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

Author

Listed:
  • A. Amassad

    (Université de Nice)

  • C. Fabre

    (Université de Nice)

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.

Suggested Citation

  • A. Amassad & C. Fabre, 2003. "Analysis of a Viscoelastic Unilateral Contact Problem Involving the Coulomb Friction Law," Journal of Optimization Theory and Applications, Springer, vol. 116(3), pages 465-483, March.
    • Handle: RePEc:spr:joptap:v:116:y:2003:i:3:d:10.1023_a:1023044517955
    DOI: 10.1023/A:1023044517955
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    Cited by:

    1. Migórski, Stanisław & Gamorski, Piotr, 2019. "Variational–hemivariational inequality for a class of dynamic nonsmooth frictional contact problems," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 465-479.
    2. M. Delost & C. Fabre, 2007. "On Abstract Variational Inequalities in Viscoplasticity with Frictional Contact," Journal of Optimization Theory and Applications, Springer, vol. 133(2), pages 131-150, May.

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