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Convergence of Equilibria of Thin Elastic Plates – The Von Kármán Case
- DOI:
- 10.1080/03605300701629443
pages 1018-1032
Available online: 30 May 2008Abstract
We study the behaviour of thin elastic bodies of fixed cross-section and of height h, with h → 0. We show that critical points of the energy functional of nonlinear three-dimensional elasticity converge to critical points of the von Kármán functional, provided that their energy per unit height is bounded by Ch 4 (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers.
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- Citation information:
- Available online: 30 May 2008
Author affiliations
- a Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- b Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA
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