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Quasistatic Evolution of Damage in Thermo-electro-elastic-viscoplastic Materials With Normal Compliance

Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of EL Oued , 39000, EL Oued, Algeria.

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Annals of Communications in Mathematics 2024
, 7 (1),
21-41.
https://doi.org/10.62072/acm.2024.070103
Received: 23 Dec 2023 |
Accepted: 13 Mar 2024 |
Published: 31 Mar 2024

Abstract

We have studied contact problem in a quasistatic process with boundary conditions, for which we couple a thermal effect and damage and electrical effect. We assume that the contact is with normal compliance in a form with a gap function and is associated to a slip rate-dependent version of Coulomb’s law of dry friction. We give the variational formulation, then the existence and the uniqueness of the weak solution. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, and fixed points.

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Cite This Article

Quasistatic Evolution of Damage in Thermo-electro-elastic-viscoplastic Materials With Normal Compliance.

Annals of Communications in Mathematics,

2024,
7 (1):
21-41.
https://doi.org/10.62072/acm.2024.070103
  • Creative Commons License
  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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