Correlation of the electromagnetic and elastic properties of composites and microgeometries corresponding with effective medium approximations

Abstract

Relationships between the effective conductivity and bulk and shear moduli of two‐component composites are presented and discussed. Some new identities amonst the geometric parameters which link together these effective properties are given. It turns out that the effective medium approximation is consistent with all the new results. This is because the approximation is exact, after certain limits have been taken, for a family of hierarchial models which are described here.