Year: 2024
Author: Youssef Mandyly, Ilham El Ouardy, Rachid Fakhar, El Hassan Benkhira
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1139–1156
Abstract
The purpose of this paper is to investigate a frictional contact problem between a thermo-piezoelectric body and an obstacle (such as a foundation). The thermo-piezoelectric constitutive law is assumed to be nonlinear. Modified Signorini’s contact conditions are used to describe the contact, and these are adjusted to account for temperature-dependent unilateral conditions, which are associated with a nonlocal Coulomb friction law. The problem is formulated as a coupled system of displacement field, electric potential, and temperature, which is solved using a variational approach. The existence of a weak solution is established through the utilization of elliptic quasi-variational inequalities, strongly monotone operators, and the fixed point method. Finally, an iterative method is suggested to solve the coupled system, and a convergence analysis is established under appropriate conditions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.1139
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1139–1156
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Thermo-piezoelectric body foundation Signorini’s modified contact conditions Coulomb friction law variational approach elliptic quasi-variational inequalities fixed point iterative method.