Estimation of Macroscopic Properties of Composites from Profile Distribution of Fibers

Abstract

Micromechanical analysis is performed to the composite material containing many misoriented reinforcements. Then macroscopic total strain and overall interaction stress occurred in the composite are expressed explicitly by considering the continuous distribution of zenithal angle of reinforcement which covers from unidirectional distribution to 2-dimensional random one via 3-dimensional random one. In the analysis, the azimuth angle and the rotation angle in the y-convention of Euler's angle are assumed to be uniform. Moreover, by introducing the stereological concept into the model, the distribution of aspect ratios of profile of reinforcement appeared in the cross section can be related with the macroscopic properties of the composite.