Abstract

An exact expression is obtained for the principal dielectric constants of a macroscopically homogeneous and axially isotropic two-phase composite material. This is compared with the result obtained in the isotropic case. Upper and lower bounds are given. They are shown to be attainable and are found to depend upon the direction of the applied field. Approximate power-law formulae are derived and their applicability discussed in terms of the internal geometry of the sample. It is suggested that these approximate formulae may be usefully applied to polymer-polymer mixtures. It is further shown that except for the Looyenga third-power formula they are not applicable to isotropic samples.

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