We discuss the limiting behavior (using the notion of Gamma-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, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Kármán theory for plates.
Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
Mora, M. G.;
2010-01-01
Abstract
We discuss the limiting behavior (using the notion of Gamma-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, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Kármán theory for plates.File in questo prodotto:
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