A MATHEMATICAL ANALYSIS OF A DYNAMICAL FRICTIONAL CONTACT MODEL IN THERMOVISCOELASTICITY

被引：15

作者：

Chau, O. ^{[1
]}

Oujja, R. ^{[1
]}

Rochdi, M. ^{[1
]}

机构：

[1] Univ La Reunion, Dept Maths Info, BP 7151,15 Ave Rene Cassin, F-97715 St Denis Messag, La Reunion, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2008年 / 1卷 / 01期

关键词：

Thermoviscoelastic frictional contact; dynamic process; evolution equations; damped response; frictional heat exchange; weak solutions; fixed point; numerical approximation; error estimates;

D O I：

10.3934/dcdss.2008.1.61

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the dynamic evolution of a thermoviscoelastic body which is on frictional contact with a rigid foundation. The contact is modeled by a general normal damped response condition with friction law and heat exchange. We establish the existence and uniqueness of the weak solution, under the condition that the viscosity is sufficiently strong. Finally the numerical analysis of a fully discrete scheme is presented.

引用

页码：61 / 70

页数：10