Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity

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We discuss the limiting behavior (using the notion of Γ-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales like h^4 (where h is the thickness of a shell), we derive a limiting theory which is a generalization of the von Kármán theory for plates.
36 pages, 1 figure

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Functional Analysis, Mathematical Physics, 74K20, 74B20

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http://salesiana.dossiersoluciones.com/handle/123456789/156122

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0358
 http://arxiv.org/abs/0803.0358

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arXiv