An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution

For estimating the effective properties (elasticity, conductivity, piezoele ctricity, etc.) of composites of the matrix-inclusion type, we develop a ne w micromechanical model, the effective self-consistent scheme (ESCS), based on the three-phase model. As a simplified and explicit version of the ESCS estimate, the interaction direct derivative (IDD) estimate is further prop osed. The IDD estimate has an explicit and almost the simplest structure in comparison with other existing micromechanical estimates, with clear physi cal significance for all the involved components. It is universally applica ble for various multiphase composites of the matrix-inclusion type, for any material symmetries of matrix, inclusions and effective medium, and distri bution, shapes, orientations, and concentration of inclusions. Applications to effective elastic properties of composites with spherical inclusions an d materials damaged due to voids of various shapes and microcracks (up to a ny high microcrack density) are presented, in comparison with a number of r efined or accurate numerical simulation results. The IDD estimate seems to provide the best predictions in most of our examined cases. A further explo ration of the proposed two estimates is given by Du and Zheng (Acta Mech., (2001), in press). (C) 2001 Elsevier Science Ltd. All rights reserved.