We consider a linearly thermoelastic composite medium, which consists of a homogeneous matrix containing either a statistically inhomogeneous random or deterministic set of inclusions, when the concentration of the inclusions is a function of the coordinates (so-called functionally graded materials). The composite medium is subjected to essentially inhomogeneous loading by the fields of the stresses, temperature, and body forces (e.g., for a centrifugal load). The general integral equations connecting the stress and strain fields in the point being considered and the surrounding points are obtained for the random and deterministic fields of inclusions. In so doing, the size of a region including the inclusions acting on a separate one is finite, that is, the locality principle takes place.
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