Variational and Numerical Analysis of a Dynamic Tresca Frictional Contact Problem for Thermo‐Electro‐Viscoelastic Materials

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 2026

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Authors: Abdelhafid Ouaanabi, Mohammed Talibi Alaoui, Mustapha Bouallala, El Hassan ESSOUFI
DOI: 10.1002/zamm.70383
Cited by: 2
References: 23

Abstract

ABSTRACT This paper addresses the dynamic contact problem between a thermo‐electro‐viscoelastic body and a rigid foundation. The contact is bilateral, with friction modeled by Tresca's friction law. The weak formulation of the model is established as a coupled system consisting of a second‐order variational evolution inequality, a parabolic variational equation, and an elliptic variational equation. We prove the existence and uniqueness of a weak solution to this problem by applying the Banach fixed‐point theorem. Finally, we analyze a fully discrete scheme based on the Euler method and the finite element method, and we derive error estimates for the approximate solutions.

Fields of Study & Subjects

Contact Mechanics and Variational Inequalities Dynamics and Control of Mechanical Systems Brake Systems and Friction Analysis

Publication details

Journal / source
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Publisher
Wiley
Volume
106
Issue
4
Publication date
1 April 2026
Language
EN