimization problems for multi-body systems. Multi-body system is defined as linked linear elastic bodies which elastic deformations are small enough not to influence rigid motion. Shape optimization problem is constructed using an external work done by a given external force for an assigned time interval as an objective function to maximize, and the Kreisselmeier-Steinhauser function of the Mises stress in the elastic deformation of links in a constraint function. Shape derivatives of these cost functions are evaluated theoretically. A scheme to solve the shape optimization problem is presented using the traction method as a reshaping algorithm keeping smoothness of boundary.

  159. Shape optimization problem of elastic bodies for controlling contact pressure Invited International conference

    Hideyuki Azegami

    The 2nd International Workshops on Advances in Computational Mechanics (IWACOM-2) 

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    Event date: 2010.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  160. Shape optimization of linked mechanisms based on criterion of material strength

    Hideyuki Azegami

    The 5th Computational Mechanics Symposium, Center for Computational Mechanics Research, Toyo University 

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    Event date: 2010.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  161. H1 Gradient Method for Topology Optimization Problems of Continua

    Hideyuki Azegami, Satoshi Kaizu, Kenzen Takeuchi

    The 2010 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2010.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  162. Shape optimization of linked mechanisms

    Naoya Kondo, Hideyuki Azegami

    The 2010 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2010.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  163. A trial of shape optimization for non-stable Navier-Stokes flow fields by particle method

    Kyohei Oda, Hideyuki Azegami

    Yayoi Meeting: Workshop on Particle method 

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    Event date: 2010.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  164. Possibility of higher order H1 gradient method for shape optimization method

    Hideyuki Azegami

    Workshop on Theory and Practice for Numerical Simulations 

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    Event date: 2010.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  165. Applications of shape optimization problems by domain perturbation

    Hideyuki Azegami

    Workshop on Variational Calculus and Domain Perturbations, Continuum Mechanics Focusing on Singularities, the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2010.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  166. Basics of shape optimization problems by domain perturbation Invited

    Hideyuki Azegami

    Workshop on Variational Calculus and Domain Perturbations, Continuum Mechanics Focusing on Singularities, the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2010.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  167. A review of the shape optimization theory for boundary value problems Invited

    Hideyuki Azegami

    The 9th Workshop on Continuum Mechanics Focusing on Singularities (CoMFoS09), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2009.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  168. Numerical Solution of Shape Optimization Problems for Non-stationary Navier-Stokes Problems

    Hideyuki Azegami, Yutaro Iwata, Eiji Katamine

    2009 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2009.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  169. Shape Optimization of Steady-state Heat-conduction Fields Considering Temperature Dependence of Thermal Conductivity

    Eiji Katamine, Koji Minoura, Shingo Mikada, Hideyuki Azegami

    2009 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2009.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  170. A Shape Optimization Method for the Optimal Free-form Design of Shell Structures International conference

    Masatoshi Shimoda, Kyohei Iwasa, Hideyuki Azegami

    The 8th World Congress on Structural and Multidisciplinary Optimization (WCSMO-8)  

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    Event date: 2009.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a numerical optimization method for the optimum shape design of shell structures. It is assumed that the shell is varied in the normal direction to the surface to determine the optimal free-form shape while keeping the thickness constant. A compliance minimization problem subject to a volume constraint is treated here with the aim of maximizing the stiffness of shell structures.

  171. Numerical solution of shape optimization problems for Navier-Stokes problems International conference

    Hideyuki Azegami, Yutaro Iwata, Eiji Katamine

    The 8th World Congress on Structural and Multidisciplinary Optimization (WCSMO-8)  

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    Event date: 2009.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Portugal  

    This paper presents a numerical solution of shape optimization problems for non-stationary Navier-Stokes problems. As a concrete problem, we consider a problem finding the shape of flow field in which obstacle exists that minimizes pressure loss integral for assigned time interval and in the flow field while satisfying a domain measure constraint.

  172. Solution to shape optimization problems for initial boundary value problems

    Hideyuki Azegami

    The 4th Computational Mechanics Symposium, Center for Computational Mechanics Research, Toyo University 

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    Event date: 2009.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  173. Solution of shape optimization problem of linked linear elastic bodies

    Kimihiro Umemura, Hideyuki Azegami

    The 2009 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2009.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  174. Solution of shape identification problem of contacting elastic bodies in large deformation

    Takahiro Iwai, Hideyuki Azegami

    The 2009 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2009.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  175. A regularization solution of shape and topology optimization problems for domains of boundary value problems Invited

    Hideyuki Azegami

    Q-NA Seminar 

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    Event date: 2008.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  176. Consciousness of regularity for sensitivities in shape and topology optimization problems Invited

    Hideyuki Azegami

    JSME D&S Seminar : Optimum Design - Toplogy and Shape Optimization II 

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    Event date: 2008.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  177. A regularization solution of shape and topology optimization problems for domains of boundary value problems Invited

    Hideyuki Azegami

    RIMS Workshop - Numerical Analysis: Theory, Methods, and Applications 

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    Event date: 2008.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  178. Shape Identification of Contacting Elastic Continua Considering Large Deformation

    Takahiro Iwai, Hideyuki Azegami

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    Event date: 2008.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  179. Formulation of Shape Optimization Problems for Link Mechanism

    Kimihiro Umemura, Hideyuki Azegami

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    Event date: 2008.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  180. Shape Optimization of Structure Maximizing Sound Pressure Power in Acoustic-Structural Interaction System

    Yuri Nakamura, Taiki Aoyama, Hideyuki Azegami

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    Event date: 2008.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  181. Shape Optimization for Interface Problem of Solid Structure (Control of Stress Distribution)

    Masatoshi Shimoda, Shintaro Motora, Hideyuki Azegami

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    Event date: 2008.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  182. Numerical Solution of Shape Optimization Problems for Navier-Stokes Problems

    Yutaro Iwata, Hideyuki Azegami, Eji Katamine

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    Event date: 2008.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  183. Examination of shape optimization for the fatigue strength of suspension parts

    Takaaki Nagatani, Hideyuki Azegami

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    Event date: 2008.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  184. Optimization Method for Configuration Design of Shell Structure

    Masatoshi Shimoda, Kyohei Iwasa, Hideyuki Azegami

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    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  185. H1 Gradient Method for Topology Optimization Problems of Continua

    Hideyuki Azegami, Satoshi Kaizu

    2008 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  186. Shape Optimization Problem for Acoustic Musical Instruments

    Yuri Nakamura, Kouhei Shintani, Taiki Aoyama, Hideyuki Azegami

    2008 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  187. Shape Optimization of Structure under Pressure Loading

    Masatoshi Shimoda, Shintaro Motora, Hideyuki Azegami

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    Event date: 2008.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  188. Shape Identification of Forced Heat-Convection Fields International conference

    Eiji Katamine, Yoshiyuki Kawase, Hideyuki Azegami

    Eighth World Congress on Computational Mechanics (WCCM8) in conjunction with Fifth European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2008) 

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    Event date: 2008.6 - 2008.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Italy  

  189. Practical Optimization Method for Design of Three Dimensional Structure International conference

    Masatoshi Shimoda, Shintaro Motora, Hideyuki Azegami

    Eighth World Congress on Computational Mechanics (WCCM8) in conjunction with Fifth European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2008) 

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    Event date: 2008.6 - 2008.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Italy  

  190. Error Estimate of the Shape Gradient for the Stokes Problem by Finite Element Method International conference

    Hideyuki Azegami, Yutaro Iwata, Satoshi Kaizu, Eiji Katamine

    The Fifth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 5) 

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    Event date: 2008.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

    This paper presents numerical examples for error estimate of a shape gradient for a shape optimization problem of the Stokes flow field by the finite element method. In this paper, we consider a shape optimization problem of a substance located in steady-state Stokes flow that minimizes pressure loss under volume constraint as a concrete problem. We show the theoretical relations to estimate the shape gradient and a scheme of finite element method. Using the definitions, we give the above theoretical result on the error estimate and present numerical results of the error estimate. Our numerical results support the theorem.

  191. H1 gradient method for topology and shape optimization

    Hideyuki Azegami

    The 3rd Computational Mechanics Symposium, Center for Computational Mechanics Research, Toyo University 

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    Event date: 2008.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  192. An Attempt of Shape Optimization of Acoustic Musical Instruments

    Kouhei Shintani, Hideyuki Azegami

    The 2008 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2008.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  193. Numerical Example for Error Estimation of Shape Gradient in Stokes Problem

    Yutaro Iwata, Hideyuki Azegami, Satoshi Kaizu

    The 2008 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2008.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  194. Shape Optimization of Acoustic Musical Instruments International conference

    Kouhei Shintani, Kenzen Takeuchi, Hideyuki Azegami

    The third Asian-Pacific Congress on Computational Mechanics (APCOM'07) in conjunction with Elevence Internatinal Coinference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC XI) 

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    Event date: 2007.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a numerical solution to non-parametric shape optimization problems for acoustic musical instruments that maximize sound radiant energy. A procedure to compute the shape gradients of the objective and constraint functionals with respect to the boundary shape variation of the acoustic musical instrument is presented with solutions of adjoint problems for the objective and constraint functionals. For reshaping algorithm using the shape gradient, the traction method is applied

  195. An Implementation of H1 Gradient Method for Topology Optimization of Continua International conference

    Mai Nonogawa, Kenzen Takeuchi, Hideyuki Azegami

    The third Asian-Pacific Congress on Computational Mechanics (APCOM'07) in conjunction with Elevence Internatinal Coinference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC XI) 

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    Event date: 2007.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents an algorithm to solve non-parametric topology optimization problems of domains in which boundary value problems of partial differential equations are defined. In the previous paper, the existence of the optimum density and a numerical solution called the H1 gradient method. This paper gives an implementation of the method by using the primal-dual interior point method.

