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

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概要

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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.

• 一般社団法人 日本応用数理学会の論文

著者

• Azegami Hideyuki

  Nagoya University

• Ohtsuka Kohji

  Hiroshima Kokusai Gakuin University

• Kimura Masato

  Kanazawa University

関連論文

• Construction method of the cost function for the minimax shape optimization problem
• Shape derivative of cost function for singular point: Evaluation by the generalized J integral

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