Local effective thermoelastic properties of graded random structure matrixcomposites

We consider a linearly thermoelastic composite medium, which consists of a homogeneous matrix containing a statistically inhomogeneous random set of e llipsoidal uncoated or coated inclusions, where the concentration of the in clusions is a function of the coordinates (functionally graded material). E ffective properties, such as compliance and thermal expansion coefficient, as well as first statistical moments of stresses in the components are esti mated for the general case of inhomogeneity of the thermoelastic inclusion properties. The micromechanical approach is based on the Green function tec hnique as well as on the generalization of the multiparticle effective held method (MEFM), previously proposed for the research of statistically homog eneous random structure composites. The hypothesis of effective field homog eneity near the inclusions is used; nonlocal effects of overall constitutiv e relations are not considered. Nonlocal dependences of local effective the rmoelastic properties as well as those of conditional averages of the stres ses in the components on the concentration of the inclusions are demonstrat ed.