Asymptotic analysis of nonlinearly elastic shells “mixed approach”

Article type: Research Article

Authors: Chacha, Djamal Ahmed^; | Miloudi, Madjda

Affiliations: Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah Ouargla, Ouargla, Algérie. E-mails: d_chacha@hotmail.com, miloudimath2@yahoo.fr

Note: [] Corresponding author: Djamal Ahmed Chacha, Département de Mathématiques et Informatique, Université Kasdi Merbah Ouargla, B.P. 511, 30000 Ouargla, Algérie. E-mail: d_chacha@hotmail.com.

Abstract: The aim of this paper is to extend the results obtained by Miara [Arch. Ration. Mech. Anal. 142 (1998), 331–353] and Lods and Miara [Arch. Ration. Mech. Anal. 142 (1998), 335–374] on the asymptotic analysis of nonlinearly elastic shells to the nonhomogeneous anisotropic case. To this end, we use the Hellinger–Reissner variational principle.

Keywords: asymptotic expansion, anisotropic shell, Hellinger–Reissner, nonlinear elasticity

DOI: 10.3233/ASY-2012-1119

Journal: Asymptotic Analysis, vol. 80, no. 3-4, pp. 323-346, 2012