My talk concerns an analysis of two classes of unilateral contact problem with adhesion and friction between two (visco)elastic bodies.

First, I present a quasistatic contact problem with Signorini conditions, adhesion and local Coulomb friction for two elastic bodies.

Second, I consider a dynamic unilateral contact problem with adhesion and nonlocal friction between two viscoelastic bodies of Kelvin-Voigt type. I give classical and variational formulations for these problems and I present some existence and approximation results for each corresponding variational problem.

Finally, some numerical examples are presented.