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A frictional contact problem with damage in viscoplasticity. (English) Zbl 1457.74032

Summary: In this paper, we study a quasistatic contact problem with damage between a viscoplastic body and an obstacle the so-called foundation. The contact is modelled with a general normal compliance condition and the associated version of Coulomb’s law of dry friction. We provide a variational formulation of the mechanical problem for which we establish an existence theorem of a weak solution including a regularity result.

MSC:

74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
49J40 Variational inequalities
74A55 Theories of friction (tribology)
74H20 Existence of solutions of dynamical problems in solid mechanics
74M15 Contact in solid mechanics
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