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A quasistatic contact problem with adhesion and friction for viscoelastic materials. (English) Zbl 1192.74279

This paper deals with a variational model describing the quasistatic contact between a viscoelastic body and rigid foundation. The contact is frictional obeying the Coulomb’s law, while the bonding field is described by a first-order differential equation. The author derives the existence and uniqueness of a weak solution, using variational inequalities and Banach fixed point theorem.

MSC:

74M15 Contact in solid mechanics
74M10 Friction in solid mechanics
74D05 Linear constitutive equations for materials with memory
74H20 Existence of solutions of dynamical problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
49J40 Variational inequalities
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