Rigorous derivation of nonlinear plate theory and geometric rigidity

Friesecke, Gero; James, Richard D.; Müller, Stefan

Preprint 58/2001

Rigorous derivation of nonlinear plate theory and geometric rigidity

Gero Friesecke, Richard D. James, and Stefan Müller

Contact the author: Please use for correspondence this email.
Submission date: 30. Aug. 2001
Pages: 13
published in: Comptes rendus mathematique, 334 (2002) 2, p. 173-178
DOI number (of the published article): 10.1016/S1631-073X(02)02133-7
Bibtex
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Abstract:
We show that nonlinear plate theory arises as a -limit of three-dimensional nonlinear elasticity. A key ingredient in the proof is a sharp rigidity estimate for maps . We show that the distance of from a single rotation is bounded by a multiple of the distance from the set SO(3) of all rotations.

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Preprint 58/2001

Rigorous derivation of nonlinear plate theory and geometric rigidity

Gero Friesecke, Richard D. James, and Stefan Müller

Preprints 2001