 |
|
|
|
| HAL : hal-00526722, version 1 |
| arXiv : 1010.3614 |
| Fiche détaillée |  Récupérer au format |
|
|
|
|
| Asymptotic behavior of structures made of straight rods |
|
|
| Dominique Blanchard 1Georges Griso 2 |
|
|
| (15/10/2010) |
|
|
|
| This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness $2\delta$ when $\delta$ tends to 0. This analysis relies on the decomposition of the large deformation of a single rod introduced in [6] and on the extension of this technique to a multi-structure. We characterize the asymptotic behavior of the infimum of the total elastic energy as the minimum of a limit functional for an energy of order $\delta^\beta$ ($2<\beta\le 4$). |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
|
|
|
CNRS : UMR6085 – Université de Rouen |
|
|
| 2 : | Laboratoire Jacques-Louis Lions (LJLL) |
|
|
|
CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Nonlinear elasticity – junctions – rods |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00526722, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00526722 | |
| oai:hal.archives-ouvertes.fr:hal-00526722 | |
| Contributeur : Dominique Blanchard | |
| Soumis le : Lundi 18 Octobre 2010, 15:28:44 | |
| Dernière modification le : Lundi 18 Octobre 2010, 16:37:47 | |
