Multilayer structures offer a large variety of behaviours with a great number of applications (multilayer elastomeric bearings used in earthquake engineering,...). The study of such structures submitted to large transformations is usually numeric because of its complexity. This work, that is essentially analytical, proposes a simplified model for large plane transformations. It consists of both the approximations of the stresses and kinematics, that stay rich enough in order to take into account warping of the sections. The exact values of the transformation at each interfaces are introduced in generalized kinematics so that the model is able to give an important information for the study of interfaces' phenomena. The simplified problem written with the generalized variables is, of course, still non linear but only depends on the longitudinal coordinate. In order to bring physical meaning to the model, we also study how to define generalized stresses extending to large transformations those commonly used in the classical theory of mechanical engineering. To end, one numerical scheme is described to solve the problem.