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Analysis of a quasistatic viscoplastic problem involving tresca friction law
The quasistatic evolution of an elastic-viscoplastic body in
bilateral contact with a
rigid foundation is considered. The contact involves viscous friction of
Tresca type. Two variational
formulations of the problem are proposed, followed by existence and
uniqueness results. Some
properties involving the equivalence between the previous variational
formulations, the continuous
dependence of the solution with respect to the data as well as a
convergence result with respect to
the friction yield limit are also obtained.