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The goal of this paper is, on the one hand, to make available a set of toolsand methods to deal with relaxation and 3D-2D passage with determinant typeconstraints, and, on the other hand, to give a complete proof of the 3D-2Dpassage by Gamma-convergence under the constraint determinant positive.

Relaxation et passage 3D-2D avec contraintes de type d\'eterminant