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

STUDY OF A QUASISTATIC CONTACT PROBLEM IN VISCOELASTICITY

Arezki Touzaline

Laboratoire de Systèmes Dynamiques, Faculté de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32 EL ALIA, Bab Ezzouar, 16111, Algérie
e-mail: ttouzaline@yahoo.fr


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.


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DOI: 10.3336/gm.46.2.13


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