Zy. Fan, A MICROSTRUCTURAL APPROACH TO THE EFFECTIVE TRANSPORT-PROPERTIES OF MULTIPHASE COMPOSITES, Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties, 73(6), 1996, pp. 1663-1684
A group of physical properties, such as electrical conductivity, diele
ctric constant, magnetic permeability thermal conductivity and diffusi
on coefficient, are governed by the same form of constitutive equation
s and are therefore mathematically analogous. This group of physical p
roperties of composite materials, usually referred to as the effective
transport properties in the literature, is highly dependent upon the
statistical arrangement of their constituent phases. Consequently, a s
uccessful theoretical solution to the correlation between the effectiv
e transport property and the microstructure has to address the statist
ics of microstructural feature. In this paper a new microstructural ap
proach has been developed for predicting the effective transport prope
rties of multiphase composites. In contrast with the existing models,
the present approach can consider not only the effect of volume fracti
on but also the effects of particle shape and phase distribution. It h
as been applied to various two-phase and multiphase composites includi
ng porous materials. The theoretical predictions are in good agreement
with the experimental data drawn from the literature. It has been sho
wn that the present approach is superior to the various bounds in term
s of the accuracy of prediction and the range of applicability. Finall
y, the effect of phase contiguity on the effective transport propertie
s of two-phase composites has also been discussed. It is found that th
e effective transport properties increase with increasing phase contig
uity in a given composite system.