Weighted effective-medium approximations for elastic quasisymmetric completely random composites

Abstract

The envelopes of the realizable effective-medium hierachical models contain a major central part in the middle between the available bounds on the elastic moduli of isotropic quasisymmetric inhomogeneous materials and hence are expected to cover most (if not all) the property range for the realistic quasisymmetric completely random composites, the constituents of which are combined randomly (i.e. in the utmost uncorrelated manner). A simple effective-medium approximation scheme, based on a weighted sum of the extreme models and containing a few geometric weight parameters, is proposed to describe the effective curves for the mixtures. The geometric parameters can be evaluated from the respective dilute suspension results, or from measurements of the effective properties at some proportions of the components of particular composites.