On the derivation of nonlinear shell models from three-dimensional elasticity
Résumé
A nonlinearly elastic shell is modeled either by the nonlinear three-dimensional shell model or by a nonlinear two-dimensional shell model. We show how such two-dimensional shell models can be derived from the minimization problem associated with the nonlinear three-dimensional shell model. For shells made of a Saint Venant-Kirchhoff material, we obtain in particular the nonlinear shell models of Naghdi, of Koiter, and of Ciarlet-Koiter. Finally, we justify these shell models for small deformations.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...