LAUSR

Abstract A great number of numerical and theoretical models have been proposed, by several authors to estimate the effective permittivity of heterogeneous multiphase structures. The physical effective properties of both composite and nanocomposite materials are known for its depending on the composition and the arrangement of its components. Until now the existing literature is not able to take into account the effect of the geometry except the effect introduced via the depolarization factor presented by some models, which depends on the inclusion geometry and which is known only for a limited number of inclusions, with classical shapes like the disc or some regular equilateral polygons. This issue presents a limitation to study many systems with non-regular geometries. In this paper, a new model, based on the association of capacitors is presented, gives us two new bounds of the effective permittivity. The new results are compared with the existing models and the results obtained by applying the finite element method (FEM). The results of the present model are shown in good agreement with the existing data. Moreover, the new model improves considerably the calculation time compared with the finite element method.