Bounds on the non-local effective elastic properties of composites
The bounds of the effective elastic moduli of statistically isotropic but nonhomogeneous composite material have been obtained. The trial field chosen is appropriate for cell-like structures or binary mixtures. The bounds are dispersive as they depend upon the 'wave number ḵ' of the mean field. Hashin-Shtrikman bounds for statistically homogeneous isotropic materials follow as a special case when \(k=0\). The difference here is that these bounds involve a two-point correlation function which takes into account geometry of the material.
scientific article; zbMATH DE number 3850534