The phase-field method in optimal design

被引：0

作者：

Bourdin, Blaise ^{[1
]}

Chambolle, Antonin ^{[2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Ecole Polytech, CNRS, CMAP, UMR 7641, F-91128 Palaiseau, France

来源：

IUTAM SYMPOSIUM ON TOPOLOGICAL DESIGN OPTIMIZATION OF STRUCTURES, MACHINES AND MATERIALS: STATUS AND PERSPECTIVES | 2006年 / 137卷

关键词：

phase-field; multi-physics optimal design; perimeter penalization;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Gamma-convergence. It uses a smooth function, the phase-field, to represent all materials involved. We describe our approach, and detail its application to two problems.

引用

页码：207 / +

页数：3

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