TY - JOUR T1 - Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem AU - Essoufi , El-H. AU - Benkhira , El-H. AU - Fakhar , R. JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 355 EP - 378 PY - 2010 DA - 2010/03 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0980 UR - https://global-sci.org/intro/article_detail/aamm/8335.html KW - AB -

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a conductive foundation. A non linear electro-elastic constitutive law is used to model the piezoelectric material. The unilateral contact is modelled using the Signorini condition, nonlocal Coulomb friction law with slip dependent friction coefficient and a regularized electrical conductivity condition. Existence and uniqueness of a weak solution is established. The finite elements approximation of the problem is presented. A priori error estimates of the solutions are derived and a convergent successive iteration technique is proposed.