  196. Shape Optimization of Neumann Noudary by Using the Traction Method

    Masatoshi Shimoda, Shintaro Motora, Hideyuki Azegami

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    Event date: 2007.11

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  197. Optimum design in engineering Invited

    Hideyuki Azegami

    The 7th Workshop on Continuum Mechanics Focusing on Singularities (CoMFoS07), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2007.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  198. Basics of shape optimization Invited

    Hideyuki Azegami

    The 7th Workshop on Continuum Mechanics Focusing on Singularities (CoMFoS07), the Activity Groups of JSIAM (Japan Society for Industrial and Applied Mathematics) 

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    Event date: 2007.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  199. Approach to Non-parametric Shape and Topology Optimization Problems Invited

    Hideyuki Azegami

    The 12th Chubu CAE Social Meeting 

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    Event date: 2007.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  200. Nonlinear buckling analysis for etiology study of idiopathic scoliosis International conference

    Taiki Aoyama, Hideyuki Azegami, Noriaki Kawakami

    Third Asian Pacific Conference on Biomechanics 

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    Event date: 2007.11

    Language:English   Presentation type:Poster presentation  

    Country:Japan  

    This paper investigated buckling phenomena of the spine induced by the growth of vertebral bodies that have potential to cause idiopathic scoliosis. In the previous study, we presented a hypothesis that idiopathic scoliosis is a buckling phenomena induced by the growth of vertebral bodies based on the similarity of the clinical single and double-major curves with the results of the fourth and sixth buckling modes, respectively, as analyzed by the finite-elements method using linear buckling theory. However, this theory is valid for infinitesimal deformation and is not applicable to estimation of stability for post-buckling behavior. In this study, we developed a program to analyze deformation histories caused by the growth of vertebral bodies considering the geometrical nonlinearity and investigated buckling phenomena. We assumed that growth represents generation of non-elastic bulk strain. To exclude modes correctable by posture change, we considered constraints at the cervical spine. Using the developed program, we analyzed deformation histories induced by the growth of vertebral bodies and obtained deformation histories including buckling phenomena with side-bending modes similar to clinical curves. However, the magnitudes of deformations were in the sub-millimeter order that is too small for the etiology of idiopathic scoliosis by itself. Based on the results, we suggested that participation of other phenomena, such as bone remodeling caused by the stresses at the side-bending deformations, will be necessary.

  201. Optimization Method for Configuration Design of Shell Structure

    Masatoshi Shimoda, Kyohei Iwasa, Hideyuki Azegami

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    Event date: 2007.10 - 2007.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    In this paper, we present a numerical analysis method for shape ontimization in the rigidity design of plate and shell structures. It is assumed that the design damain is varied in the in-plane direction to maintain the curvatures of the initial shape. An external work, or a compliance is used as an index of the rigidity. The weight minimization problem subjected to the rigidity constraint is formulated as a non-parametric shape optimization problem using the Lagrangian approach and the material derivative method. The shape gradient function and the optimality conditions are theoretically derived for this problem. The traction method is applied to determine the smooth in-plane domain variation that minimizes the objective functional. This method is applied to a simple shell example and a practical automotive chassis component to verify the effectiveness and practical utility for weight reduction of plate and shell structures subjected to the rigidity constraint.

  202. H1 gradient methods for shape and topology optimization problems Invited

    Hideyuki Azegami

    Professor Olhoff Colloqium on Multi-disciplinary Optimization 

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    Event date: 2007.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  203. On etiology of idiopathic scoliosis: an approach based on mechanics

    Hideyuki Azegami

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    Event date: 2007.10

    Language:Japanese   Presentation type:Oral presentation (keynote)  

    Country:Japan  

    Idiopathic scoliosis is a disorder of unknown etiology. Up to now, various hypotheses such as genetic, physiological and mechanical factors have been proposed. These factors explain relations of causes and effects. However, to understand the whole picture of the etiology, systematical consideration is required. In this presentation, I explained the possibilities to fall into curvature from the mechanical point of view based on our studies and discussed the relationships to other hypotheses.

  204. On Topology Optimization Problems of Continua

    Hideyuki Azegami, Satoshi Kaizu

    2007 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2007.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  205. Shape Optimization of Viscous Flow Fields for Drag Minimization and Lift Maximization

    Eiji Katamine, Naoshi Nishihashi, Hideyuki Azegami

    2007 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2007.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  206. Smoothing Gradient Method for Non-Parametric Shape and Topology Optimization Problems International conference

    Hideyuki Azegami, Satoshi Kaizu

    The 7th World Congress on Structural and Multidisciplinary Optimization (WCSMO-7) 

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    Event date: 2007.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

    This paper presents a concept of H1 gradient method for non-parametric shape and topology optimization problems of domains in which boundary value problems of partial differential equations are defined. At first, we define an abstract gradient method for a minimization problem of a functional in a Banach space by using a coercive bilinear form on a Hilbert space. Using the definition, we present that the traction method is an application of the abstract gradient method. Moreover, we present a possibility of definition of higher order traction methods. For topology optimization problems using the SIMP method, we propose a smoothing topology optimization method by applying the abstract gradient method. An algorithm for the shape and topology optimization problems is presented based on the Sequential Quadratic Programming (SQP) method.

  207. Non-parametric Shape Optimization Method for Thin-walled Structures under Strength Criterion International conference

    Masatoshi Shimoda, Jiro Tsuji, Hideyuki Azegami

    The tenth International Conference on Computer Aided Optimum Design in Engineering (OPTI2007)  

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    Event date: 2007.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  208. Shape Optimization of 3D Viscous Flow Fields International conference

    Eiji Katamine, Yuya Nagatomo, Hideyuki Azegami

    Inverse Problems, Design and Optimization Symposium (IPDO-2007) 

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    Event date: 2007.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  209. A smoothing method for topology optimization problems of continua International conference

    Hideyuki Azegami, Mai Nonogawa, Kenzen Takeuchi, Ryu Sasaoka

    International Conference on Computational Methods(ICCM 2007) 

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    Event date: 2007.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a solution of topology optimization problems of continua using a smoothing gradient method that we call H1 gradient method. Topology optimization problems have been formulated as finding problem of the optimum distribution of density using the homogenization method or the density method to relate density to stiffness. In the solution, it has been known that numerical instabilities such as checkerboard patterns or mesh-dependencies may appear in the case assuming constant distribution of density in element-by-element. In this study, a method based on the smoothing gradient method that was presented by one of the authors is presented.

  210. Solution to shape optimization problems for interaction problems

    Hideyuki Azegami

    The 2nd Computational Mechanics Symposium, Center for Computational Mechanics Research, Toyo University 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  211. Shape Optimization of Contacting Elastic Continua

    Akinobu Sugimoto, Ryu Sasaoka, Kenzen Takeuchi, Hideyuki Azegami

    The 56th National Congress of Theoretical and Applied Mechanics 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a solution of a non-parametric shape optimization problem for contacting elastic continua. We assume that one of the elastic continua is made of different materials and deforms by elastic contact with other elastic continuum. An objective is to determine the shape of the joint boundary to accord a distribution of contact stress with a desired one on an assigned contact sub-boundary.

  212. Nonlinear buckling analysis for etiology study of idiopathic scoliosis

    Taiki Aoyama, Hideyuki Azegami

    The 56th National Congress of Theoretical and Applied Mechanics 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents results of the finite-element analysis on a path of spine deformation induced by the growth of vertebral bodies considering geometrical nonlinearity to investigate the etiology of idiopathic scoliosis. In this study, the influences of position of the constraint and initial irregularity on deformation path are investigated.

  213. Shape Optimization of Fluid-Structure Interaction Problems Considering Stabilization

    Hajime Taniguchi, Eji Katamine, Hideyuki Azegami

    The 56th National Congress of Theoretical and Applied Mechanics 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a solution of a non-parametric shape optimization problem of unsteady fluid-structure interaction problem. In the previous study, the authors presented a formulation of the non-parametric shape optimization problem for incompressible viscous flow field and elastic continuum interaction problem and solution using a shape gradient by the traction method, and demonstrated that the solution works well to an interaction problem with low Reynolds number. In this study, we present a formulation of shape optimization problem using a stabilization method of SUPG and an evaluation of the shape gradient for the shape optimization problem.

