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Contact problem with instantaneous normal response friction in viscoelasticity with long-term memory body | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 28 اردیبهشت 1405 اصل مقاله (465.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.32371.4812 | ||
| 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 Oued, 39000, El Oued, Algeria. | ||
| 2Department Mathematics, University of El Oued, Algeria | ||
| تاریخ دریافت: 27 آبان 1402، تاریخ پذیرش: 27 دی 1403 | ||
| چکیده | ||
| This paper explores a category of evolutionary variational problems. The formulation takes the shape of a system, encompassing a hyperbolic variational inequality (representing the displacement field), parabolic inequalities (capturing damage fields), and a differential equation (depicting the adhesion field). We establish the existence of a unique weak solution to this problem. The proof relies on the use of time-dependent variational inequalities, parabolic inequalities, differential equations, and fixed points. As an illustrative application, we explore a frictional dynamic contact problem involving a viscoelastic material with noncoercive viscosity, long-term memory, damage, and adhesion, accompanied by subdifferential boundary conditions. | ||
| کلیدواژهها | ||
| Variational inequality؛ hyperbolic؛ damage؛ fixed point؛ differential equations | ||
| مراجع | ||
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