Analysis of a viscoelastic antiplane contact problem with slip-dependent friction
Thierry-Vincent Hoarau-Mantel, Andaluzia Matei (2002)
International Journal of Applied Mathematics and Computer Science
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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. 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...