On the topological derivative in shape optimization

被引：683

作者：

Sokolowski, J

Zochowski, A

机构：

[1] Univ Nancy 1, Inst Elie Cartan, Math Lab, F-54506 Vandoeuvre Nancy, France

[2] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1999年 / 37卷 / 04期

关键词：

shape optimization; shape derivative; elasticity system; topological derivative; asymptotic expansion;

D O I：

10.1137/S0363012997323230

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper the topological derivative for an arbitrary shape functional is defined. Examples are provided for elliptic equations and the elasticity system in the plane. The topological derivative can be used for solving shape optimization problems in structural mechanics.

引用

页码：1251 / 1272

页数：22