Micromechanical Analysis for Electro-Magnetic Properties of a Composite Material Containing Double Inhomogeneous Inclusions

Abstract

Equivalent expression is derived for an ellipsoidal misfit double inclusion which consists of a nested sequence of two inhomogeneous inclusions whose electro-magnetic properties and orientations of semi axes are different from each other. The die-electric constant of the composite containing many misfit double inclusions is derived successfully by using the resultant equivalent expression. Moreover, by focusing on any inclusion in the cluster consists of many misoriented ones and by smearing out of its surroundings, the cluster can be regarded as the misfit double inclusion. Therefore, the die-electric constant of the composites containing such clusters is derived by using the same resultant equivalent expression.