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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMPTES RENDUS MATHEMATIQUE | ||||
Publisher: | EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | ||||
ISSN: | 1631-073X | ||||
Official Date: | 30 January 2002 | ||||
Dates: |
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Volume: | 334 | ||||
Number: | 2 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 173-178 | ||||
Publication Status: | Published |
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