Electrical characteristics of three-component dielectric composites with close-packed inclusions

The electric field and effective permittivity are calculated for a two-dimensional three-component dielectric material reinforced by cylindrical fibers. A composite material with a square close packing of inclusions is considered. The field in the periodic system is investigated using the exact solution of the model problem of interaction of two dissimilar cylindrical inclusions in an external homogeneous electric field. A diagram of the relative effective permittivity is constructed.