Glasnik Matematicki, Vol. 46, No. 2 (2011), 439-454.

STUDY OF A QUASISTATIC CONTACT PROBLEM IN VISCOELASTICITY

Arezki Touzaline

Abstract.   We study a quasistatic frictional contact of a viscoelastic body with a foundation. The contact is modelled with a normal compliance condition such that the penetration is restricted with unilateral constraints and the associated version of Coulomb's law of dry friction. We establish the existence of a weak solution if the coefficient of friction is small enough. The proof is based on arguments of time-discretization, compactness and lower semicontinuity.

2000 Mathematics Subject Classification.   47J20, 49J40, 74M10, 74M15.

Key words and phrases.   Viscoelasticity, quasistatic, frictional contact, normal compliance.

DOI: 10.3336/gm.46.2.13

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