Stress-constrained topology optimization: a topological level-set approach

被引：51
|
作者：
Suresh, Krishnan [1 ]
Takalloozadeh, Meisam [2 ]
机构：
[1] Univ Wisconsin, Madison, WI 53706 USA
[2] Sharif Univ Technol, Tehran, Iran
来源：
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2013年 / 48卷 / 02期
关键词：
Topology optimization; Stress; Level set; CONTINUUM STRUCTURES; SENSITIVITY-ANALYSIS; SHAPE; CODE;
D O I：
10.1007/s00158-013-0899-4
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The objective of this paper is to introduce and demonstrate an algorithm for stress-constrained topology optimization. The algorithm relies on tracking a level-set defined via the topological derivative. The primary advantages of the proposed method are: (1) the stresses are well-defined at all points within the evolving topology, (2) the finite-element stiffness matrices are well-conditioned, making the analysis robust and efficient, (3) the level-set is tracked through a simple iterative process, and (4) the stress constraint is precisely satisfied at termination. The proposed algorithm is illustrated through numerical experiments in 2D and 3D.
引用
收藏
页码：295 / 309
页数：15
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