On the problem of optimal cutting

被引：6

作者：

Bucur, D

Buttazzo, G

Varchon, N

机构：

[1] Univ Franche Comte, CNRS, Dept Math, F-25030 Besancon, France

[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

SIAM JOURNAL ON OPTIMIZATION | 2002年 / 13卷 / 01期

关键词：

optimal cut; membrane; variation of a crack;

D O I：

10.1137/S1052623401387118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of an optimal cutting in a membrane satisfying the following assumption: it has to connect two given points in order to leave the membrane the strongest possible. We prove the existence of a solution for this problem in a rather general setting, and we present some open questions related to the regularity of the optimum or to possible extensions for plates in the elasticity framework.

引用

页码：157 / 167

页数：11

共 21 条

[1] Shape optimization by the homogenization method [J].