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Laboratoire de Mathématiques Raphaël Salem - Collection HAL |  |
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Laboratoire de Mathématiques Raphaël Salem - Collection HAL | |
| HAL : hal-00437513, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (07-12-2009) | v2 (18-02-2010) | v3 (20-11-2010) |
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| A simplified model for elastic thin shells |
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| Dominique Blanchard 1Georges Griso 2 |
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| (30/11/2009) |
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| We introduce a simplified model for the minimization of the elastic energy in thin shells. This model is not obtained by an asymptotic analysis. The thickness of the shell remains a parameter as in Reisner-Mindlin's model for plates and Koiter's model for shells in the linear case. The simplified model admits always minimizers by contrast with the original one. We show the relevance of our approach by proving that the minimum of the simplified model and the infimum of the full model have the same limit as the thickness tends to 0. |
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| 1 : | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
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CNRS : UMR6085 – Université de Rouen |
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| 2 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00437513, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00437513 | |
| oai:hal.archives-ouvertes.fr:hal-00437513 | |
| Contributeur : Dominique Blanchard | |
| Soumis le : Lundi 7 Décembre 2009, 17:00:19 | |
| Dernière modification le : Lundi 7 Décembre 2009, 23:21:44 | |
