On the effective properties of matrix composites: The role of geometric factors in relation to property contrast

The effective elastic and conductive properties of matrix composites depend on two geometric factors – inhomogeneity shapes and orientation distribution – and on the property contrast between the matrix and inhomogeneities. The roles of the two geometric factors are strongly coupled; both are also coupled with the role of the property contrast. These issues are examined, with particular attention paid to the case of preferential orientation with random scatter.