Effective permittivity of ceramic-polymer composites:: Study of elementary shape

This study considers modeling of macroscopic permittivity of composites that consist of different amounts of TiO2 powder dispersed in a continous epoxy matrix (0-3 composites). The composites researched have no closed form solutions predicting their effective permittivity because the phases used have very different relative permittivity values and the inclusions can be very densely packed. The study demonstrates a method which enables fast and accurate modeling for relative permittivity values by using electrostatic Monte-Carlo simulations by three different runs for every sample with orthogonal eld directions. Numerical simulations are in very good agreement with measured permittivities. same method can be used for other materials as well. The presented method can be used for other materials as well because the modeling is based on the microstructure of the mixture.