Nonlinear thin plate models for a family of Ogden materials

Abstract

Nonlinear two-dimensional thin plate models are derived via a formal asymptotic procedure due to Pantz, for a family of Ogden materials proposed by Ciarlet and Geymonat (C. R. Acad. Sci. Paris, Ser. II 295 (4) (1982) 423–426). These materials are more realistic than the Saint Venant–Kirchhoff material. As a consequence, the derived models generalize those obtained for this material. To cite this article: K. Trabelsi, C. R. Acad. Sci. Paris, Ser. I 337 (2003).