Existence theorems for two-dimensional linear shell theories |
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| Authors: | M. Bernadou P. G. Ciarlet B. Miara |
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| Affiliation: | (1) Institut National de Recherche en Informatique et en Automatique, Rocquencourt, 78150 Le Chesnay, France;(2) Laboratoire d'Analyse Numérique, Tour 55-65, Université Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France;(3) Département de Mathématiques, Ecole Supérieure d'Ingénieurs en Electrotechnique et Electronique, Cité Descartes, 2 Boulevard Blaise Pascal, 93160 Noisy le Grand, France |
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| Abstract: | We consider linearly elastic shells whose middle surfaces have the most general geometries, and we provide complete proofs of the ellipticity of the strain energies found in two commonly used two-dimensional models: Koiter's model and Naghdi's model.This work is part of the Project  Junctions in Elastic Multi-Structures of the Program S.C.I.E.N.C.E. of the Commission of the European Communities (ContractnSC1 * 0473-C(EDB)). |
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