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arXiv · 0803.0358

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

Marta Lewicka·Maria Giovanna Mora·Mohammad Reza Pakzad
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Abstract

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.

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Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad. 2008-03-04. Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity. https://arxiv.org/abs/0803.0358

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