CHECKERBOARD PATTERNS IN LAYOUT OPTIMIZATION

被引：491

作者：

Diaz, A

Sigmund, O

机构：

[1] Department of Mechanical Engineering, Michigan State University, East Lansing, 48824, MI

[2] Department of Solid Mechanics, Technical University of Denmark, Lyngby

来源：

STRUCTURAL OPTIMIZATION | 1995年 / 10卷 / 01期

关键词：

Approximation theory - Constraint theory - Finite element method - Kinematics - Optimization - Stiffness;

D O I：

10.1007/BF01743693

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Effective properties of arrangements of strong and weak materials in a. checkerboard fashion are computed. Kinematic constraints are imposed so that the displacements are consistent with typical finite element approximations. It is shown that when four-node quatrilateral elements are involved, these constraints result in a numerically induced, artificially high stiffness. This can account for the formation of checkerboard patterns in continuous layout optimization problems of compliance minimization.

引用

页码：40 / 45

页数：6

共 16 条

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