期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 199, 期 45-48, 页码 2876-2891出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.05.013
关键词
Topology optimization; Finite element method; Level set method; Phase field method; Tikhonov regularization method
资金
- JSPS Scientific Research [19560142]
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. (C) 2010 Elsevier B.V. All rights reserved.
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