Bifurcation and stability issues in gradient theories with softening

被引：63
|
作者：
Benallal, A.
Marigo, J-J
机构：
[1] LMT Cachan, F-94235 Cachan, France
[2] Univ Paris 06, Modelisat Mecan Lab, UMR 7607, F-75252 Paris 05, France
来源：
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING | 2007年 / 15卷 / 01期
关键词：
D O I：
10.1088/0965-0393/15/1/S22
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A bifurcation and stability analysis is carried out here for a bar made of a material obeying a gradient damage model with softening. We show that the associated initial boundary-value problem is ill posed and one should expect mesh sensitivity in numerical solutions. However, in contrast to what happens for the underlying local damage model, the damage localization zone has a finite thickness and stability arguments can help in the selection of solutions.
引用
收藏
页码：S283 / S295
页数：13
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