Souleiman, Yahyeh2023-08-182023-08-182021-01-052006-9731http://hdl.handle.net/123456789/2037This paper represents a continuation of a previous study on “Analysis of a Sliding Frictional Contact Problem with Unilateral Constraint”. This study considers a mathematical model which describes the equilibrium of an elastic body in frictional contact with a moving foundation. The contact is modeled with a multivalued normal compliance condition with unilateral constraints, associated to a sliding version of Coulomb’s law of dry friction. After a description of the model, the variational formulation was presented. Then, the dependence of the solution was studied with respect to the data and a convergence result was proven. Regularization method was also used to study the existence and uniqueness of the contact problem for which a convergence result was presented. Finally, a semidiscrete scheme was introduced for the numerical approximation of the sliding contact problem. Under certain solution regularity assumptions, an optimal order error estimate was derivedenElastic materialfrictional contactnormal complianceunilateral constraintvariational formulationweak solutionregularization methodfinite elementerror estimateUD College of EngineeringCoE_DjiboutiUniversité de DjiboutiDjiboutiEngineeringConvergences and numerical analysis of a contact problem with normal compliance and unilateral constraintArticle