A discontinuous Galerkin level set method using distributed shape gradient and topological derivatives for multi-material structural topology optimization

被引：7
作者：
Tan, Yixin [1 ,2 ]
Zhu, Shengfeng [1 ,2 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, Shanghai 200241, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2023年 / 66卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Topology optimization; Multi-material; Level set method; Discontinuous Galerkin; Finite-element method; Topological derivative; Distributed shape gradient; DESIGN; SENSITIVITY;
D O I：
10.1007/s00158-023-03617-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A new level set method is developed for multi-material structural topology optimization. The method features in using the discontinuous Galerkin finite-element method for discretization of the level set transport equation and the distributed shape gradient. Moreover, the topological derivative is incorporated into the present algorithm as a possible way to escape from local minima through creating holes during optimization. Numerical examples are provided to verify effectiveness of the numerical algorithm.
引用
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页数：20
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