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2008, Volume 10, Issue 4: 887-902. Doi: 10.3934/dcdsb.2008.10.887
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Analysis of a dynamic Elastic-Viscoplastic contact problem with friction

  • 1.

    Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Nawojki 11, 30-072 Krakow

  • 2.

    Jagiellonian University, Faculty of Mathematics and Computer Sciences, Institute of Computer Science, ul. Nawojki 11, 30-072 Krakow

  • 3.

    Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan

Received:  March 1, 2007
Revised:  May 1, 2008
Published online:  August 1, 2008
Abstract / Introduction Related Papers Cited by
    Abstract
  • We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is dynamic, the material behavior is described with an elastic-viscoplastic constitutive law and the frictional contact is modeled with subdifferential boundary conditions. We derive the variational formulation of the problem which is in the form of a system involving an integral equation coupled with an evolutionary hemivariational inequality. Then we prove the existence of a unique weak solution to the model. The proof is based on arguments of abstract second order evolutionary inclusions with monotone operators and a fixed point theorem.
    Mathematics Subject Classification: Primary: 47J20, 49J40, 74M15; Secondary: 74M10, 74H20.

    Citation:
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