Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity

Marius Cocou (1)

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

A dynamic unilateral contact problem with nonlocal friction for a viscoelastic body satisfying a Kelvin-Voigt law is studied. Using a penalty method and compactness results, the existence of a weak solution of this problem is proved.

Mots clés: Dynamic problems; unilateral contact; nonlocal friction; viscoelastic body; existence of solutions

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

Marius Cocou. Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity. Zeitschrift für Angewandte Mathematik und Physik, 2002, 53 (6), pp.1099-1109. ⟨10.1007/PL00012615⟩. ⟨hal-00166689⟩