Effective conductivity of twohyphen;phase materials consisting of long parallel cylinders

摘要

The effective conductivity sgr;eof a dispersion of long, parallel cylinders (or twohyphen;dimensional systems), distributed in a second continuous matrix phase, is determined as a function of its microscopic structure. We obtained an expression for the effective conductivity of twohyphen;dimensional systems (based on an approximate scheme) that includes the onehyphen;body and twohyphen;body terms in the cluster expansion for sgr;e. The effective conductivities of twohyphen;dimensional hard disks and squarehyphen;well particles are computed. It is found that this expression yields excellent estimates for the effective conductivity over a wide range of cylinder volume fractions, and for cases in which the cylinder to matrix phase conductivity ratios are high.