Curved thin films made of second grade materials

We consider a curved thin film made of a second grade material. The behaviour of the film is described by a nonconvex bulk energy depending on the first and second order derivatives of the deformation. When the thickness of the curved film goes to zero, we show, using $Gamma$-convergence arguments that the quasiminizers of three-dimensional energy converge to the minimizers of an energy whose grade two energy density has been $mathcal A$-quasiconvexified, depending on a two dimensional deformation and a Cosserat vector.