Eur.J.Mech. A/Solids 16, 79-102, 1997
V.A. Buryachenko and F.G. Rammerstorfer
Institute of Lightweight Structures and Aerospace
TU Wien, Vienna, Austria
We consider a linear elastic composite medium, which consists of a homogeneous
matrix containing a homogeneous and statistically uniform random set of
All components of the statistical second moment tensor of the stress fields,
averaged over the volume of the components, are obtained.
The micromechanical approach is based on the Green function technique as well
as on the "multiparticle effective field" method (MEFM), previously proposed
for estimating stress field averages in the components.
The application of the theory is demonstrated by the construction of overall
yield surfaces of composite materials.
For the particular case of porous isotropic materials the comparison of
results obtained by the proposed method with other ones is shown.