Microstructure Dependence of Material Properties of Composites

Effective material constants of composites depend not only on the material constants of the constituents and on their volume fractions but on the microstructure of the composite, too. A general structure dependent expression is derived for the effective dielectric constant of a binary composite as an example. Explicit results are given for typical microstructures. It is proved that all exactly solvable borderline cases are reproduced.