We consider an antiplane model which describes the contact between a deformable cylinder and a rigid foundation, under the small deformation hypothesis, for quasistatic processes. The behaviour of the material is modelled using a viscoelastic constitutive law with long memory and the frictional contact is modelled using Tresca’s law. We focus on the weak solvability of the model, based on a weak formulation with dual Lagrange multipliers.
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