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Unilateral Problems in Structural Analysis — 2 pp 33–45Cite as

A Numerical Algorithm for Signorini’s Problem with Coulomb Friction

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 304))

Abstract

The problem of contact between a deformable solid and a rigid surface where friction forces following Coulomb’s law can arise is studied in this work. The problem is approximated by a sequence of two simpler problems: (i) contact without friction and (ii) friction with prescribed normal stress. Within the context of linear elasticity steps (i) and (ii) are formulated as minimization problems. Lagrange multipliers are introduced and the finite element method is used for spatial discretization. Two quadratic programming problems arise and are solved by Gauss-Seidel algorithm with relaxation and projection. A numerical example is presented.

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References

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Author information

Authors and Affiliations

  1. LNCC/CNPq, Rio de Janeiro, Italy

    H. J. C. Barbosa & R. A. Feijóo

Authors
  1. H. J. C. Barbosa
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  2. R. A. Feijóo
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Editor information

Editors and Affiliations

  1. Universita’ di Udine, Italy

    G. Del Piero

  2. II Universita’ di Roma, Italy

    F. Maceri

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© 1987 Springer-Verlag Wien

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Barbosa, H.J.C., Feijóo, R.A. (1987). A Numerical Algorithm for Signorini’s Problem with Coulomb Friction. In: Del Piero, G., Maceri, F. (eds) Unilateral Problems in Structural Analysis — 2. International Centre for Mechanical Sciences, vol 304. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2967-8_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2967-8_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82036-0

  • Online ISBN: 978-3-7091-2967-8

  • eBook Packages: Springer Book Archive

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