Approximation of quasistatic Signorini problems with local friction by a mixed method

Marius Cocou (1) , Rémy Rocca (2)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 Université de Provence - Aix-Marseille 1

The approximation of the quasistatic two-body unilateral contact problem with local Coulomb friction by a mixed finite element method is studied. Continuous and discrete variational formulations are stated. Using a regularity result for the normal component of the stress vector for an auxiliary problem with given friction and some error estimates, convergence to the continuous quasistatic solution is proved when the discretization parameters tend to zero.

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

Marius Cocou, Rémy Rocca. Approximation of quasistatic Signorini problems with local friction by a mixed method. 3rd Contact Mechanics International Symposium, Jun 2001, Praia da Consolaçao, Peniche, Portugal. pp.269-276, ⟨10.1007/978-94-017-1154-8_28⟩. ⟨hal-00166136⟩