Weak formulations of quasistatic frictional contact problems

We consider a general mathematical model which describes the quasistatic contact of deformable body with an obstacle, so-called foundation. The material’s behaviour is modeled visco-elastic-type constitutive law and described interface associated to version Coulomb’s dry friction. list assumptions on data provide relevant examples laws boundary conditions. Then, we derive two different variational formulations in unknowns are displacement strain field, respectively. prove equivalence these formulations. Finally, use recent arguments sweeping process order obtain existence unique weak solution model.