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
We consider a linearly thermoelastic composite medium, which consists of a
homogeneous matrix containing statistically uniform random set of ellipsoidal
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
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)
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.