A quasistatic elastic-viscoplastic contact problem with wear and frictionless

Ahmed Hamidat; Adel Aissaoui

doi:10.26637/mjm1104/006

Abstract

We consider here a frictionless contact problem for elastic-viscoplastic materials, in a quasi-static process. The contact with a rigid base is modeled without friction with condition of wear and damage. The damage the elastic deformations of the material is modeled by an internal variable of the body called the damage field. The problem formula is given as a system that includes a variational equation with respect to the displacement field, and a variational inequality of the parabolic type with respect to the damage field. We prove a weak solution existence and uniqueness theorem relating to the problem. The techniques employed are based on the theory of monotonic operators, followed by fixed point arguments.

Keywords:

Frictionless, quasistatic, damage, wear, fixed point

Mathematics Subject Classification:

74C10, 49J40, 74M15, 74R20

Authors Imprint References Funding Related Articles Downloads

Ahmed Hamidat Laboratory of Operator Theory and PDE: Foundations and Applications, University of El Oued, Fac, Exact Sciences, https://orcid.org/0000-0002-7637-6413
Adel Aissaoui Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of El Oued 39000, El Oued, Algeria.

Pages: 403-416
Date Published: 01-10-2023
Vol. 11 No. 04 (2023): Malaya Journal of Matematik (MJM)

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