TY - JOUR
T1 - Thermo-Electro-Elastic Friction Problem with Modified Signorini Contact Conditions
AU - Mandyly , Youssef
AU - Ouardy , Ilham El
AU - Fakhar , Rachid
AU - Benkhira , El Hassan
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1139
EP - 1156
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.1139
UR - https://global-sci.org/intro/article_detail/jnma/23676.html
KW - Thermo-piezoelectric body, foundation, Signorini’s modified contact conditions, Coulomb friction law, variational approach, elliptic quasi-variational inequalities, fixed point, iterative method.
AB - <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>