  214. Shape Optimization of Heat-Conduction Fields for Thermal Dissipatiion Maximization

    Yutaro Iwata, Eji Katamine, Hideyuki Azegami

    The 56th National Congress of Theoretical and Applied Mechanics 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  215. A smoothing method for topology optimization problems of continua

    Mai Nonogawa, Ryu Sasaoka, Kenzen Takeuchi, Hideyuki Azegami

    The 56th National Congress of Theoretical and Applied Mechanics 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents a solution of topology optimization problems of continua using a smoothing gradient method that we call H^1 gradient method. Topology optimization problems have been formulated as finding problem of the optimum distribution of density. In this study, a method based on the smoothing gradient method is presented.

  216. Smoothing Gradient Method for Non-Parametric Shape and Topology Optimization Problems

    Hideyuki Azegami, Satoshi Kaizu

    The 2007 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  217. Shape Optimization of Heat Convective Fields

    Eiji Katamine, Hideyuki Azegami, Kyohei Oda

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    Event date: 2006.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  218. Shape Optimization on Fluid-Structure Interaction Problems

    Junya Hamasaki, Hideyuki Azegami

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    Event date: 2006.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    Solution of non-parametric shape optimization problem for fluid-structure interaction problem is presented. Considering an elastic body put in steady flow field of incompressible fluid, as an example, minimization problem of the dissipation energy in the flow field under volume constraint of the elastic body is formulated. Shape gradient is derived by the adjoint variable method. Reshaping is carried out by the traction method.

  219. Growth simulation for etiology study of idiopathic scoliosis

    Taiki Aoyama, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 2006.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  220. Shape Optimization on Acoustic-Structure Interaction Problems International conference

    Yoshiaki Hasegawa, Yasuhiko Kagiyama, Hideyuki Azegami

    The Fourth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 4) 

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    Event date: 2006.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

    This paper presents a numerical method for solving nonparametric boundary shape optimization problems of acoustic-structure interaction problems. Sound pressure power integral in a sub-domain included in the acoustic field during frequencies of interest is chosen as an objective functional. Using the shape gradient, a traction method proposed by Azegami and coworkers is applied for reshaping algorithm maintaining smoothness of the boundary shape.

  221. Shape Optimization of Un-steady Heat-conduction Fields for Thermal Dissipatiion Maximization

    Yutaro Iwata, Eji Katamine, Hideyuki Azegami

    The 19th Computational Mechanics Conference of JSME 

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    Event date: 2006.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  222. Shape Optimization Problems: Structure and Solution Invited

    Hideyuki Azegami

    JSME D&S Seminar : Optimum Design - Toplogy and Shape Optimization 

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    Event date: 2006.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

    Nonparametric shape optimization technique has potential to give more information for shape improvement than parametric shape optimization techniques. However, it seems that difficulty to understand its theoretical background makes engineers leave. Although the presenter is an engineer, if we could notice the structure of the nonparametric shape optimization problems, we could get solution in sense of engineering. In this presentation, I talked about my understanding for the problem.

  223. What is made by shape optimization programs? Invited

    Hideyuki Azegami

    Chubu TLO seminar 

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    Event date: 2006.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  224. Shape Optimization on Fluid-Structure Interaction Problems

    Junya Hamasaki, Hideyuki Azegami

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    Event date: 2006.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  225. Shape Optimization on Acoustic-Structure Interaction Problems

    Yoshiaki Hasegawa, Yasuhiko Kagiyama, Hideyuki Azegami

    2006 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2006.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  226. 3D Shape Optimization of Viscous Flow Fields

    Eiji Katamine, Yuya Nagatomo, Hideyuki Azegami

    2006 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2006.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  227. Etiology of Idiopathic Scoliosis and its Application to Clinical Evaluation Invited

    Hideyuki Azegami

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  228. Shape Optimization on Acoustic-Structure Interaction Problems

    Yoshiaki Hasegawa, Yasuhiko Kagiyama, Hideyuki Azegami

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  229. Classification of Clinical Deformities Based on Hypothesis of Mechanical Etiology for Idiopathic Scoliosis

    Ryu Sasaoka, Toshiki Omodaka, Taiki Aoyama, Hideyuki Azegami

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  230. Shape Identification of Forced Convection Heat Transfer Fields with Desired Temperature Distribution

    Eiji Katamine, Kyohei Oda, Hideyuki Azegami

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  231. Shape Optimization on Fluid-Structure Interaction Problems

    Junya Hamasaki, Hideyuki Azegami

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  232. Shape Optimization on Fluid-Structure Interaction Problems

    Junya Hamasaki, Hideyuki Azegami

    The 2006 Meeting of the Union of Research Activity Groups, JSIAM 

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    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  233. Growth simulation on etiology of idiopathic scoliosis

    Taiki Aoyama, Hideyuki Azegami

    The 55th Japan National Congress of Theoretical and Applied Mechanics 

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    Event date: 2006.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  234. Shape Design of Joint boundary between Different Materials Conforming to Prescribed Deformation

    Hideyuki Azegami, Satoshi Koyama

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    Event date: 2005.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  235. Nonlinear Buckling Analysis on Etiology of Idiopathic Scoliosis

    Taiki Aoyama, Hideyuki Azegami

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    Event date: 2005.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  236. Classification of Clinical Deformities Based on Hypothesis of Mechanical Etiology for Idiopathic Scoliosis

    Ryu Sasaoka, Toshiki Omodaka, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 2005.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  237. Numeric Simulation Considering Geometrical Nonlinearity on Etiology of Idiopathic Scoliosis

    Taiki Aoyama, Hideyuki Azegami

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    Event date: 2005.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  238. Improvement of Convergency in Shape Optimization Scheme Based on Gradient Method

    Hideyuki Azegami, Kenzen Takeuchi

    2005 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2005.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  239. Solution to Shape Identification Problem on Thermoelastic Solids with Desired Distribution of Thermal Deformation

    Eiji Katamine, Masahiro Hirai, Hideyuki Azegami

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    Event date: 2005.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  240. Minimum Weight Shape Design for the Natural Vibration Problem of Plate and Shell Structures International conference

    Masatoshi Shimoda, Jiro Tsuji, Hideyuki Azegami

    The Ninth International Conference on Computer Aided Optimum Design in Engineering (OPTI2005)  

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    Event date: 2005.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Greece  

  241. Individual Modeling of Spine Finite-Element Models

    Ryu Sasaoka, Hideyuki Azegami

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    Event date: 2005.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  242. Optimal Shape Design of Plate and Shell Structures for Weight Minimization : A Numerical Solution to Rigidity Design Problem

    Masatoshi Shimoda, Jiro Tsuji, Hisayuki Ishizu, Yasuhiro Kanda, Hideyuki Azegami

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    Event date: 2004.11 - 2004.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  243. Morphing Techniques of Fnite-Element Models Using Traction Method

    Ryu Sasaoka, Kazuma Adachi, Hideyuki Azegami

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    Event date: 2004.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  244. Construction of Individual Spinal Finite Element Model for Patients (Development of Fundamental Tools)

    Ryu Sasaoka, Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino, Yukihiro Matsuyama, Manabu Goto, Hidefumi Inoh, Hisatake Yoshihara

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    Event date: 2004.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  245. Solution to Shape Identification Problem of Soft Elastic Continuum Deforming to Prescribed Shape International conference

    Hideyuki Azegami, Takaaki Nagatani

    International Workshops on Advances in Computational Mechanics (IWACOM) 

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    Event date: 2004.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

    This paper presents a numerical analysis method to determine a shape of a mammary prosthesis that deforms to a prescribed shape by the gravity. An integral of the squared error between the prescribed shape and the shape of the soft elastic continuum after large deformation by the gravity was chosen as the objective functional. The shape gradient can be evaluated by the adjoint variable method. Reshaping was accomplished by the traction method that was proposed as a solution to the boundary shape optimization problems of domains in which boundary value problems of partial differential equations are defined. Applying this method to a three-dimensional beam-like continuum model and a mammary prosthesis model, well convergent results were obtained.

  246. Morphing and Fitting Techniques of Finite-Element Models Using the Traction Method International conference

    Ryu Sasaoka, Kazuma Adachi, Hideyuki Azegami

    The Third China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 2004.10 - 2004.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper presents two types of methods, that we call a morphing method and a fitting method, to deform finite-element models for skeletal parts to accord with medical image data, such as X-ray photographs and voxel image data by the CT scanner or MRI. The morphing method is proposed to pick up nodes on a finite-element model and move them to desired locations under suitable constraints referring to X-ray photographs or CT image data keeping the smoothness of the boundary. The fitting method is proposed to deform a finite-element model to fit into a domain extracted from a voxel image data. These methods are derived as solutions to shape optimization problems using the traction method. Morphing a spine finite-element model to accord with a patient of idiopathic scoliosis and fitting a finite-element model of the third lumber vertebra to a CT image data were demonstrated.

  247. Optimal Shape of Viscous Flow Fields Depending on Reynolds Number International conference

    Eiji Katamine, Tomoyuki Tsubata, Hideyuki Azegami, Masahiro Niwa

    The Third China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 2004.10 - 2004.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    This paper describes a numerical solution to the shape optimization problems of steady-state viscous flow fields. The minimization problem of total dissipation energy was formulated in the domain of viscous flow fields. The shape gradient of the shape optimization problem was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. The shape gradient in this problem is evaluated as a function with the original flow velocity distribution and the adjoint flow velocity distribution. As the results, we can analyze optimal shapes depending on Reynolds number for viscous flow fields using the proposed method. The validity of the proposed method is confirmed by numerical results for several 2D low-Reynolds number problems.

