This paper presents an extension to a hybrid finite element boundary integral method. This method can be used to compute the scattering from 3D inhomogeneous bodies of any shape with anisotropic characteristics. The modeling of thin layers between materials by an asymptotic jump sheet impedance condition has been added to the formulation. The mathematical formulation is based upon local differential equations for the modeling of the objects. The integral equations account for the propagation in the unbounded surrounding medium and provide an exact boundary condition. A lot of results have been published on conducting or coated objects. The aim of this paper is to show that hybrid methods can model more complex objects. Results for 3D objects made of several materials, including anisotropic material or thin layers are presented.