Asymptotic analysis of shell-like inclusions with high rigidity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Elasticity Année : 2011

Asymptotic analysis of shell-like inclusions with high rigidity

Résumé

We study the problem of an elastic shell-like inclusion with high rigidity in a three-dimensional domain by means of the asymptotic expansion method. The analysis is carried out in a general framework of curvilinear coordinates. After defining a small real adimensional parameter ε, we characterize the limit problems when the rigidity of the inclusion has order of magnitude 1/ε and 1/ε3 with respect to the rigidities of the surrounding bodies. Moreover, we prove the strong convergence of the solution of the initial three-dimensional problem towards the solution of the simplified limit problem.
Fichier principal
Vignette du fichier
articleBKSfinal.pdf (416.86 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00790346 , version 1 (27-02-2015)

Identifiants

Citer

Anne-Laure Bessoud, Françoise Krasucki, Michèle Serpilli. Asymptotic analysis of shell-like inclusions with high rigidity. Journal of Elasticity, 2011, 103 (2), pp.153-172. ⟨10.1007/s10659-010-9278-1⟩. ⟨hal-00790346⟩
229 Consultations
161 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More