Study of Probabilistic Characteristics of Local Field Fluctuations in Isotropic Two Phase Composites: Conductivity Type Problems

摘要

Probability distributions of electric field and electric potential in two-phase particulate composite materials with spherical inclusions are found in the limit of small particle concentration. Additionally a method for the approximation of local fields within random statistically isotropic composites with a finite number of field fluctuations which retain potentiality is presented and an approximate solution with the variational principal for homogenization in statistical terms for three fluctuations within one phase and a homogeneous second phase is found.