@Article{JNMA-6-1139,
author = {Mandyly , YoussefOuardy , Ilham ElFakhar , Rachid and Benkhira , El Hassan},
title = {Thermo-Electro-Elastic Friction Problem with Modified Signorini Contact Conditions},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {4},
pages = {1139--1156},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.1139},
url = {http://global-sci.org/intro/article_detail/jnma/23676.html}
}