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Existence of solutions of a dynamic Signorini’s problem with nonlocal friction in viscoelasticity. (English) Zbl 1018.35074
Summary: A dynamic unilateral contact problem with nonlocal friction for a viscoelastic body satisfying a Kelvin-Voigt law is studied. Using a penalty method and compactness results, the existence of a weak solution of this problem is proved.

MSC:
35Q72 Other PDE from mechanics (MSC2000)
74M15 Contact in solid mechanics
35R35 Free boundary problems for PDEs
49J40 Variational inequalities
74A55 Theories of friction (tribology)
74D05 Linear constitutive equations for materials with memory
74H20 Existence of solutions of dynamical problems in solid mechanics
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