Weighted effective medium approximations for conductivity of random composites

摘要: Effective medium approximations are developed to estimate the conductivity of composite media that random mixtures inhomogeneities various shapes. The use dilute solution results for inclusions certain shapes embedded in effective matrix, and incorporate weight parameters reflect proportions from different component materials a mixture. Since based on differential scheme, which is realizable by hierarchical model, they never violate mathematical requirements imposed upon homogenized property including bounds. As illustrations, used interpret empirical data electrical water-saturated sedimentary rocks, thermal some multiphase dispersions metallic particles silicone rubber matrix.