Dynamic nonsmooth frictional contact problems with damage in thermoviscoelasticity

被引：12
|
作者：
Szafraniec, Pawel [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2016年 / 21卷 / 05期
关键词：
Dynamic contact; thermoviscoelastic; evolution hemivariational inequality; Clarke subdifferential; nonconvex; hyperbolic; parabolic; viscoelastic material; damage; frictional contact; weak solution; HEMIVARIATIONAL INEQUALITIES; VISCOELASTIC MATERIALS;
D O I：
10.1177/1081286514527860
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem describing contact problem between the body and foundation. The process is dynamic, the material behaviour is described by nonlinear viscoelastic law, strongly coupled with the thermal effects. The contact is modelled by nonmonotone subdifferential boundary conditions. The mechanical damage of the material is described by a parabolic equation. We use recent results from the theory of hemivariational inequailities and fixed point theorems.
引用
收藏
页码：525 / 538
页数：14
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