Interacting percolation thresholds in three—phase particulate dielectric composites

摘要

The homogenization of three-phase particulate dielectric composites provides the setting for our theoretical study. We implement an extension of the widely used Bruggeman homogenization formalism which takes account of the sizes, shapes, and orientations of the component particles. Thereby, the relationships between the geometric attributes of the component particles and the constitutive parameters of the homogenized composite are investigated. In particular, we consider interactions between percolation thresholds associated with conducting and nonconducting component particles. Anisotropies in percolation thresholds and their interactions are explored via numerical examples.