A CRITICAL REVISITING OF FINITE ELASTO-PLASTICITY

被引：17
|
作者：
Davoli, Elisa [1 ]
Francfort, Gilles A. [2 ,3 ]
机构：
[1] Carnegie Mellon Univ, Ctr Nonlinear Anal, Dept Math, Pittsburgh, PA 15213 USA
[2] Univ Paris 13, LAGA, F-93430 Villetaneuse, France
[3] Inst Univ France, F-93430 Villetaneuse, France
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2015年 / 47卷 / 01期
基金：
美国国家科学基金会;
关键词：
finite strain elasto-plasticity; quasi-static evolution; rate-independent processes; RATE-INDEPENDENT SYSTEMS; QUASI-STATIC EVOLUTION; ONE SLIP SYSTEM; BRITTLE-FRACTURE; NONLINEAR ELASTICITY; CRYSTAL PLASTICITY; DAMAGE EVOLUTION; EXISTENCE; GROWTH; MODELS;
D O I：
10.1137/140965090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a new evolution model for large strain elasto-plasticity. In a quasi-static setting, the suggested model can be formulated as a variational evolution. We establish the existence of a closely related evolution in a regularized context. We then discuss how the proposed model performs in both a rigid-plastic and a one-dimensional setting and compare the results with those that could be achieved using other formulations.
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页码：526 / 565
页数：40
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