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

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.