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Numerical approximation of a viscoelastic frictional contact problemApproximation numérique d'un problème viscoélastique de contact avec frottement |
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| Authors: | Ángel Rodríguez-Arós Mircea Sofonea Juan Viaño |
| Institution: | 1. Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Avda. Lope Gómez de Marzoa S/N, Facultade de Matemáticas, 15782 Santiago de Compostela, Spain;2. Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52, avenue Paul-Alduy, 66860 Perpignan cedex, France |
| Abstract: | We consider a fully discrete scheme for a quasistatic frictional contact problem between a viscoelastic body and an obstacle. The contact is bilateral, the friction is modeled with Tresca's law and the behavior of the material is described with a viscoelastic constitutive law with long memory. We state an existence and uniqueness result for the discrete solution, followed by error estimate results. Then, we present numerical simulations in the study of a two-dimensional test example. To cite this article: Á. Rodríguez-Arós et al., C. R. Mecanique 334 (2006). |
| Keywords: | Friction Viscoelastic frictional contact Fully discrete scheme Finite element method Error estimates Duality-penalization algorithm Numerical simulations Frottement Contact viscoélastique avec frottement Schéma totalement discrétisé Méthode des élements finis Estimation de l'erreur Algorithme de dualité-pénalisation Simulations numériques |
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