We analyze the membrane model established by Miara for nonlinearly elastic shells. In particular, we show that the associated energy functional is coercive but not sequentially weakly lower semicontinuous. To prove this last property, it is shown that the energy density is not rank-1 convex and thus not quasi-convex. The authors also consider the membrane models derived by Le Dret and Raoult, using F- convergence methods. An expression of the F-limit energy density is given in terms of the partial derivatives of the displacement, valid for certain classes of deformations. It is also shown that, for plane membranes as for membrane shells, the formal asymptotic method and the F-convergence approach coincide, provided that the singular values of the deformation gradient belong to a specific subset of R2.
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