The topological asymptotic for PDE systems: The elasticity case

被引：331

作者：

Garreau, S

Guillaume, P

Masmoudi, M

机构：

[1] CADOE SA, Novacite Alpha, F-69603 Villeurbanne, France

[2] Inst Natl Sci Appl, Dept Gen Math, F-31077 Toulouse 4, France

[3] CNRS, UMR 5640, F-31077 Toulouse 4, France

[4] Univ Toulouse 3, UMR MIG, F-31062 Toulouse, France

[5] CNRS, UMR 5640 MIP, F-31062 Toulouse, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 39卷 / 06期

关键词：

topological sensitivity; topological derivative; shape optimization; design sensitivity; elasticity; compliance;

D O I：

10.1137/S0363012900369538

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole. In this paper, such an expansion is obtained and analyzed in the context of linear elasticity for general functionals and arbitrary shaped holes by using an adaptation of the adjoint method and a domain truncation technique. The method is general and can be easily adapted to other linear PDEs and other types of boundary conditions.

引用

页码：1756 / 1778

页数：23

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