Bifurcations and Instabilities in Some Finite Dimensional Frictional Contact Problems

  • D. Vola
  • A. Pinto da Costa
  • S. Barbarin
  • J. A. C. Martins
  • M. Raous
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)


The present work is part of a research effort devoted to the study of bifurcation and instability phenomena in frictional contact problems. Several situations have been considered in these studies:
  1. (i)

    the occurrence of bifurcations in quasi-static paths; this is a stiffness and friction induced phenomenon of non-uniqueness of quasi-static solutions;

  2. (ii)

    the initiation of dynamic solutions at equilibrium positions, with no initial perturbations, but with initial acceleration and reaction discontinuities; this is a mass and friction induced phenomenon of non-uniqueness of dynamic solutions;

  3. (iii)

    the existence of smooth non-oscillatory growing dynamic solutions with perturbed initial conditions arbitrarily close to equilibrium configurations, i.e. the divergence instability of equilibrium states;

  4. (iv)

    the existence of non-oscillatory or oscillatory growing dynamic solutions with perturbed initial conditions arbitrarily close to portions of quasi-static paths;

  5. (v)

    the occurrence of non-oscillatory (divergence) or oscillatory (flutter) instabilities of steady sliding equilibrium states.



Contact Force Contact Problem Linear Complementarity Problem Coulomb Friction Frictional Contact 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • D. Vola
    • 1
  • A. Pinto da Costa
    • 2
  • S. Barbarin
    • 1
  • J. A. C. Martins
    • 2
  • M. Raous
    • 1
  1. 1.Equipe Mécanique et Modélisation du ContactLaboratoire de Mécanique et d’AcoustiqueMarseilleFrance
  2. 2.Departamento de Engenharia Civil and ICISTInstituto Superior TécnicoLisboaPortugal

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