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Bifurcations in Contact Problems with Local Coulomb Friction

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • J. Haslinger

    (Charles University)

  • R. Kučera

    (VŠB-TU Ostrava)

  • O. Vlach

    (VŠB-TU Ostrava)

Abstract

This contribution illustrates the bifurcation behaviour of solutions to contact problems with local Coulomb friction. The bifurcation character of solutions is well-known for models with a low number of degrees of freedom. Our aim is to show that a similar phenomen occurs when a finite element approximation with a high number of degrees of freedom is used. We experimentally find a critical value of the coefficient of friction in which one branch of solutions splits into two.

Suggested Citation

  • J. Haslinger & R. Kučera & O. Vlach, 2008. "Bifurcations in Contact Problems with Local Coulomb Friction," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 811-818, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_97
    DOI: 10.1007/978-3-540-69777-0_97
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