On some background of micromechanics of random structure matrix composites
Abstract
We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing statistically inhomogeneous random set of heterogeneities and loaded by inhomogeneous remote loading. The new general integral equation is obtained by a centering procedure without any auxiliary assumptions such as, e.g., effective field hypothesis implicitly exploited in the known centering methods. The method makes it possible to abandon the basic concepts of classical micromechanics such as effective field hypothesis, and the hypothesis of "ellipsoidal symmetry". The results of this abandonment leads to detection of some fundamentally new effects that is impossible in the framework of a classical background of micromechanics.
Keywords
Cite
@article{arxiv.0912.1700,
title = {On some background of micromechanics of random structure matrix composites},
author = {Valeriy A. Buryachenko},
journal= {arXiv preprint arXiv:0912.1700},
year = {2009}
}
Comments
13 pages, extension of the abstract in Proceeding of the 10th U.S. National Congress for Computational Mechanics. 2009, Columbus, USA