TY - JOUR T1 - Subdifferential Frictional Contact Problem with Thermo-Electro-Visco-Elastic Locking Materials: Analysis and Approximation AU - Faiz , Zakaria AU - Benaissa , Hicham JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1497 EP - 1522 PY - 2025 DA - 2025/07 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1497 UR - https://global-sci.org/intro/article_detail/jnma/24248.html KW - Thermo-electro-visco-elastic materials, locking piezoelectric, frictional contact problem, finite element method, error estimate. AB -
This paper investigates a frictional contact problem involving a thermo-electro-visco-elastic model for locking materials in contact with a rigid foundation. Friction is described by the subgradient of a locally Lipschitz function, while contact is governed by Signorini’s unilateral condition. We formulate the problem as a system of three hemivariational inequalities and establish an existence and uniqueness theorem using a fixed-point argument and recent advances in hemivariational inequalities theory. Finally, we present a fully discrete finite element approximation of the model and derive error estimates for the approximate solution.