Three-point interpolation approximation for the macroscopic properties of isotropic two-component materials

A simple unified interpolation scheme, which involves certain three-point correlation information about the microgeometry of an isotropic two-component material, is suggested to approximate the macroscopic conductivity and elastic properties of the composite. The approximation satisfies Hashin–Shtrikman bounds as well as the three-point bounds on the effective properties, and reduces to the well-established self-consistent and matrix-mixture (Maxwell) approximations for the respective microgeometries. Applications to some high-contrast property composites illustrate the results.