Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction

Abstract : Some dynamic contact problems with friction can be formulated as an implicit variational inequality. A time discretization of such an inequality is given here, thus giving rise to a so-called incremental solution. The convergence of the incremental solution is established, and then the limit is shown to be the unique solution of the variational inequality. This paper contains therefore not only some new results concerning the numerical aspect of some models of contact and friction but also a constructive existence result.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00835947
Contributeur : Elaine Pratt <>
Soumis le : jeudi 20 juin 2013 - 11:04:08
Dernière modification le : mardi 3 juillet 2018 - 13:00:03

Lien texte intégral

Identifiants

Citation

Jean-Marc Ricaud, Elaine Pratt. Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction. Mathematical Methods in the Applied Sciences, Wiley, 2001, 24 (7), pp.491-511. 〈10.1002/mma.223〉. 〈hal-00835947〉

Partager

Métriques

Consultations de la notice

183