  248. Shape Optimization and its Application to Product Design

    Hideyuki Azegami

    The 6th Chubu CAE Social Meeting 

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    Event date: 2004.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  249. Shape Optimization of Viscous Flow Fields International conference

    Eiji Katamine, Hideyuki Azegami, Tomoyuki Tsubata, Shoji Itoh

    Sixth World Congress on Computational Mechanics in conjunction with Second Asian-Pacific Congress on Computational Mechanics (WCCM VI in conjunction with APCOM'04) 

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    Event date: 2004.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  250. Smoothing Shape Optimization Method: Traction Method Using Robin Condition International conference

    Hideyuki Azegami, Kenzen Takeuchi

    Sixth World Congress on Computational Mechanics in conjunction with Second Asian-Pacific Congress on Computational Mechanics (WCCM VI in conjunction with APCOM'04) 

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    Event date: 2004.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  251. A Solution to Shape Optimization Problems for the Rigidity Design of Plate and Shell Structures International conference

    Masatoshi Shimoda, Jiro Tsuji, Yasuhiro Kanda, Hisayuki Ishizu, Hideyuki Azegami

    Sixth World Congress on Computational Mechanics in conjunction with Second Asian-Pacific Congress on Computational Mechanics (WCCM VI in conjunction with APCOM'04) 

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    Event date: 2004.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  252. Shape Optimization for Shells with Respect to Out-Plane

    Taiki Aoyama, Hideyuki Azegami

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    Event date: 2004.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  253. Potentialities of CAE: Application to Shape Optimization and Medical Treatment

    Hideyuki Azegami

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    Event date: 2003.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  254. Solution to Shape Optimization Problem of Viscous Flow Fields Considering Convection Term

    Eiji Katamine, Tomoyuki Tsubata, Hideyuki Azegami

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    Event date: 2003.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  255. Solution to Shape Identification Problem of Elastic Continuum with Prescribed Large Deformation

    Takaaki Nagatani, Hideyuki Azegami

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    Event date: 2003.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  256. Handling of Multi-Constraints in Solution of Shape Optimization Problems

    Satoshi Koyama, Hideyuki Azegami

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    Event date: 2003.10 - 2003.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  257. Minimum Weight Shape Design for Mindlin Plate and Shell Structures Subject to Natural Frequency Constraint

    Masatoshi Shimoda, Jiro Tsuji, Yasuhiro Kanda, Hideyuki Azegami

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    Event date: 2003.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  258. Difficulties and Solution of Boundary Shape Optimization Problems Invited

    Hideyuki Azegami

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    Event date: 2003.6

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  259. Solution to Boundary Shape Optimization Problems International conference

    Hideyuki Azegami

    The Eighth International Conference on Computer Aided Optimum Design of Structures (OPTI 2003) 

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    Event date: 2003.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:United States  

  260. Solution to Shape Optimization Problems of Viscous Flow Fields International conference

    Eiji Katamine, Hideyuki Azegami, Tomoyuki Tsubata, Shoji Itoh

    Twelfth International Conference on Finite Element Methods in Flow Problems (FEF-03) 

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    Event date: 2003.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  261. Solution to Shape Optimization Problem of Viscous Flow Fields Considering Convection Term International conference

    Eiji Katamine, Tomoyuki Tsubata, Hideyuki Azegami

    International Symposium on Inverse Problems in Engineering Mechanics (ISIP 2003) 

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    Event date: 2003.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  262. Etiology Study on Idiopathic Scoliosis Using a Mechanical Spine Model

    Ryu Sasaoka, Hideyuki Azegami, Noriaki Kawakami

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    Event date: 2003.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  263. Shape Optimization Analysis and Its application to Medical Treatment and Welfare Invited

    Hideyuki Azegami

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    Event date: 2002.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  264. Basics and Examples on Optimization Technology

    Hideyuki Azegami

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    Event date: 2002.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  265. Solution to Boundary Shape Optimization Problem of Linear Elastic Continua with Prescribed Natural Vibration Mode International conference

    Inzarulfaisham Abd Rahim, Taiki Aoyama, Kenzen Takeuchi, Hideyuki Azegami

    The Second China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 2002.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  266. Shape Optimizatuin of Viscous Flow Fields Using a General Purpose FEM Code International conference

    Eiji Katamine, Hideyuki Azegami, Shoji Itoh

    The Second China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 2002.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  267. Solution to Shape Optimization for Natural Vibration Problem of Plate and Shell Structures

    Masatoshi Shimoda, Hideyuki Azegami, Jiro Tsuji, Yasuhiro Kanda

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    Event date: 2002.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  268. Comparative Study of Shape and Topology Optimization Analyses

    Shinichi Maruyama, Kenzen Takeuchi, Hideyuki Azegami

    OPTIS 2002 

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    Event date: 2002.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  269. Solution of Shape Optimization Problem on Viscous Flow Fields

    Eiji Katamine, Tomoyuki Tsubata, Hideyuki Azegami

    2002 Annual Conference of the Japan Society for Industrial and Applied Mathematics 

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    Event date: 2002.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  270. Solution to Shape Optimization for Strength Problems of Plate and Shell Structures: Shape Design by In-Plane Variation

    Masatoshi Shimoda, Hideyuki Azegami, Jiro Tsuji, Yasuhiro Kanda

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    Event date: 2002.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  271. Modeling Skeletal Shape Changes and Growth in Scoliosis International conference

    Hideyuki Azegami, Kenzen Takeuchi1, Ryu Sasaoka1, Noriaki Kawakami

    The Fourth World Congress of Biomechanics  

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    Event date: 2002.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Canada  

  272. Shape Generating Technique of Boundary Variation Type Invited

    Hideyuki Azegami

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    Event date: 2002.7

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  273. Large-Scale Shape Optimization Analysis Using the Domain Decomposition Method

    Yasuo Asaga, Kenzen Takeuchi, Hideyuki Azegami, Shinobu Yoshimura

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    Event date: 2002.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  274. Shape Optimization Theory and Its Applications to Weight Saving

    Hideyuki Azegami

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    Event date: 2002.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  275. Shape Optimization of Sound Fields

    Masanobu Suyama, Hideyuki Azegami

    The 51st Japan National Congress of Theoretical and Applied Mechanics 

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    Event date: 2002.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  276. Leading Edge of Optimization Analysis

    Hideyuki Azegami

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    Event date: 2001.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  277. Numerical Solution to Shape Optimization for Plate and Shell Structures by In-Plane Variation

    Masatoshi Shimoda, Hideyuki Azegami, Jiro Tsuji, Yasuhiro Kanda

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    Event date: 2001.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  278. An Experiment with a Mechanical Model on the Etiology of Idiopathic Scoliosis: Examination with Precise Spine Model

    Ryu Sasaoka, Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino, Yukihiro Matsuyama, Manabu Goto, Hidefumi Inoh, Hisatake Yoshihara

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    Event date: 2001.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  279. Improvement of Convergency in Shape Optimization Scheme by Traction Method

    Kenzen Takeuchi, Hideyuki Azegami

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    Event date: 2001.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  280. Solution to Nonparametric Optimization Problem of Frame Structures

    Naoyuki Yamamoto, Hideyuki Azegami, Masatoshi Shimoda

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    Event date: 2001.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  281. A Study on Stability of Spine during Growth Period: Around Etiology of Idiopathic Scoliosis

    Hideyuki Azegami, Kenzen Takeuchi, Ryu Sasaoka

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    Event date: 2001.5 - 2001.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  282. Solution to Shape Optimization Problem of Linear Elastic Continuum with Prescribed Vibrational Eigen-mode

    Inzarulfaisham abd Rahim, Hideyuki Azegami

    Proceedings of the 50th JSME Tokai Branch Meeting 

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    Event date: 2001.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  283. Solution to Advection Equation Using Incompatible Elements

    Tomoyuki Tsubata, Hideyuki Azegami, Satoshi Kaizu, Kenzen Takeuchi

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    Event date: 2001.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  284. Application of Structural Optimization Theory to Medical Treatment Invited

    Hideyuki Azegami

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    Event date: 2001.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  285. Large Scale Analysis and Shape Optimization by Traction Method Invited

    Hideyuki Azegami

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    Event date: 2001.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  286. Solution to Shape Optimization Problems of Continua on Thermal Elastic Deformation International conference

    Hideyuki Azegami, Seiji Yokoyama, Eiji Katamine

    International Symposium on Inverse Problems in Engineering Mechanics (ISIP 2001) 

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    Event date: 2001.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  287. Solution to Shape Optimization Problem for Sound Field: Interior Noise Reduction Problem

    Hideyuki Azegami, Yasuhiro Matsuura, Shinichi Maruyama

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    Event date: 2000.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  288. Numerical Simulation on Etiology of Idiopathic Scoliosis: Modal Investigation

    Kenzen Takeuchi, Hideyuki Azegami, Ryu Sasaoka, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Manabu Goto, Mitsunori Makino, Yukihiro Matsuyama

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    Event date: 2000.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  289. Solution to Boundary Variational Domain Shape Optimization Problems

