Mathematical Problems in Mechanics
Nonlinear thin plate models for a family of Ogden materials
Comptes Rendus. Mathématique, Volume 337 (2003) no. 12, pp. 819-824.

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.

Des modèles non linéaires bidimensionnels de plaques minces sont dérivés via une procédure asymptotique formelle mise au point par Pantz, pour une famille de matériaux de type Ogden proposée par Ciarlet et Geymonat (C. R. Acad. Sci. Paris, Ser. II 295 (4) (1982) 423–426). Ces matériaux sont plus réalistes que le Saint Venant–Kirchhoff. En conséquence, les modèles dérivés généralisent ceux obtenus pour ce matériau.

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DOI: 10.1016/j.crma.2003.10.029
Trabelsi, Karim 1

1 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 175, rue du Chevaleret, 75013 Paris, France
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Trabelsi, Karim. Nonlinear thin plate models for a family of Ogden materials. Comptes Rendus. Mathématique, Volume 337 (2003) no. 12, pp. 819-824. doi : 10.1016/j.crma.2003.10.029. http://www.numdam.org/articles/10.1016/j.crma.2003.10.029/

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