Constructive aspects of functional analysis for the treatment of frictional contact

Marius Cocou (1) , Elaine Pratt (1) , Michel Raous (1)

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

This paper is a survey of our results concerning frictional unilateral contact problems. Mathematical and numerical results obtained over the past few years for both static and quasistatic problems are summarized. Undergoing developments concerning viscoelastic quasistatic problems are outlined.

Mots clés: Unilateral contact; Static and quasistatic friction; Variational inequalities; Existence results; Numerical methods

Domaines: Analyse fonctionnelle [math.FA]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Marius Cocou, Elaine Pratt, Michel Raous. Constructive aspects of functional analysis for the treatment of frictional contact. Mathematical and Computer Modelling, 1998, 28 (4-8), pp.109-120. ⟨10.1016/SO895-7177(98)112-5⟩. ⟨hal-00835979⟩