A history-dependent frictional contact problem with wear for thermoviscoelastic materials
Abstract
In this manuscript we study a contact problem between a deformable viscoelastic body and a rigid foundation. Thermal effects, wear and friction between surfaces are taken into account. A variational formulation of the problem is supplied and an existence and uniqueness result is proved. The idea of the proof rested on a recent result on history-dependent quasivariational inequalities. Finally, a perturbation of the data is initiated and a convergence result is demonstrated when the perturbation parameter converges to zero.
Keyword : viscoelastic material, thermal effects, friction, history-dependent quasivariational inequality, convergence result
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