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Rigorous derivation of nonlinear plate theory and geometric rigidity

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UNSPECIFIED (2002) Rigorous derivation of nonlinear plate theory and geometric rigidity. COMPTES RENDUS MATHEMATIQUE, 334 (2). pp. 173-178. ISSN 1631-073X

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Abstract

We show that nonlinear plate theory arises as a P-limit of three-dimensional nonlinear elasticity. A key ingredient in the proof is a sharp rigidity estimate for maps v : (0, 1)(3) --> R-3. We show that the L-2 distance of delv from a single rotation is bounded by a multiple of the L-2 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: 30 January 2002
Volume: 334
Number: 2
Number of Pages: 6
Page Range: pp. 173-178
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/10964

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