Analysis of a Viscoelastic Unilateral Contact Problem Involving the Coulomb Friction Law

A. Amassad and C. Fabre
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A. Amassad: Université de Nice
C. Fabre: Université de Nice

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 3, No 1, 465-483

Abstract: Abstract We give an existence result concerning the description of a contact problem between a viscoelastic body and a rigid foundation. We assume that a quasistatic process is valid. The contact is unilateral and involves friction between the two bodies. The friction law that we consider is a regularization of the Coulomb law. We present a weak formulation of the problem involving variational inequalities and establish an existence result, using a discretization method and a fixed-point property. The discretization method leads to the study of optimization problems on convex sets which depend on the discretization step.

Keywords: Quasistatic frictional contact; unilateral contact; Coulomb friction law; viscoelasticity; discretization; fixed points (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1023044517955

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