| Contents |
| We formulate a dynamic problem that models contact of a viscoelastic body with a rigid foundation covered by a layer of an elastic material. The normal contact is governed, up to a certain threshold, by a normal compliance law and, once this threshold is reached, by a Signorini condition. As for the friction condition, we consider a generalized Tresca law, such that the dependance of the tangential stress on the tangential velocity can be nonmonotone. We provide a proof of the solution existence as well as of the convergence of solutions to the problems with infinite penetration to the one with finite penetration. The results of the numerical experiment are presented as well. |
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