Homogenization relations for elastic properties of two-phase composites using two-point statistical functions

In this research we focus on studying the effect of anisotropy on the homogenization technique based on two-point statistics. We will investigate how the one-point and two-point statistical information from the microstructure can contribute in the calculation of elastic properties of isotropic and anisotropic composites. For this purpose, the homogenization relations will be studied in detail and the technique will be applied to two samples of anisotropic Al-SiC composite that were fabricated through extrusion with two different particle size ratios (PSR). The results show that two-point statistics is capable of capturing the effect of clustering of SiC particles in evaluating elastic properties for anisotropic composites. Although the two samples have the same volume fraction (difference less than 1%), the calculated elastic constants for both samples are different. The validity of the results will be investigated by direct comparison with experimental results.