Shape optimization of periodic structures

被引：26
|
作者：
Barbarosie, C [1 ]
机构：
[1] CMAF, P-1649003 Lisbon, Portugal
来源：
COMPUTATIONAL MECHANICS | 2003年 / 30卷 / 03期
关键词：
inverse homogenization; shape optimization; periodic structures; effective coefficients; finite element; mesh regeneration;
D O I：
10.1007/s00466-002-0382-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper describes a numerical approach to the optimization of effective properties of periodic perforations in an infinite body, in the frameworks of heat conduction and of linear elasticity. We implement a special finite element mesh in order to deal with the periodic nature of the problem. We compute the gradient of the functional to be minimized. We describe the process of mesh deformation and mesh regeneration. We give several numerical examples, some of them having practical relevance.
引用
收藏
页码：235 / 246
页数：12
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