An effective model for critically wrinkled arches - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Rapport Année : 2002

An effective model for critically wrinkled arches

Résumé

Within the framework of the Koiter's linear elastic shell theory, we study the limit model of a plane arch whose mid-surface is periodically waved.The magnitude and the period of the wavings are of the same order. To achieve the asymptotic analysis, we consider a mixed formulation, for which we perform a two-scale homogenization technique. We prove the convergence of the displacements, the rotation of the normal and the membrane strain. From the limit formulation, we derive an effective model for critically wrinkled arches. It has a plane effective mid-surface, but exhibits a coupling between the rotation of the normal and the membrane strain.

Domaines

Autre [cs.OH]
Fichier principal
Vignette du fichier
RR-4546.pdf (285.3 Ko) Télécharger le fichier
Loading...

Dates et versions

inria-00072042 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00072042 , version 1

Citer

Abderrahmane Habbal. An effective model for critically wrinkled arches. RR-4546, INRIA. 2002. ⟨inria-00072042⟩
83 Consultations
360 Téléchargements

Partager

Gmail Facebook X LinkedIn More