    Hideyuki Azegami

    2000 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2000.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  290. Solution to Shape Optimization Problem Considering Material Non-linearity and Geometrical Non-linearity

    Hideyuki Azegami, Hisashi Ihara, Noritaka Matsuoka, Masatoshi Shimoda, Katsuhiko Watanabe

    OPTIS 2000 

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    Event date: 2000.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  291. Solution to Shape Optimization Problem Considering Material Non-linearity and Geometrical Non-linearity

    Hideyuki Azegami, Hisashi Ihara, Noritaka Matsuoka, Masatoshi Shimoda, Katsuhiko Watanabe

    2000 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2000.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  292. Solution to Shape Optimization Problems of Viscous Flow Fields and Heat Transfer Fields

    Eiji Katamine, Hideyuki Azegami

    2000 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 2000.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  293. Study on Treatment with Respect to Idiopathic scoliosis: Sensitivity Analysis based on Buckling Theory

    Kenzen Takeuchi, Ryu Sasaoka, Hideyuki Azegami, Noriaki Kawakami

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    Event date: 2000.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  294. Solution to Shape Optimization Problem for Sound Field: Concert Hall Problem

    Hideyuki Azegami, Yasuhiro Matsuura

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    Event date: 2000.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  295. Creation of Mechanism Using Linear Elastic Deformation

    Hideyuki Azegami, Akihiro Satake, Kazumi Kodama

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    Event date: 2000.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  296. Sensitivity Analysis with Respect to Idiopathic Scoliosis: Application of Structural Optimization Theory International conference

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    The Eleventh International Conferences on Mechanics in Medicine and Biology 

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    Event date: 2000.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  297. Solution to Shape Determination Problem on Unsteady Heat-Conduction Fields International conference

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matsuura

    International Symposium on Inverse Problems in Engineering Mechanics (ISIP 2000) 

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    Event date: 2000.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  298. Solution to Boundary Shape Identification Problems in Elliptic Boundary Value Problems Using Shape Derivatives International conference

    Hideyuki Azegami

    International Symposium on Inverse Problems in Engineering Mechanics (ISIP 2000) 

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    Event date: 2000.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  299. Shape Optimization of Transient Response Problems International conference

    Zhiqiang Wu, Yuji Sogabe, Yutaka Arimitsu, Hideyuki Azegami

    International Symposium on Inverse Problems in Engineering Mechanics (ISIP 2000) 

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    Event date: 2000.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  300. Solution of Nonparametric Shape Optimization Problems Invited

    Hideyuki Azegami

    Aerospace Numerical Simulation Symposium '99 

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    Event date: 1999.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  301. Analysis of shapes: Optimum design and biomechanics Invited

    Hideyuki Azegami

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    Event date: 1999.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  302. Etiology of Thoracic Cage Distorsion in Idiopathic Scoliosis

    Kenzen Takeuchi, Ryu Sasaoka, Hideyuki Azegami, Manabu Goto, Noriaki Kawakami

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    Event date: 1999.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  303. Solution to Shape Optimization Problems on Heat Elastic Deformation

    Hideyuki Azegami, Seiji Yokoyama

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    Event date: 1999.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  304. The Etiology of Idiopathic Scoliosis: By Using Finite Element Mehtod

    Manabu Goto, Noriaki Kawakami, Yuji Matsubara, Tokumi Kanemura, Hideyuki Azegami, Kenzen Takeuchi, Ryu Sasaoka, Yukihiro Matsuyama

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    Event date: 1999.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  305. Sensitivity Analysis with Respect to Idiopathic Scoliosis: Application of Structural Optimization Theory

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1999.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  306. Solution of Nonparametric Shape Optimization Problems

    Hideyuki Azegami

    Aerospace Numerical Simulation Symposium '99  

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    Event date: 1999.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  307. Shape Optimization Analysis of Transient and Random Vibration Problems International conference

    Zhiqiang Wu, Yuji Sogabe, Yutaka Arimitsu, Hideyuki Azegami

    The First China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 1) 

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    Event date: 1999.10 - 2000.1

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  308. Boundary Shape Determination on Steady-State Heat Conduction Fields International conference

    Eiji Katamine, Hideyuki Azegami, Masami Kojima

    The First China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 1) 

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    Event date: 1999.10 - 1999.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  309. Solution of Shape Optimization Problems to Maximize Deformation under Constraints on Stiffness and Strength International conference

    Hideyuki Azegami, Kazumi Kodama

    The First China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM 1) 

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    Event date: 1999.10 - 1999.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  310. Shape Optimization on Steady-State Heat Conduction Fields

    Eiji Katamine, Shinji Nakano, Hideyuki Azegami

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    Event date: 1999.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  311. Shape Optimization of Viscous Flow Fields using a General Purpose FEM Code

    Eiji Katamine, Hideyuki Azegami, Katsuji Ito

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    Event date: 1999.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  312. Solution of Shape Optimization Problems to Maximize Deformation

    Hideyuki Azegami, Kazumi Kodama

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    Event date: 1999.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  313. Solution to Shape Optimization Problems Considering Material Nonlinearity International conference

    Hisashi Ihara, Hideyuki Azegami, Masatoshi Shimoda

    The Sixth International Conference on Computer Aided Optimum Design of Structures (OPTI 99) 

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    Event date: 1999.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

    This paper presents a theory of a mathematical solution to boundary shape optimization problems of elastic-plastic continua, taking into account material nonlinearity. Shape variation is described by using a one-parameter family of mappings defined in a domain where a continuum lies initially. The goal is to minimize external work by varying a boundary shape under a volume constraint. The shape sensitivity is derived using the Lagrange multiplier method and the formula of the material derivative. A procedure to solve this problem using the traction method is presented, which one of the authors has proposed as an approach to solving domain optimization problems.

  314. Shape Optimization with Respect to Buckling International conference

    Hideyuki Azegami, Yasuhiro Sugai, Masatoshi Shimoda

    The Sixth International Conference on Computer Aided Optimum Design of Structures (OPTI 99) 

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    Event date: 1999.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

    A shape optimization method for linear buckling load maximization problems of continua is presented. Using a one-parameter family of mappings defined in a domain where a continuum lies initially, a buckling load maximization problem considering multimodal conditions was formulated. The shape gradient density function for the problem was derived using the Lagrange multiplier method and the formula of the material derivative. The shape gradient density function was then used in a shape optimization analysis conducted with the traction method. The validity of the proposed method is demonstrated by numerical analyses of column-like and arch-like two-dimensional continua in a plane strain condition.

  315. Development of Shape Optimization Method and Trial of Mezo Structure Design Invited

    Hideyuki Azegami

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    Event date: 1999.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  316. Development of Shape Optimization Theory and Application to Structural Design of Machines Invited

    Hideyuki Azegami

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    Event date: 1999.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  317. Solution to Shape Determination Problems on Flow Fields and Heat Conduction Fields

    Eiji Katamine, Hideyuki Azegami

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    Event date: 1998.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  318. Optimum design of Meso-structure

    Hideyuki Azegami, Yoshitomo Watanabe

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    Event date: 1998.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  319. Shape Optimization for Buckling

    Hideyuki Azegami, Yasuhiro Sugai, Masatoshi Shimoda

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    Event date: 1998.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  320. Application of Shape Optimization Theory to Formulation of Bone Remodeling Phenomena

    Hideyuki Azegami

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    Event date: 1998.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  321. Numerical Simulation on Etiology of Idiopathic Scoliosis: Improving the Precision of Numerical Model

    Kenzen Takeuchi, Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1998.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  322. Application of Shape Optimization Theory to Automobile Design

    Hideyuki Azegami, Masatoshi Shimoda, Hisashi Ihara

    1998 Annual Meeting of the Japan Society for Industrial and Applied Mathematics  

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    Event date: 1998.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  323. A Review of Shape Optimization Methods

    Hideyuki Azegami

    OPTIS 1998 

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    Event date: 1998.8

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  324. Solution of Shape Identification Problems for Diffusion Field

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matuura

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    Event date: 1998.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  325. How Useful are Optimization Theories ? Invited

    Hideyuki Azegami

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    Event date: 1998.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  326. Basic Theorems for Optimization of Vibration System

    Hideyuki Azegami

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    Event date: 1998.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  327. Basic Theorems for Optimization and their Application Techniques

    Hideyuki Azegami

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    Event date: 1998.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  328. How are Optimization Techniques used ? Invited

    Hideyuki Azegami, Toshikazu Torigaki

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    Event date: 1998.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  329. A Formulation of Shape Adaptation Phenomena in Living Body

    Hideyuki Azegami, Eiji Katamine

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    Event date: 1998.3 - 1998.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  330. A Solution of Shape Identification Problem on Unsteady Heat-Conduction Fields

    Eiji Katamine, Hideyuki Azegami, Yasuhiro Matuura

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    Event date: 1998.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  331. Numerical Simulation on the Etiology of Idiopathic Scoliosis International conference

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

    The Tenth International Conferences on Mechanics in Medicine and Biology (ICMMB-10) 

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    Event date: 1998.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  332. An Experiment with a Mechanical Model on the Etiology of Idiopathic Scoliosis

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1997.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  333. Development of Shape Optimization Method: Traction Method

