A topology optimization method based on the level set method incorporating a fictitious interface energy

Takayuki Yamada*, Kazuhiro Izui, Shinji Nishiwaki, Akihiro Takezawa

*この研究の対応する著者

研究成果: Article査読

422 被引用数 (Scopus)

抄録

This paper proposes a new topology optimization method, which can adjust the geometrical complexity of optimal configurations, using the level set method and incorporating a fictitious interface energy derived from the phase field method. First, a topology optimization problem is formulated based on the level set method, and the method of regularizing the optimization problem by introducing fictitious interface energy is explained. Next, the reaction-diffusion equation that updates the level set function is derived and an optimization algorithm is then constructed, which uses the finite element method to solve the equilibrium equations and the reaction-diffusion equation when updating the level set function. Finally, several optimum design examples are shown to confirm the validity and utility of the proposed topology optimization method.

本文言語English
ページ(範囲)2876-2891
ページ数16
ジャーナルComputer Methods in Applied Mechanics and Engineering
199
45-48
DOI
出版ステータスPublished - 2010 11月 15
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

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