Mixed hemivariational inequality arising in a thermo-elastic frictional contact problem

RACHID LMANGAD; Oultou Abderrahmane; Hicham Benaissa

doi:10.5269/bspm.81576

Mixed hemivariational inequality arising in a thermo-elastic frictional contact problem

Authors

RACHID LMANGAD University Sultan Moulay Slimane https://orcid.org/0009-0001-7768-1233
Oultou Abderrahmane University Sultan Moulay Slimane https://orcid.org/0000-0003-2782-2699
Hicham Benaissa University Sultan Moulay Slimane https://orcid.org/0000-0002-5035-3838

DOI:

https://doi.org/10.5269/bspm.81576

Abstract

This paper presents a new mathematical model for the analysis of frictional contact between a thermoelastic body and a foundation. The contact interaction is described through a combination of unilateral frictional conditions, nonmonotone multivalued contact laws, and friction laws formulated via the Clarke subdifferential. A variational formulation of the problem is developed, and the existence and uniqueness of a weak solution are rigorously proved.