材料非線形性を考慮した形状最適化問題の解法

概要

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This paper presents a numerical solution to boundary shape optimization problems taking into account material non-linearity. The goal aimed in this paper is to minimize external work by varying a boundary shape under a volume constraint. Shape variation is described by using a one-parameter family of mappings defined in a domain where a continuum lies initially. 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. The varidity of proposed method is verified by applying basic numerical examples and by comparing with results considering only linearity.
一般社団法人日本機械学会の論文
2000-06-25