    Masatoshi Shimoda, Hideyuki Azegami

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    Event date: 1997.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  334. Limitation of Shape Generation by Growth Rule Using Stress

    Hideyuki Azegami

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    Event date: 1997.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  335. Shape Optimization Analysis in Frequency Response Problems with Proportional Viscous Damping

    Zhiqiang Wu, Yuji Sogabe, Hideyuki Azegami

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    Event date: 1997.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  336. Irregularity of Shape Optimization Problems and an Improvement Technique International conference

    Hideyuki Azegami, Satoshi Kaizu, Masatoshi Shimoda, Eiji Katamine

    The Fifth International Conference on Computer Aided Optimum Design of Structures (OPTI 97) 

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    Event date: 1997.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Italy  

    Shape optimization problems of linear elastic bodies, flow fields, magnetic fields, etc. for equilibrium types can be generalized as optimization problems of domains in which elliptic boundary value problems are defined. This paper shows that ordinary domain optimization problems do not have sufficient regularity and proposes a technique to overcome this irregularity. It briefly describes the derivation of the shape gradient functions for a self-adjoint shape optimization problem, and shape identification problems of the Dirichlet type, Neumann type and subdomain gradient assigned type. Using these shape gradient functions, the irregularity of ordinary domain optimization problems is shown through a discussion of the ill-posedness that occurs when the gradient method in Hilbert space is applied directly. To overcome this irregularity, the idea of a smoothing gradient method in Hilbert space is proposed. It is conclusively shown that a numerical method based on this idea coincides with the traction method previously proposed by one of the authors and this conclusion is verified by numerical experiments.

  337. Irregularity of Shape Optimization Problems and an Improvement Technique International conference

    Hideyuki Azegami, Satoshi Kaizu, Masatoshi Shimoda, Eiji Katamine

    International Symposium on Optimization and Innovative Design, JSME Centennial Grand Congress 

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    Event date: 1997.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  338. Numerical Simulation on Etiology of Idiopathic Scoliosis: Study on Free Constraint Buckling Modes

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1997.3 - 1997.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  339. Identification Analyses of Wing Shape on Potential Flow Fields

    Eiji Katamine, Hideyuki Azegami, Syohtaroh Yamaguchi

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    Event date: 1997.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  340. History of Structural Optimization Theory and its Role in Total Design Invited

    Hideyuki Azegami

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    Event date: 1997.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  341. Numerical Simulation of Etiology of Idopathic Scoliosis: 3rd Report

    Hideyuki Azegami, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1996.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  342. Shape Optimization Based on Strength Criterion

    Hideyuki Azegami, Masatoshi Shimoda

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    Event date: 1996.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  343. Integrating Shape Optimization with Topology Optimization

    Hideyuki Azegami, Hisashi Ihara, Masatoshi Shimoda

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    Event date: 1996.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  344. Insufficiency of Regularity in Shape Optimization Problems and Its Recovering Method

    Hideyuki Azegami, Satoshi Kaizu, Masatoshi Shimoda, Eiji Katamine

    OPTIS 1996 

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    Event date: 1996.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  345. A Consideration on Domain Inverse Problems

    Hideyuki Azegami

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    Event date: 1996.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  346. Optimization Theory and Structural Design Invited

    Hideyuki Azegami

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    Event date: 1996.7

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  347. An Approach to Solving Shape Optimization Problems and its Application to Mechanical Design Invited International conference

    Hideyuki Azegami, Masatoshi Shimoda, Hisashi Ihara, Eiji Katamine, Zhiqiang Wu

    The 26th Congress of the International Federation of Automotive Engineering Societies (FISITA 96) 

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    Event date: 1996.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Czech Republic  

  348. Shape Identification Analyses of Potential Fields

    Eiji Katamine, Hideyuki Azegami, Soutarou Yamaguchi, Masami Kojima

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    Event date: 1996.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  349. Boundary Shape Design Based on Strength Criterion

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

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    Event date: 1996.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  350. Analysis of Linear Elastic Body Shapes Specified Distribution of Displacement

    Hideyuki Azegami, Masatoshi Shimoda, Yasuhiro Sugai

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    Event date: 1996.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  351. Regularity of Design Optimization Problems and its Impronement Technique

    Hideyuki Azegami, Satoshi Kaizu, Masatoshi Shimoda, Eiji Katamine

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    Event date: 1996.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  352. Numerical Analysis Method for Controlling Deformation Mode Using Topology-Shape Optimization Technique

    Hisashi Ihara, Masatoshi Shimoda, Toshiaki Sakurai, Hideyuki Azegami

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    Event date: 1996.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  353. Weight Reduction of Automotive Part Using Shape Optimization Technique Considering Topology

    Hisashi Ihara, Masatoshi Shimoda, Toshiaki Sakurai, Hideyuki Azegami

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    Event date: 1996.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  354. Domain Optimization Analysis of Steady-State Heat Conduction Field: Temperature Prescribed Problem

    Eiji Katamine, Hideyuki Azegami, Masami Kojima, Syohtaroh Yamaguchi

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    Event date: 1996.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  355. Regularity of Domain Optimization Problems and Its Improvement Technique

    Hideyuki Azegami, Satoshi Kaizu, Akiyasu Takami, Masatoshi Shimoda

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    Event date: 1996.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  356. Numerical Simulation of Etiology of Idopathic Scoliosis: Study Using Thoracic Cage Model

    Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino, Hideyuki Azegami, Hidekazu Hayashi, Yoshiaki Maekubo

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    Event date: 1995.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  357. Domain Optimization Analysis of Linear Elastic Continua in Vibration Problems International conference

    Zhiqiang Wu, Hideyuki Azegami, Yuji Sogabe, Yutaka Arimitsu

    The Second China-Japan Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 1995.10 - 1995.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  358. Integrated Topology and Shape Optimization for Structural Design Using a General-Purpose FEM Code International conference

    Hisashi Ihara, Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

    The Second China-Japan Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 1995.10 - 1995.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  359. A Smooth Shape Optimization Technique for Continua and Flow Fields International conference

    Hideyuki Azegami, Masatoshi Shimoda, Eiji Katamine

    The Second China-Japan Symposium on Optimization of Structural and Mechanical Systems 

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    Event date: 1995.10 - 1995.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  360. A Domain Optimization Technique for Elliptic Boundary Value Problems International conference

    Hideyuki Azegami, Masatoshi Shimoda, Eiji Katamine, Zhiqiang Wu

    The Fourth International Conference on Computer Aided Optimum Design of Structures (OPTI 95) 

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    Event date: 1995.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

    A numerical analysis technique is presented for solving optimization problems of geometrical domains in which elliptic boundary value problems are defined. Domain variation is formulated with a one-to-one mapping and its infinitesimal variation with a speed field as advocated by Zolesio. The sensitivity functions, which we call the shape gradient functions, of domain variation are derived using the Lagrange multiplier method or the adjoint method. By applying the gradient method in functional space with the shape gradient functions, we propose to analyze an optimal speed field as a displacement of a pseudo-elastic problem that is defined on the design domain and loaded with pseudo-distributed external force, or traction, in proportion to the shape gradient function. This technique is called the traction method because of the procedure used. Numerical results for several linear elastic problems and flow field problems are given.

  361. Integrated Topology and Shape Optimization for Structural Design Using a General-Purpose FEM Code

    Hisashi Ihara, Masatoshi Shimoda, Toshiaki Sakurai, Hideyuki Azegami

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    Event date: 1995.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  362. Domain Optimization Analysis of Potential Flow Field Using a General Purpose FEM Code

    Eiji Katamine, Hideyuki Azegami, Shinji Takekawa, Syohtaroh Yamaguchi

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    Event date: 1995.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  363. A Consideration on Optimization of Vibrating Bodies

    Hideyuki Azegami

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    Event date: 1995.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  364. Domain Optimization Analyses of Flow Fields International conference

    Eiji Katamine, Hideyuki Azegami

    The International Conference on Computational Engineering Science 

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    Event date: 1995.7 - 1995.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  365. Domain Optimization Analysis of Continua International conference

    Hideyuki Azegami, Masatoshi Shimoda, Zhiqiang Wu

    The International Conference on Computational Engineering Science (ICES95) 

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    Event date: 1995.7 - 1995.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  366. Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions: A Traction Method Approach to Minimum Volume Design International conference

    Masatoshi Shimoda, Toshiaki Sakurai, Hideyuki Azegami

    The 1995 ASME Pressure Vessels and Piping Conference, JSME Co-Sponsorship 

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    Event date: 1995.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  367. Topology Optimization Analysis of Using General Purpose FEM Code

    Hideyuki Azegami, Hiroyuki Ishihara

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    Event date: 1995.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  368. Numerical Simulation of Etiology of Idopathic Scoliosis: Study Using Thoracic Cage Model

    Hideyuki Azegami, Hidekazu Hayashi, Shunji Murachi, Junzoh Kitoh, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1995.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  369. Domain Optimization Analysis of Linear Elastic Continua in Vibration Problems

    Zhiqiang Wu, Yuji Sogabe, Hideyuki Azegami

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    Event date: 1995.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  370. A Traction Method Approach to Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions International conference

