Inhomogeneity of the first and second statistical moments of stresses inside the heterogeneities of random structure matrix composites

a b s t r a c t In this paper linearly thermoelastic composite media are treated, which consist of a homogeneous matrix containing a statistically homogeneous random set of heterogeneities. Effective properties (such as compliance, thermal expansion, stored energy) as well as the first statistical moments of stresses in the phases are estimated for the general case of nonhomogeneity of the thermoelastic inclusion properties. The micromechanical approach is based on the generalization of the ''multiparticle effective field'' method (MEFM, see for references Buryachenko, Appl. Mech. Rev