Existence of a solution to a dynamic unilateral contact problem for a cracked viscoelastic body

Marius Cocou (1) , Gilles Scarella (1)

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

In this paper we study a dynamic unilateral contact problem with friction for a cracked viscoelastic body. The viscoelastic model is characterized by Kelvin–Voigt's law and a nonlocal friction law is investigated here. The existence of a solution to the problem is obtained by using a penalty method. Several estimates are obtained on the solution to the penalized problem, which enable us to pass to the limit by using compactness results.

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

Marius Cocou, Gilles Scarella. Existence of a solution to a dynamic unilateral contact problem for a cracked viscoelastic body. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2004, 338, pp.341-346. ⟨10.1016/j.crma.2003.12.013⟩. ⟨hal-00088248⟩