Films courbés composés d'un matériaux non simple de second grade

The behavior of a curved thin film made of a nonsimple grade two material isdescribed by a nonconvex bulk energy depending on the first and second order derivatives of the deformation. We show usingΓ-convergence arguments that the quasiminimizers of the three-dimensional energy converge, when the thickness of the curvedfilm vanishes, to the minimizers of an energy which is a function of a two-dimensional deformation and of a Cosserat vector. Partof the energy density is obtained by A-quasiconvexification arguments.