Analysis of electro-visco-elastic contact problem with friction

被引：0
|
作者：
Bachmar, A. [1 ]
Serrar, T. [1 ]
机构：
[1] Setif 1 Univ, Appl Math Lab, Setif 19000, Algeria
来源：
Journal of Mathematics and Computer Science-JMCS | 2016年 / 16卷 / 04期
关键词：
Piezoelectric; frictional contact; electro-visco-elastic; fixed point; quasistatic process; Coulomb's friction law; variational inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A quasistatic frictional contact problem is studied. The material behavior is modeled with a nonlinear electro-visco-elastic constitutive law, allowing piezoelectric effects. The body may come into contact with a rigid obstacle. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction, and a regularized electrical conductivity condition. We derive a variational formulation of the problem, then, under a smallness assumption on the coefficient of friction, we prove an existence and uniqueness result of a weak solution for the model. The proof is based on arguments of elliptic variational inequalities and fixed points of operators. (C) 2016 All rights reserved.
引用
收藏
页码：529 / 540
页数：12
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