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A domain decomposition method for two-body contact problems with Tresca friction

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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 Tresca 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 Tresca friction for the second body. To ensure continuity of contact stresses, two auxiliary Neumann problems in each domain are solved. Numerical experiments illustrate the performace of the proposed approach.

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Authors and Affiliations

  1. Centre of Excellence IT4I, VŠB-Technical University of Ostrava, Ostrava-Poruba, Czech Republik

    Jaroslav Haslinger & Radek Kučera

  2. Laboratory of Mathematics Nicolas Oresm, CNRS UMR 6139, University of Caen, Caen, France

    Julien Riton & Taoufik Sassi

Authors
  1. Jaroslav Haslinger
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  2. Radek Kučera
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  3. Julien Riton
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  4. Taoufik Sassi
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Corresponding author

Correspondence to Radek Kučera.

Additional information

Communicated by: K. Urban

This work was supported by the European Development Fund in the IT4Innovations Centre of Excellence project CZ.1.05/1.1.00/02.0070 and by the grant P201/12/0671 of the Grant Agency of the Czech Republic. A part of this research was done in the frame of the ERASMUS programme.

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Haslinger, J., Kučera, R., Riton, J. et al. A domain decomposition method for two-body contact problems with Tresca friction. Adv Comput Math 40, 65–90 (2014). https://doi.org/10.1007/s10444-013-9299-y

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  • DOI: https://doi.org/10.1007/s10444-013-9299-y

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