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MiS Preprint

Shell Theories Arising as low Energy $\Gamma$-Limit of 3D Nonlinear Elasticity

Marta Lewicka, Maria Giovanna Mora and Mohammed Reza Pakzad


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.

Mar 6, 2008
Mar 7, 2008

Related publications

2008 Repository Open Access
Marta Lewicka, Maria Giovanna Mora and Mohammad Reza Pakzad

Shell theories arising as low energy gamma-limit of 3D nonlinear elasticity