A level set method for structural topology optimization with multi-constraints and multi-materials
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论文类型：期刊论文
发表时间：2021-03-23
发表刊物：ACTA MECHANICA SINICA
卷号：20
期号：5
页面范围：507-518
ISSN号：0567-7718
关键字：level set method; topology optimization; multi-constraints; multi-materials; mean curvature flow
摘要：Combining the vector level set model, the shape sensitivity analysis theory with the gradient projection technique, a level set method for topology optimization with multi-constraints and multi-materials is presented in this paper. The method implicitly describes structural material interfaces by the vector level set and achieves the optimal shape and topology through the continuous evolution of the material interfaces in the structure. In order to increase computational efficiency for a fast convergence, an appropriate nonlinear speed mapping is established in the tangential space of the active constraints. Meanwhile, in order to overcome the numerical instability of general topology optimization problems, the regularization with the mean curvature flow is utilized to maintain the interface smoothness during the optimization process. The numerical examples demonstrate that the approach possesses a good flexibility in handling topological changes and gives an interface representation in a high fidelity, compared with other methods based on explicit boundary variations in the literature.
发表时间：2021-03-23