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Received April 28, 2017; Accepted January 9, 2019; Published January 29, 2019
Abstract. We consider a quasistatic contact problem with coulomb friction in electro-viscoelasticity with long-term memory body. The contact is modelled with normal compliance. The adhesion of the contact surfaces is taken into account and modelled by a surface variable. We derive variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, the damage field and the adhesion field. We prove the existence of a unique weak solution to the problem. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed points.
How to Cite this Article:
Souida Boukrioua, Adel Aissaoui, Nacerdine Hemici, A quasistatic contact problem with coulomb friction in electro-viscoelasticity with long-term memory body, Journal of Nonlinear Functional Analysis, 2019 (2019), Article ID 3, pp. 1-18.