Lewicka, MartaMora, Maria GiovannaPakzad, Mohammad Reza2008-10-142008-10-142008-10-14https://hdl.handle.net/11299/44216Using the notion of \Gamma-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under the assumption that the elastic energy of deformations scales like h^\beta with 2 < \beta < 4. We establish that, for the given scaling regime, the limiting theory reduces to the linear pure bending. Two major ingredients of the proofs are: the density of smooth infinitesimal isometries in the space of W^{2,2} first order infinitesimal isometries, and a result on matching smooth infinitesimal isometries with exact isometric immersions on smooth elliptic surfaces.enshell theoriesnonlinear elasticityelliptic surfacesisometric immersionscalculus of variationsGamma convergenceArticle