Volume 2, Issue 3
Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem

El-H. Essoufi ,  El-H. Benkhira and R. Fakhar

10.4208/aamm.09-m0980

Adv. Appl. Math. Mech., 2 (2010), pp. 355-378.

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  • Abstract

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. A 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.

  • History

Published online: 2010-03

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