@misc{Hoarau-Mantel_Thierry-Vincent_Analysis, author={Hoarau-Mantel, Thierry-Vincent and Matei, Andaluzia}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation.}, abstract={Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational inequalities. Finally, we prove that the solution converges to the solution of the corresponding elastic problem as the viscosity converges to zero.}, type={artykuł}, title={Analysis of a viscoelastic antiplane contact problem with slip-dependent friction}, keywords={antiplane problem, slip-dependent friction law, viscoelastic law}, }