    Masatoshi Shimoda, Toshiaki Sakurai, Hideyuki Azegami

    The Ninth International Conference on Vehicle Structural Mechanics and CAE, SAE 

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    Event date: 1995.4

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  371. Recent Topics on Optimization Techniques

    Hideyuki Azegami

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    Event date: 1995.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  372. Domain Optimization Analysis in Linear Elastic Problems by Boundary Element Method

    Katsutoshi Tamaki, Hideyuki Azegami

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    Event date: 1995.1 - 1995.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  373. Optimization Technique for Shape and Topology of Mechanical Structures

    Hideyuki Azegami

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    Event date: 1995.1 - 1995.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  374. Numerical Simulation on Etiology of Idiopathic Scoliosis

    Hideyuki Azegami, Takayuki Suzuki, Shunji Murachi, Yoshito Ishida, Noriaki Kawakami, Mitsunori Makino

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    Event date: 1995.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  375. Numerical Simulation of Etiology of Idopathic Scoliosis: Part 2

    Shunji Murachi, Yoshito Ishida, Noriaki Kawakami, Hideyuki Azegami, Takayuki Suzuki, Mitsunori Makino, Katsuhiro Hujioka, Kazuhiko Arao, Kohji Kitoh

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    Event date: 1994.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  376. Numerical Simulation of Etiology of Idopathic Scoliosis: Part 1

    Shunji Murachi, Yoshito Ishida, Noriaki Kawakami, Hideyuki Azegami, Takayuki Suzuki, Mitsunori Makino, Katsuhiro Hujioka, Kazuhiko Arao, Kohji Kitoh

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    Event date: 1994.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  377. Domain Optimization Analysis of Potential Flow Field

    Eiji Katamine, Hideyuki Azegami

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    Event date: 1994.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  378. Domain Optimization Analysis in Vibration Problems: Approach Using Traction Method

    Zhi Chang Wu, Hideyuki Azegami, Masatoshi Shimoda, Toshiaki Sakurai

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    Event date: 1994.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  379. Domain Optimization Analysis in Linear Elastic Problems by Boundary Element Method: Approach Using Traction Method

    Katsutoshi Tamaki, Hideyuki Azegami

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    Event date: 1994.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  380. Multi-Objective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

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    Event date: 1994.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  381. A Solution to Domain Optimization Problems

    Hideyuki Azegami, Zhi Chang Wu, Masatoshi Shimoda

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    Event date: 1994.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  382. Domain Optimization Analysis of Flow Field

    Eiji Katamine, Hideyuki Azegami

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    Event date: 1994.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  383. Numerical Solution of Domain Optimization Problems Using a General Purpose FEM Code

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai

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    Event date: 1993.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  384. Boundary Optimization Analysis of Flow Field. In the Case of Stokes Flow

    Eiji Katamine, Akiyoshi Okitsu, Hideyuki Azegami

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    Event date: 1993.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  385. Domain Optimization Theory and Its Application to Optimum Structural Design Invited

    Hideyuki Azegami

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    Event date: 1993.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  386. Boundary Optimization Problems and Solution

    Hideyuki Azegami

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    Event date: 1993.3 - 1993.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  387. Optimization of Continuum Shapes Invited

    Hideyuki Azegami

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    Event date: 1993.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  388. Shape Optimization Analysis of Flow Field by the Growth-Strain Method International conference

    Eiji Katamine, Hideyuki Azegami

    The International Conference on Computational Engineering Science 

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    Event date: 1992.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Hong Kong  

  389. Shape Optimization of Solid Structures Using the Growth-Strain Method: Application to Chassis Components International conference

    Masatoshi Shimoda, Hideyuki Azegami, Toshiaki Sakurai, Yusuke Kondo

    The Eighth International Conference on Vehicle Structural Mechanics and CAE, SAE 

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    Event date: 1992.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  390. Shape Optimization of Solid Structures Using the Growth-Strain Method

    Masatoshi Shimoda, Toshiaki Sakurai, Yusuke Kondo, Hideyuki Azegami

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    Event date: 1992.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  391. Shape Optimization Analysis in Vibration Problems: Approach by the Growth-Strain Method

    Zhi Chang Wu, Akiyasu Takami, Hideyuki Azegami

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    Event date: 1991.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  392. Shape Optimization Analysis of Channel: Approach by the Growth-Strain Method

    Eiji Katamine, Akiyoshi Okitsu, Hideyuki Azegami, Katsuya OOyama

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    Event date: 1991.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  393. Improvement of the Growth Law in the Growth Strain Method

    Zhi Chang Wu, Akiyasu Takami, Masatoshi Shimoda, Hideyuki Azegami

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    Event date: 1991.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  394. Shape Analysis for Stiffness Maximization by the Growth-Strain Method International conference

    Hideyuki Azegami, Akiyoshi Okitsu, Akiyasu Takami

    The International Conference on Computational Engineering Science (ICES91) 

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    Event date: 1991.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  395. Vibration Modal Analysis

    Hideyuki Azegami

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    Event date: 1990.12 - 1996.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  396. Optimization Analysis of 3D Shapes by the Growth Strain Method: Proposal of a Generation Law of Bulk Strain with Degrees of Freedom on Principal Stress Coordinates

    Akiyasu Takami, Akiyoshi Okitsu, Hideyuki Azegami

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    Event date: 1990.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  397. Growth Strain Method for Shape Optimization

    Hideyuki Azegami

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    Event date: 1990.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  398. Optimization Ananysis of 3D Shapes by the Growth Strain Method Using a General Purpose FEM Program

    Takeshi Kayanoki, Hideyuki Azegami, Akiyoshi Okitsu, Toshiro Abe, Asao Shimamori

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    Event date: 1990.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  399. Optimization of Finite Element Mesh by the Growth Strain Method

    Akira Kida, Hideyuki Azegami, Akiyoshi Okitsu

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    Event date: 1990.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  400. Shape Analysis Wire Cross-Section of Helical Spring by the Growth-Strain Method

    Eiji Katamine, Hideyuki Azegami, Akiyoshi Okitsu, Toshiyuki Imaizumi

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    Event date: 1990.3 - 1990.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  401. The Growth-Strain Method Based on the Inverse Variational Principle

    Hideyuki Azegami

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    Event date: 1989.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  402. Analysis of Uniform-Strength Shape by the Growth-Strain Method: Application to the Problem of Steady-State Vibration

    Hideyuki Azegami, Tadashi Ogihara, Akiyasu Takami

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    Event date: 1989.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  403. Variance Evaluation and Optimization of Modal Parameters and an Application to an Outboard Motor International conference

    Hidetaka Kobayashi, Hideyuki Azegami, Akiyoshi Okitsu

    Small Engine Technology Conference, SAE 

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    Event date: 1989.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  404. An Adaptive Growth Method for Shape Refinement International conference

    Hideyuki Azegami, Akiyoshi Okitsu, Tadashi Ogihara, Akiyasu Takami

    The 1989 ASME Pressure Vessels and Piping Conference, JSME Co-Sponsorship 

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    Event date: 1989.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  405. Fracture Resistance by CED (Crack Energy Density) of Stably Growing Crack under Plane Strain Condition International conference

    O Heon Kwon, Hideyuki Azegami, Katsuhiko Watanabe

    The 3rd Conference of Asian Pacific Congress on Strength Evaluation (APCS-89) 

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    Event date: 1989.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  406. Proposal for a Shape Optimization Method Using a Construction Rule of Growth: Dynamic Elastic Body

    Tadashi Ogihara, Hideyuki Azegami, Akiyoshi Okitsu

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    Event date: 1988.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  407. Variance Evaluation of Modal Parameters Identified by Experimental Modal Analysis and Optimization of Accuracy of the Modal Parameters Based on the Variances

    Hideyuki Azegami, Akiyoshi Okitsu, Eiichi Noda, Hidetaka Kobayashi

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    Event date: 1988.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  408. A proposal of Identification Method of Modal Parameters by Using an Exponential Window

    Hideyuki Azegami, Akiyoshi Okitsu, Kazuyuki Bizen

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    Event date: 1988.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  409. A Shape Optimization Method by an Adaptive Growth Analysis

    Hideyuki Azegami, Akiyoshi Okitsu, Akiyasu Takami

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    Event date: 1988.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  410. Shape Optimization Method by Using Constitutive Equation of Growth

    Hideyuki Azegami, Akiyoshi Okitsu, Akiyasu Takami

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    Event date: 1988.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  411. Proposal of the Shape Optimization Method Using the Configuration Law of Growth: A Case of Static Elastic Bodies

    Hideyuki Azegami, Akiyasu Takami

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    Event date: 1988.3 - 1988.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  412. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 5th Report, Comparison with the Fracture Resistance Evaluated by CTOD and CTOA

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

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    Event date: 1986.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  413. Study on Crack Parameters to Express Stable Crack Growth Behavior of Thin Plate International conference

    Hideyuki Azegami, Katsuhiko Watanabe

    The 2nd Conference of Asian-Pacific Congress on Strength Evaluation (APCS-86) 

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    Event date: 1986.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  414. Analyses of Elastic-Plastic and Creep Crack Parameters by the Crack Model Considering the Discontinuity in the Cracked Plane International conference

