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A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction

  • Ahmad Ramadan
  • Mikäel Barboteu
  • Krzysztof Bartosz
  • Piotr Kalita
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 95)

Abstract

In this work, we consider a static frictional contact problem between a linearly elastic body and an obstacle, the so-called foundation. This contact is described by a normal compliance condition of such a type that the penetration is restricted with unilateral constraint. The friction is modeled with a nonmonotone law. In order to approximate the contact conditions, we consider a regularized problem wherein the contact is modeled by a standard normal compliance condition without finite penetration. Next, we present a convergence result between the solution of the regularized problem and the original problem. Finally, we provide a numerical validation of this convergence result. To this end we introduce a discrete scheme for the numerical approximation of the frictional contact problems.

Notes

Acknowledgements

This research was supported by a Marie Curie International Research Staff Exchange Scheme Fellowship within the seventh European Community Framework Programme under Grant Agreement no. 2011-295118.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Ahmad Ramadan
    • 1
  • Mikäel Barboteu
    • 1
  • Krzysztof Bartosz
    • 2
  • Piotr Kalita
    • 2
  1. 1.Université de Perpignan Via DomitiaPerpignanFrance
  2. 2.Jagiellonian UniversityKrakovPoland

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