Analysis of a thermo-viscoplastic model with Lipschitz continuous constitutive equations

被引：7

作者：

Bartczak, Leszek ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 17期

关键词：

continuum mechanics; visco-plasticity; heat conduction; thermomechanics in visco-plasticity; BODNER-PARTOM;

D O I：

10.1002/mma.2999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a thermo-mechanical model, where the mechanical inelastic model with a Lipschitz-continuous constitutive relation for the plastic strain is coupled with a heat equation. The main results are the local-in-time existence and uniqueness of the solution to the considered model and the existence of the solution for an arbitrarily long time interval for the sufficiently small given data. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2597 / 2614

页数：18

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[1] A GENERAL CHAIN RULE FOR DISTRIBUTIONAL DERIVATIVES [J].