Abstract
A statistical theory is given to derive the effective (or macroscopic) permittivity in the random anisotropic material from the standpoint of statistical continuum mechanics. The random medium discussed has a degree of orientational order, but does not have translational order. A equation governing the macroscopic electrostatic field can be obtained using formal perturbation methods. It is shown that the expressions for the effective permittivity are described in terms of the order parameter S of ordering in the orientation of the constituent crystals, the volume concentration of the constituent φ, and the principal values of the permittivity tensor of the crystals.
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