Generalized DEM model for the effective conductivity of a two-dimensional percolating medium

In this paper we propose an approach for simulating the effective electrical conductivity of a two-dimensional medium containing randomly placed inclusions in an isotropic homogeneous matrix. In contrast to the commonly used methods such as DEM and EMA approximations this approach is based on the Generalized Differential Effective Medium (GDEM) method and allows us to describe the effective electrical conductivity of a composite material near the percolation threshold. The model is represented by conductive host with non-conductive (phase 1) and conductive (phase 2) inclusions placed in it. The electrical conductivity of the conductive inclusions is equal to the electrical conductivity of the host. We consider inclusions of elliptical shape. The results obtained have shown that the GDEM model describe the experimental data in the wide range of the conductive inclusion concentration and especially in the percolation threshold area.