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On wedged configurations with Coulomb friction

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Analysis and Simulation of Contact Problems

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 27))

Abstract

If the coefficient of friction is sufficiently large, elastic contact problems can exhibit ‘wedged’ solutions in which the body remains in a state of stress in the absence of applied loads. In this paper, we demonstrate that the critical coefficient of friction for wedging to occur is also the lowest real eigenvalue of a certain nonlinear eigenvalue problem. Possible strategies for solving this eigenvalue problem are discussed.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109-2125, USA

    J.R. Barber

  2. Laboratoire de Mathématiques, Université de Franche-Comté/CNRS UMR 6623, 16 route de Gray, Besanc con, 25030, France

    P. Hild

Authors
  1. J.R. Barber
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  2. P. Hild
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Editor information

Editors and Affiliations

  1. Institute of Mechanics and Computational Mechanics, University of Hannover, Appelstr. 9A, Hannover, 30167, Germany

    Peter Wriggers Professor Dr.

  2. Institute of Mechanics and Computational Mechanics, University of Hannover, Appelstr. 9A, Hannover, 30167, Germany

    Udo Nackenhorst Professor Dr.

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© 2006 Springer

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Barber, J., Hild, P. (2006). On wedged configurations with Coulomb friction. In: Wriggers, P., Nackenhorst, U. (eds) Analysis and Simulation of Contact Problems. Lecture Notes in Applied and Computational Mechanics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31761-9_23

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  • DOI: https://doi.org/10.1007/3-540-31761-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31760-9

  • Online ISBN: 978-3-540-31761-6

  • eBook Packages: EngineeringEngineering (R0)

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