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| HAL : hal-00690585, version 1 |
| Fiche détaillée |  Récupérer au format |
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| European Journal of Applied Mathematics 14 (2003) 465-483 |
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| Surface perturbation of an elastodynamic contact problem with friction |
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| Yves Renard 1, 2Jean-Claude Paumier |
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| (2003) |
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| We consider the dynamical process of an elastic body in unilateral fricitonal contact with a rigid foundation. Friction is modelled with the Coulomb law with a coefficient that depends on the slip velocity. To allow for velocity discontinuities we use the elastodynamic (hyperbolic) framework. Nevertheless, this does not lead to a well-posed problem. To remedy this, we perturb the solution of the elastodynamical problem in a thin layer next to the contact boundary. This is a generalization of an approach previously studied in a one-dimensional case. We establish existence and uniqueness results for the perturbed and regularized problem and provide an interpretation of this perturbation. |
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| 1 : | Laboratoire de Mécanique des Contacts et des Structures (LaMCoS) |
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CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 2 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Analyse numérique |
| hal-00690585, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00690585 | |
| oai:hal.archives-ouvertes.fr:hal-00690585 | |
| Contributeur : Yves Renard | |
| Soumis le : Lundi 23 Avril 2012, 21:05:05 | |
| Dernière modification le : Lundi 23 Avril 2012, 21:05:05 | |
