The Generalized Maxwell Garnett Approximation for Textured Matrix Composites with Coated Inclusions

A generalization of the Maxwell Garnett approximation for a textured matrix composite consisting of ellipsoidal inclusions with a shell is proposed; using it, an expression for an effective permittivity tensor of a given medium is obtained. It is shown that, in the case of a matrix composite with spherical inclusions in the shell, this expression coincides with the formula obtained in the generalized effective-field approximation, if the matrix is taken as the comparison medium.