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Quasistatic viscoelastic contact with normal compliance and friction. (English) Zbl 0921.73231
Summary: We prove the existence of a unique weak solution for the quasistatic problem of frictional contact between a deformable body and a rigid foundation. The material is assumed to have nonlinear viscoelastic behavior. The contact is modeled with normal compliance and with the associated version of Coulomb’s law of dry friction. We establish the continuous dependence of the solution on the normal compliance function. Moreover, we prove the existence of a unique solution for the problem of sliding contact with wear.

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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