3-Dimensional Simulation of the Interior Electric Field and Macro Dielectric Constant of a Two-Phased Composite Material

The interior electric field of a two-phased composite material was simulated by using Monte Carlo and finite element methods with 3-dimensional model, from which the macro dielectric constant, em, of the material was calculated. The results show that the percentage of electric field energy stored in the low-permittivity phase to total energy calculated with 3-dimensional model is larger than that calculated with 2-dimensional model. Since the 3-dimensional model accords with the fact that the particles in real composite material are more parallel than serial connected, the simulated distribution of the electric field and em with 3-dimensional model are more accurate than with 2-dimensional model. A new equation for predicting the macro dielectric constant of a two-phased compound derivedis:, where α=(V12 + 20V1V2 + 20V1V2 +5V22)/11, V1+V2=1 and e1e2. This equation agrees well with the data from some literatures.