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A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
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UNSPECIFIED (2002) A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 55 (11). pp. 1461-1506. ISSN 0010-3640
Full text not available from this repository.Abstract
The energy functional of nonlinear plate theory is a curvature functional for surfaces first proposed on physical grounds by G. Kirchhoff in 1850. We show that it arises as a Gamma-limit of three-dimensional nonlinear elasticity theory as the thickness of a plate goes to zero. A key ingredient in the proof is a sharp rigidity estimate for maps v : U --> R-n, U subset of R-n. We show that the L-2-distance of delupsilon from a single rotation matrix is bounded by a multiple of the L-2-distance from the group SO(n) of all rotations. (C) 2002 Wiley Periodicals, Inc.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS |
| Publisher: | JOHN WILEY & SONS INC |
| ISSN: | 0010-3640 |
| Date: | November 2002 |
| Volume: | 55 |
| Number: | 11 |
| Number of Pages: | 46 |
| Page Range: | pp. 1461-1506 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10553 |
Data sourced from Thomson Reuters' Web of Knowledge
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