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A classification of thin shell theories
Authors:Destuynder  Philippe
Institution:(1) CNRS U.A. 850, Laboratoire de Mécanique des Milieux Continus, Ecole Centrale de Paris, Grande Voie des Vignes, 92290 Chatenay-Malabry, France
Abstract:This paper gives a modern mathematical analysis of the relationships between several, different linear shell theories. It also discusses the asymptotic role played by membrane theory. It presents theorems on the existence and uniqueness of solutions of membrane equations depending on the concavity of the surface.
Keywords:34E05  35A05  73K15  73L05
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