Eur.J.Mech. A/Solids 17, 763-788, 1998
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
In this paper linearly thermoelastic composite media are considered,
consisting of a homogeneous matrix containing a statistically homogeneous
random set of ellipsoidal uncoated or coated inclusions.
This study constitutes an extension of the theory regarding the purely
isothermal elastic case and uncoated ellipsoidal inclusions.
Effective properties (such as compliance, thermal expansion, stored
energy) and both 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 Green's function techniques and
on the generalization of the 'multiparticle effective field' method
(MEFM), previously proposed for the estimation of stress field averages
in the components.
The application of this theory is demonstrated by calculating this overall
yield surfaces of composite materials.
The influence of the coating is analyzed both by the assumption of
homogeneity of the stress field in the inclusion core and the thin-layer