Original article: Approximation and numerical realization of 3D quasistatic contact problems with Coulomb friction

  • Authors:
  • J. Haslinger;R. KučEra;O. Vlach;C. C. Baniotopoulos

  • Affiliations:
  • Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic;Department of Mathematics, VŠB-TU Ostrava, Tř. 17. listopadu 15, 708 33 Ostrava-Poruba, Czech Republic;Department of Applied Mathematics, VŠB-TU Ostrava, Tř. 17. listopadu 15, 708 33 Ostrava-Poruba, Czech Republic;Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2012

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Abstract

Abstract: This paper deals with the full discretization of quasistatic 3D Signorini problems with local Coulomb friction and a coefficient of friction which may depend on the solution. After a time discretization we obtain a system of static contact problems with Coulomb friction. Each of these problems is solved by the T-FETI domain decomposition method used in auxiliary contact problems with Tresca friction. Numerical experiments show the efficiency of the proposed method.