A variational inequality and applications to quasistatic problems with Coulomb friction

Marius Cocou (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

The aim of this paper is to study an evolution variational inequality that generalizes some contact problems with Coulomb friction in small deformation elasticity. Using an incremental procedure, appropriate estimates and convergence properties of the discrete solutions, the existence of a continuous solution is proved. This abstract result is applied to quasistatic contact problems with a local Coulomb friction law for nonlinear Hencky and also for linearly elastic materials.

Mots clés: quasistatic problems; nonlinear materials; Coulomb friction; existence results; Evolution inequalities

Domaines: Mécanique des solides [physics.class-ph]

Marius Cocou. A variational inequality and applications to quasistatic problems with Coulomb friction. Applicable Analysis, 2018, 97 (8), pp.1357-1371. ⟨10.1080/00036811.2017.1376249⟩. ⟨hal-01775320⟩