A quasi-static contact problem with friction in electro viscoelasticity with long-term memory body with damage and thermal effects. | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 13، شماره 2، مهر 2022، صفحه 205-220 اصل مقاله (504.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24226.2696 | ||
| نویسندگان | ||
| Ahmed Hamidat* 1؛ Adel Aissaoui2 | ||
| 1Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of El Oued, 39000, El Oued, Algeria | ||
| 2Department of Mathematics, University of El Oued, 39000 El Oued, Algeria | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Electro-viscoelasticity؛ quasistatic؛ Damage؛ temperature؛ differential equations؛ fixed point | ||
| مراجع | ||
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