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.
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页数：39
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