FFT simulations and multi-coated inclusion model for macroscopic conductivity of 2D suspensions of compound inclusions

Abstract

Article introduces the Fast-Fourier transformation method (FFT) and an ap- proximation method to calculate the conductivity of compound-inclusion composites in two dimensional space. The approximation compares tavorably with the numerical results for a number of periodic and random models over a range of volume proportions of phases, but divers at large volume proportions of the induded phases when the interractions between the inclusions are more pronoimced.