Abstract
We study the evolution of a class of quasistatic problems, whichdescribe frictional contact between a body and a foundation. Theconstitutive law of the materials is elastic, or visco-elastic:with short or long memory, and the contact is modelled by ageneral subdifferential condition on the velocity. We derive weakformulations for the models and establish existence anduniqueness results. The proofs are based on evolution variationalinequalities, in the framework of monotone operators and $fi$xedpoint methods. We show the approach of the viscoelastic solutionsto the corresponding elastic solutions, when the viscosity tendsto zero. Finally we also study the approach to short memoryvisco-elasticity when the long memory relaxation coefficientsvanish.
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