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Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence
Authors:Gero Friesecke  Richard D James  Maria Giovanna Mora  Stefan Müller
Affiliation:1. Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK;2. Department of Aerospace Engineering and Mechanics, 107 Akerman Hall, University of Minnesota, Minneapolis, MN 55455, USA;3. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany
Abstract:We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity. To cite this article: G. Friesecke et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003).
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