A quasi-static contact problem with friction in electro viscoelasticity with long-term memory body with damage and thermal effects.
نویسندگان
1 Department of Mathematics, University of El Oued, 39000 El Oued, Algeria
2 Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of El Oued, 39000, El Oued, Algeria
doi
10.22075/ijnaa.2022.24226.2696چکیده
In this paper, we consider a mathematical model that describes the quasi-static process of contact between a piezoelectric body and a deformable foundation. A nonlinear thermo-electro-viscoelastic constitutive law with long-term memory and damage is used and the contact is described with the normal compliance condition and a version of Coulomb’s law of friction. We derive variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, the temperature field and the damage field, the existence and uniqueness of a weak solution to the problem are proved. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed points.
