A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable

Ahmed Hamidat; Hakim Bagua

doi:10.18540/jcecvl10iss8pp20858

Authors

Ahmed Hamidat Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of El Oued, 39000, El Oued, Algeria https://orcid.org/0000-0002-7637-6413
Hakim Bagua Department of Electronics and Telecommunication, Faculty of New Technologies of Information and Communication, University of Ouargla, 30000, Ouargla, Algeria

DOI:

https://doi.org/10.18540/jcecvl10iss8pp20858

Keywords:

Electro-viscoplastic. Dynamic. Differential equations. Fixed point.

Abstract

In this paper, we examine a dynamic contact problem involving an electro-elastic-viscoplastic body and a deformable base. The contact is characterized by an instantaneous normal response, and the behavior is described by an electro-elastic-viscoplastic law with an internal variable. We present both the mechanical and variational formulations of the problem, establishing the existence and uniqueness of the solution. Our proof relies on the theory of variational equations and fixed-point arguments.

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