A density result in two-dimensional linearized elasticity, and applications

被引：91

作者：

Chambolle, A ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2003年 / 167卷 / 03期

关键词：

D O I：

10.1007/s00205-002-0240-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that in a two-dimensional bounded open set whose complement has a finite number of connected components, the vector fields u is an element of H(1)(Omega; R(2)) are dense in the space of fields whose symmetrized gradient e(u) is in L(2)(Omega; R(4)). This allows us to show the continuity of some linearized elasticity problems with respect to variations of the set, with applications to shape optimization or the study of crack evolution.

引用

页码：211 / 233

页数：23

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