Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 93
Numerical analysis of variational inequality modeling a thermopiezoelectric locking material
Abderrahmane Oultou, Othmane Baiz, Hicham Benaissa
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 07, 2022
March 03, 2089
April 15, 2089

Abstract: The aim of the present paper is to investigate a new class of elliptic variational inequalities arising in the modelling of the contact problem of thermo-piezoelectric ideally locking materials. Here, the contact is described by the Signorini unilateral condition, the locking material character makes the solution belongs to the convex set. We deliver the variational formulation of the problem. By employing the Tychonoff fixed theorem for multivalued operator, the existence of the solution established. Moreover, we introduce and analyse the finite element method to the problem. Finally, we ...