Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case

被引：28

作者：

Dal Maso, Gianni ^{[1
]}

Orlando, Gianluca ^{[1
]}

Toader, Rodica ^{[2
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Udine, DIMA, Via Sci 206, I-33100 Udine, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 03期

基金：

欧洲研究理事会;

关键词：

VARIATIONAL APPROXIMATION; FUNCTIONALS; ENERGIES;

D O I：

10.1007/s00526-016-0981-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter epsilon, which forces damage concentration on regions of codimension one. We determine the Gamma-limit as epsilon tends to zero and show that it contains an energy term involving the crack opening.

引用

页数：39

共 27 条

[1] Phase transition with the line-tension effect [J].