Prediction of the macroscopic behavior of multi-layered elastic composites

In this work, elastic fiber reinforced composite materials consisting of several layers are considered. Each layer is assumed to be a unidirectional composite. The interface between perfect, which means the displacement and traction through interfaces continuous. To predict overall behavior considered two step homogenization procedure first step, effective properties predicted based on Mori-Tanaka micromechanical model in second one, general matrix method constructed obtain macroscopic multi-layered composites. Analytical expressions properties, for composites constituted with arbitrary N layers, derived. combination allowed obtaining