TY - JOUR
T1 - Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
JF - Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX (2010) 253-295
Y1 - 2010
A1 - Marta Lewicka
A1 - Maria Giovanna Mora
A1 - Mohammad Reza Pakzad
AB - 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 h4, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Karman theory for plates.
UR - http://hdl.handle.net/1963/2601
U1 - 1521
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -