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| HAL : hal-00690597, version 1 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Numerical Analysis 45, 5 (2007) 2012-2031 |
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| An error estimate for the Signorini problem with Coulomb friction approximated by finite elements |
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| Yves Renard 1, 2Patrick Hild 3 |
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| (2007) |
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| The present paper is concerned with the unilateral contact model and the Coulomb friction law in linear elastostatics. We consider a mixed formulation in which the unknowns are the displacement field and the normal and tangential constraints on the contact area. The chosen finite element method involves continuous elements of degree one and continuous piecewise affine multipliers on the contact zone. A convenient discrete contact and friction condition is introduced in order to perform a convergence study. We finally obtain a first a priori error estimate under the assumptions ensuring the uniqueness of the solution to the continuous problem. |
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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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| 3 : | Laboratoire de Mathématiques (LM-Besançon) |
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CNRS : UMR6623 – Université de Franche-Comté |
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| Domaine | : | Mathématiques/Analyse numérique |
| hal-00690597, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00690597 | |
| oai:hal.archives-ouvertes.fr:hal-00690597 | |
| Contributeur : Yves Renard | |
| Soumis le : Lundi 23 Avril 2012, 21:37:32 | |
| Dernière modification le : Lundi 23 Avril 2012, 21:37:32 | |
