Glasnik matematički, Vol. 46 No. 2, 2011.
Original scientific paper
https://doi.org/10.3336/gm.46.2.13
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
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.
Keywords
Viscoelasticity; quasistatic; frictional contact; normal compliance
Hrčak ID:
74271
URI
Publication date:
23.11.2011.
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