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A Domain Decomposition Algorithm for Contact Problems with Coulomb’s Friction

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Domain Decomposition Methods in Science and Engineering XXI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 98))

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Abstract

The paper analyzes a continuous and discrete version of the Neumann–Neumann domain decomposition algorithm for two-body contact problems with Coulomb friction. Each iterative step consists of a linear elasticity problem for one body with displacements prescribed on a contact part of the boundary and a contact problem with Coulomb friction for the second body. To ensure continuity of contact stresses, two auxiliary Neumann problems in each domain are solved. Numerical experiments illustrate the performance of the proposed approach.

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References

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Acknowledgements

This research was supported by the grant GAČR P201/12/0671.

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Authors and Affiliations

  1. KNM MFF UK Prague, Sokolovská 83, 18675, Praha 8, Czech Republic

    J. Haslinger

  2. Department of Mathematics and Descriptive Geometry, VŠB-TUO, 17. listopadu 15/2172, 70833, Ostrava-Poruba, Czech Republic

    R. Kučera

  3. Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Basse-Normandie, Caen, France

    T. Sassi

Authors
  1. J. Haslinger
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  2. R. Kučera
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  3. T. Sassi
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Corresponding author

Correspondence to R. Kučera .

Editor information

Editors and Affiliations

  1. INRIA, Rennes, France

    Jocelyne Erhel

  2. Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander

  3. Laboratoire Analyse, Géometrie & Applications, Université Paris XIII, Villetaneuse, France

    Laurence Halpern

  4. INRIA, Rennes, France

    Géraldine Pichot

  5. Laboratoire LMNO, Université de Caen, Caen, France

    Taoufik Sassi

  6. New York University Courant Institute, New York, New York, USA

    Olof Widlund

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Haslinger, J., Kučera, R., Sassi, T. (2014). A Domain Decomposition Algorithm for Contact Problems with Coulomb’s Friction. In: Erhel, J., Gander, M., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-05789-7_86

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