Quasistatic contact problem between thermo-electroelastic bodies with long-term memory and adhesion

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Authors :

Tedjani Hadj ammar

Author Address :

Department of Mathematics, University of El-Oued, Algeria.

Abstract :

We study of a quasistatic frictional contact problem between two thermo-electroelastic bodies with adhesion. The temperature of the materials caused by elastic deformations. The contact is modelled with a version of normal compliance condition and the associated Coulomb’s law of friction in which the adhesion of contact surfaces is taken into account. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic equalities, differential equations and fixed point arguments.

Keywords :

thermo-electroelastic materials, Adhesion, Coulomb’s law of friction, Normal compliance, Fixed point.

DOI :

Article Info :

Received : October 26, 2015; Accepted : April 07, 2016.