ZAMP 50, 934-947, 1999


V.A. Buryachenko¹ and F.G. Rammerstorfer²

¹Department of Mathematics,
Moscow State University of Engineering Ecology, Moscow, Russia
²Institute of Lightweight Structures and Aerospace Engineering,
TU Wien, Vienna, Austria

Abstract - We consider a linearly thermoelastic composite medium, which consists of a homogeneous matrix containing statistically uniform random set of ellipsoidal coated inclusions. Effective properties (such as compliance, thermal expansion, stored energy) as well as first and second statistical moments of stresses in the components are estimated for the general case of nonhomogeneity of the thermoelastic inclusion properties. The micromechanical approach is based on the Green's function technique as well as on the generalization of the "multiparticle effective field method" (MEFM), previously proposed for the analysis of composites with homogeneous inclusions, see e.g. Buryachenko and Kreher (J.Mech.Phys.Sol. (1995) 43, 1105-1125). In the framework of the effective field hypothesis one obtains the generalization of the classical formula by Rosen and Hashin (Int.J.Engng.Sci. (1970), 8, 157-173) for composites with identical coated inclusions, which is exact for two-component composites. The application of the theory is demonstrated by the prediction of the overall yield surface of composite materials.