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The Foppl-von Karman plate theory as a low energy Gamma-limit of nonlinear elasticity

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UNSPECIFIED (2002) The Foppl-von Karman plate theory as a low energy Gamma-limit of nonlinear elasticity. COMPTES RENDUS MATHEMATIQUE, 335 (2). pp. 201-206. ISSN 1631-073X

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Abstract

We show that the Foppl-von Karman theory arises as a low energy Gamma-limit of threedimensional nonlinear elasticity. A key ingredient in the proof is a generalization to higher derivatives of our rigidity result [5] that for maps; v : (0, 1)(3) --> R-3, the L-2 distance of delv from a single rotation is bounded by a multiple of the L2 distance from the set SO(3) of all rotations. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: COMPTES RENDUS MATHEMATIQUE
Publisher: EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
ISSN: 1631-073X
Date: 15 July 2002
Volume: 335
Number: 2
Number of Pages: 6
Page Range: pp. 201-206
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/10049

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