    Katsuhiko Watanabe, Hideyuki Azegami, Yutaka Sato

    The International Conference on Computational Mechanics 

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    Event date: 1986.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  415. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 3rd Report, Effect of Sheet Thickness on Fracture Resistance of Ductile Crack in Thin Plate

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

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    Event date: 1986.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  416. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 4th Report, Comparison with the Fracture Resistance Evaluated by J-Integral

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

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    Event date: 1986.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  417. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 1st Report, Derivation of Fundamental Relations and Proposal of Evaluation Method

    Katsuhiko Watanabe, Hideyuki Azegami

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    Event date: 1985.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  418. An Evaluation of the Fracture Resistance of a Stably Growing Crack by Crack Energy Density: 2nd Report, Application to a Ductile Crack in Thin Plate

    Katsuhiko Watanabe, Hideyuki Azegami, Yasuo Hirano

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    Event date: 1985.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  419. Proposal of New Stability-Instability Criterion for Crack Extension Based on Crack Energy Density and Physical Systematization of Other Criteria

    Katsuhiko Watanabe, Hideyuki Azegami

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    Event date: 1982.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  420. On Physical Meaning of TJ Criterion from Point of View of Crack Energy Density

    Katsuhiko Watanabe, Hideyuki Azegami

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    Event date: 1982.3 - 1982.4

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  421. Proposal of New Stability-Instability Criterion for Crack Extension Based on Crack Energy Density and Some Consideration

    Katsuhiko Watanabe, Hideyuki Azegami

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    Event date: 1981.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

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Research Project for Joint Research, Competitive Funding, etc. 14

  1. Study on shape optimization of sports shoes

    2017.12 - 2018.12

    Cooperative Research within Japan 

    Mai Nonogawa

  2. 産業活用に向けた形状最適化理論の応用

    2017.5 - 2018.3

    国内共同研究 

    佐竹正義,大塚秀樹

  3. 医用画像データに基づく嚥下の物理シミュレーション法の開発

    2016.4 - 2018.3

    国内共同研究 

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    嚥下のバイオメカニクス解明のための生体器官の逆運動解析法および形状最適化法を開発する.

  4. Development of shape optimization function in parallel computer environment

    2014.4

    Cooperative Research within Japan 

  5. 電磁気分野への形状最適化理論の応用

    2012.10 - 2017.3

    学内共同研究 

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    名古屋大学大学院情報科学研究科複雑系科学専攻の畔上教授と共同し、電磁気分野での形状最適化理論の研究・開発を行う。株式会社日本自動車部品総合研究所で開発している電子デバイスを最適化対象の題材として用い、畔上教授が研究されている形状最適化の理論を適用し、計算方法を開発し、性能を最大化する形状を導出する。

  6. 操舵時の上腕挙動シミュレーションのためのアルゴリズム開発

    2012.6 - 2013.3

    国内共同研究 

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    車両操安定性の評価および設計を可能とする計算機シミュレーションシステムの要素技術開発として,本共同研究ではヒトのセンサ-アクチュエータ特性を考慮したドライバモデルの構築を行う.実施内容は,名古屋大学畔上研究室と共同で,与えられた操舵動作を実現できる上肢筋張力の算出アルゴリズムの提案および検証を行う.ドライバの操舵動作の自由度に対して筋張力の自由度が高い不良設定問題となるため,筋走行より決定される制約条件下のもと評価関数を最小とする解より筋張力を求める.さらに筋電位データとの比較検証によって,ヒトの身体制御を再現可能な評価関数を提案する.

  7. Shape optimization of structural parts considering casting conditions

    2009.10 - 2010.3

    Cooperative Research within Japan 

  8. Feasibility study of shape optimization theory for design and manufacturing of acoustic musical instruments

    2008.8 - 2009.3

    Cooperative Research within Japan 

  9. Shape optimization considering material and geometrical nonlinearity

    2008.6 - 2008.12

    Cooperative Research within Japan 

  10. Study on Shape Optimization Technique for Acoustic-Structure Interaction Problems

    2005.9 - 2006.3

    Cooperative Research within Japan 

  11. Study on Structural Ooptimization Ttechnique for Acoustic-Structure Interaction Problems

    2005.7 - 2006.2

    Cooperative Research within Japan 

  12. 設計用大規模計算力学システム開発プロジェクト

    1999.4 - 2002.3

    未来開拓推進事業 

    吉村忍

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    Grant type:Competitive

  13. Investigation on Mechanical Etiology of Scoliosis

    1994.4 - 1995.3

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    Grant type:Competitive

  14. Development of Optimum Shape Analysis System Using Growth-Strain Method

    1989.4 - 1991.3

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    Grant type:Competitive

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KAKENHI (Grants-in-Aid for Scientific Research) 13

  1. Development of optimal design for 'living' continuous body vibration with phase reduction method

    Grant number:18H03205  2018.4 - 2022.3

    Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(B)

    Akihisa Tanaka

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    Authorship:Coinvestigator(s) 

  2. Deepening and applications of shape optimization theories

    Grant number:17K05140  2017.4 - 2022.3

    Japan Society for the Promotion of Science  Grant-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research(C)

    Hideyuki Azegami

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

  3. 連続体における特異点集合の形状最適化問題の理論と応用

    2016.4 - 2019.3

    科学研究費補助金  基盤研究(C)

    大塚厚二

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    Authorship:Coinvestigator(s) 

  4. 特異性を持つ形状最適設計問題及び破壊での変分理論構築と工学への応用に関する研究

    2011.4 - 2014.3

    科学研究費補助金  基盤研究(C)

    大塚厚二

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    Authorship:Coinvestigator(s) 

  5. 楕円型境界値問題が定義された領域の形状および位相最適化問題の正則化解法

    2008.6 - 2014.3

    科学研究費補助金  基盤研究(C),課題番号:20540113

    畔上 秀幸

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    Authorship:Principal investigator 

    楕円型偏微分方程式の境界値問題が定義された領域の形状最適化問題は,その領域で定義された境界値問題の解関数で構成される汎関数を目的及び制約関数と定めて,制約条件の下で目的関数が最小となる領域の形状あるいは位相を見つける問題として構成される.これらの問題は,連続体や流れ場,音場などの現象を所望の現象に近づけるように場の形状や位相を決定する問題,あるいは計測データと理論解の誤差が最小となるように場の形状や位相を決定する逆問題を一般化した問題として捉えることができる.これらの問題は産業界の設計問題などへの応用が期待される.本研究では,この問題に対する正則性が保障された解法を示すことを目的とする.

  6. 特異性を持つ連続体力学の数理研究

    2007.4 - 2010.3

    科学研究費補助金  基盤研究(B)

    大塚厚二

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    Authorship:Coinvestigator(s) 

  7. Study and Development of Calculation Algorithms on Interaction System Including Fluid

    2002.4 - 2005.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Coinvestigator(s) 

  8. Development of Treatment with Respect to Idiopathic Scoliosis

    2000.4 - 2004.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

  9. Etiology Study on Idiopathic Scoliosis

    1996.4 - 1998.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

  10. Verification of Domain Optimization Theory

    1994.4 - 1997.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

  11. Verification of Shape Implovement Technique by Adaptive Growth Analysis

    1989.4 - 1990.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

  12. Verification of Evaluation Method with Respect to Stably Growing Crack by Crack Energy Density

    1987.4 - 1988.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

  13. Study on Stability Evaluation Method of Cracked Thin Plates

    1986.4 - 1987.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

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Industrial property rights 2

  1. Cylindrical spring

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    Application no:特願 2005-167585  Date applied:2005.6

    Patent/Registration no:4525920  Date registered:2010.6 

    Country of applicant:Domestic  

  2. Domain shape optimization method

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    Application no:PCT/JP02/08334  Date applied:2002.8

    Announcement no:WO2003/017147 

    Patent/Registration no:3946699  Date registered:2007.4 

    Country of applicant:Foreign country  

 

Teaching Experience (Off-campus) 13

  1. シミュレーション工学特論

    2009.4 - 2010.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  2. 計算力学特論

    2009.4 - 2010.3 名城大学 理工学研究科 交通科学専攻)

  3. シミュレーション工学特論

    2008.4 - 2009.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  4. 数理科学特論5 / 数理科学特別講義

    2008.4 - 2009.3 九州大学 理学部数学科 / 数理学府 数理学専攻)

  5. 計算力学特論

    2008.4 - 2009.3 名城大学 理工学研究科 交通科学専攻)

  6. シミュレーション工学特論

    2007.4 - 2008.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  7. 最適形状設計

    2006.4 - 2007.3 愛媛大学 理工学研究科 生産環境工学専攻)

  8. シミュレーション工学特論

    2006.4 - 2007.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  9. 数値解析

    2005.4 - 2006.3 豊田工業大学 工学部 先端工学基礎学科)

  10. シミュレーション工学特論

    2005.4 - 2006.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  11. シミュレーション工学特論

    2004.4 - 2005.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

  12. 数値解析

    2004.4 - 2005.3 豊田工業大学 工学部 先端工学基礎学科)

  13. シミュレーション工学特論

    2003.4 - 2004.3 名古屋市立大学 芸術工学研究科 芸術工学専攻)

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