The effective conductivity of elliptic inclusion with lowly and highly conducting interface model

Abstract

The solution for estimating the effective conductivity is developed for fiber-made composite conductors with imperfect interfaces between the matrix and the circle inclusions. This work proposes to extend a solution for estimating the effective conductivity of elliptic inclusion with imperfect interfaces in two-dimensional space. Based on the coated elliptic assemblage model and the Mori-Tanaka approximation, one can determine the effective conductivity of the composites for lowly and highly conducting imperfect interface models. The Mori-Tanaka approximation combined with equivalent inclusion is given in an explicit form (MTA). Besides that, the fast Fourier transform (FFT) algorithm is also developed to calculate the effective conductivity of the ellipse assemblage model with imperfect interfaces, the FFT results obtained will be compared with MTA and Hashin-Strickman (HS) bouns.