Numerical Analysis of a Sliding Frictional Contact Problem with Normal Compliance and Unilateral Contact

This paper represents a continuation of [1] and [2]. Here, we consider the numerical analysis non-trivial frictional contact problem in form system evolution nonlinear partial differential equations. The model describes equilibrium viscoelastic body sliding with moving foundation. is modeled multivalued normal compliance condition memory term restricted by unilateral constraint associated version Coulomb’s law dry friction. After description some assumptions, derive variational formulation problem, which consists coupling inequality for displacement field equation stress field. Then, introduce fully discrete scheme approximation problem. Under certain solution regularity an optimal order error estimate provide validation this result considering simulations study two-dimensional