Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem

被引：7
|
作者：
Essoufi, El. [1 ]
Benkhira, El. [1 ]
Fakhar, R. [1 ]
机构：
[1] Univ Hassan I, FSTS, Dept Math & Informat, Settat 26000, Morocco
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2010年 / 5卷 / 07期
关键词：
piezoelectric; Coulomb's law; Signorini condition; fixed point process; finite element approximation; error estimates;
D O I：
10.1051/mmnp/20105714
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error estimates on the solutions are derived.
引用
收藏
页码：84 / 90
页数：7
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