抄録
A unified survey of existing statistical theories of heterogeneous materials is presented. The macroscopic behavior of heterogeneous materials is treated as a certain stochastic process with space parameter and discussed from the standpoint of statistical continuum theories. Attention is focused on the problem of prediction of effective physical constants of heterogeneous media in terms of physical constants and geometry of constituents. Besides classical theories of dilute suspensions, perturbation procedures and variational approaches for statistically homogeneous random materials of arbitrary phase geometry are reviewed.
