Polarization approximations for macroscopic conductivity of isotropic multicomponent materials

摘要: Abstract Hashin–Shtrikman-type polarization trial fields, constructed earlier by us to derive bounds on the effective conductivity of isotropic multicomponent materials, are used approximations for macroscopic transport property d-dimensional composites ( d = 2 or 3). The approximation contains a free parameter, which should be determined from reference model at certain volume proportions component materials theoretically, numerically, experimentally. Once appropriate parameter had been chosen, would obey Hashin–Shtrikman over all ranges materials. is expected do best near component-volume-proportion point. Numerous examples given illustrate usefulness approach.