On simplified methods for determining the elastic constants of layered polymer composites

Abstract

The paper considers the standard layer-by-layer method for calculating composite structures. The main problems of the method are highlighted and the approaches which allow to simplify the calculation are analyzed. It is shown that the transition to trace can be used to restore the elastic constants of a monolayer on the basis of only one experiment. Simplified tensor transformations for rotating the coordinate system are considered. The conclusion about the limits of applicability of the simplified relations for different materials is made.