Year: 2025
Type: article
Abstract: We study a quasistatic sliding contact problem with wear between a viscoelastic with long memory and a rigid moving foundation. We model the wear with a version of Archard's law. Thermal effects is taken into account. We establish a variational formulation of the model and we prove the existence and uniqueness of the weak solution. The proofs are based on the nonlinear equations involving the monotone operators, the classical result of nonlinear first order evolution inequalities, and the fixed-point arguments. We also establish the dependent results with respect to certain data.
DOI: 10.5269/bspm.79091
Authors: N. Bensebaa, N. Lebri
Institution: University Ferhat Abbas of Setif
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7202371124