Asymptotic study of a linear isothermal elasticity problem with Coulomb friction

Abstract

This Master’s thesis falls within the framework of studying the asymptotic behavior of certain boundary value problems for partial differential equations (PDEs) in a stationary state within three-dimensional domains , featuring non-linear boundary conditions with contact governed by Coulomb law on the boundary. We begin with the variational formulation of the problem ,employing scaling techniques and new unknowns to conduct the study on a domain independent of ε . Finally , we derive some estimates , and by passing to the limit , we obtain the boundary value problems and the general weak formulation for the presented problems