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

页码：84 / 90

页数：7