Remarks on a numerical method for unilateral contact including friction

Christian Licht (1) , Elaine Pratt (2) , Michel Raous (2)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

We consider a Signorini problem (unilateral problem) with Coulomb friction in elasticity, under a small strain hypothesis. For proportional loading, the problem is equivalent to the static friction one introduced by Duvaut and Lions, [72]. The general problem has been numerically treated through an incremental formulation in Raous et al., [88].

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Analyse numérique [math.NA]

Christian Licht, Elaine Pratt, Michel Raous. Remarks on a numerical method for unilateral contact including friction. G. Del Piero; F. Maceri. Unilateral Problems in Structural Analysis IV, 101, Birkhäuser Basel, pp.129-144, 1991, International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d'Analyse Numérique, 978-3-0348-7305-5. ⟨10.1007/978-3-0348-7303-1_10⟩. ⟨hal-00836393⟩