In this paper we study the influence of morphological parameters
of composite materials on their effective mechanical properties.
The usage of composite materials for industrial applications
motivated a huge amount of publications on the subject in recent
years: they concern both experimental and modeling results. The
reason for us to address the question is twofold as well: on the
one hand we explore the existing modeling techniques, on the
other hand we have in mind very concrete applications related to
the project in the industry of aeronautics.
The need in modeling for the analysis of composite materials as
in most of the applied domains comes from the fact that experimental
work is usually expensive and difficult to carry out. It is
thus important to develop modeling approaches that are efficient,
reliable and sufficiently flexible so that the outcome can be validated
by an experiment. The strategy that we adopt here is related
to the notions of stochastic homogenization. The key idea is to consider
a sample of a composite material that is sufficiently large to
capture its behavior and compute the macroscopic