A Numerical Algorithm for Signorini’s Problem with Coulomb Friction

  • H. J. C. Barbosa
  • R. A. Feijóo
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 304)


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.


Lagrange Multiplier Contact Problem Coulomb Friction Deformable Body Nodal Unknown 
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Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • H. J. C. Barbosa
    • 1
  • R. A. Feijóo
    • 1
  1. 1.LNCC/CNPqRio de JaneiroItaly

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