Relaxation procedures for solving Signorini-Coulomb contact problems

Paolo Bisegna (1) , Frédéric Lebon (2) , Franco Maceri (1)

1 Università degli Studi di Roma Tor Vergata [Roma] = University of Rome Tor Vergata
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

This paper deals with the numerical solution of two-dimensional unilateral contact problems with friction between a linearly elastic body and a rigid obstacle. The contact is modeled by Signorini’s law and the friction by Coulomb’s law. A discrete dual formulation condensed on the contact zone is introduced and the contact forces are obtained either by relaxation or by block-relaxation procedures. A comparison is presented between these two techniques.

Mots clés: Unilateral contact; Friction; Dual formulation; Equilibrium finite elements; Block-relaxation

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Paolo Bisegna, Frédéric Lebon, Franco Maceri. Relaxation procedures for solving Signorini-Coulomb contact problems. Advances in Engineering Software, 2004, 35, pp.595-600. ⟨10.1016/j.advengsoft.2004.03.018⟩. ⟨hal-00088256⟩