On the effective medium approximations for the properties of isotropic multicomponent matrix-based composites

摘要

From our three-point correlation bounds, which are based on minimum energy principles and Hashin-Shtrikman polarization trial fields, the polarization approximations for the effective conductivity and elastic moduli of isotropic multicomponent suspension of particles in a continuous matrix, generally in d-dimensions, have been deduced, which account for near distance inclusion-matrix interaction, but not the details of far distance inter-particle ones. The approximations, always obeying Hashin-Shtrikman bounds for isotropic multicomponent materials, are compared favourably with other approximations and finite element results.