Strain gradient visco-plasticity with dislocation densities contributing to the energy

被引：7

作者：

Roeger, Matthias ^{[1
]}

Schweizer, Ben ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fak Math, Vogelpothsweg 87, D-44227 Dortmund, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2017年 / 27卷 / 14期

关键词：

Visco-plasticity; strain gradient plasticity; energetic solution; div-curl lemma; QUASI-STATIC EVOLUTION; SINGLE-CRYSTALS; ELASTOPLASTICITY; EXISTENCE;

D O I：

10.1142/S0218202517500531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the energetic description of a visco-plastic evolution and derive an existence result. The energies are convex, but not necessarily quadratic. Our model is a strain gradient model in which the curl of the plastic strain contributes to the energy. Our existence results are based on a time-discretization, the limit procedure relies on Helmholtz decompositions and compensated compactness.

引用

页码：2595 / 2629

页数：35

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