The foundations of classical homogenization techniques, which aim at predicting the overall
behavior of heterogeneous materials from that of their constituents, are reviewed. After …

Publisher Summary This chapter elaborates some closely related methods developed to
estimate the effective behavior of nonlinear composites with random microstructures. The …

We derive the elastic strain and stress fields in an infinite medium constituted of an n-layered
isotropic spherical inclusion, embedded in a matrix subjected to uniform stress or strain …

A method is proposed for bounding the overall properties of a class of composite materials
in terms of the properties of the individual phases and of their arrangement. It applies to …

A new technique, which allows to characterize the local strain field over a domain
representative of the microstructure of a heterogeneous material, is described. It is based on …

In the present report some basic issues of and some of the modeling strategies used for
studying static and quasistatic problems in continuum micromechanics of materials are …

These lectures describe several procedures commonly used or recently developed to
predict the overall behavior of nonlinear composites from the behavior of their individual …

One of the main specific aspects of continuum micromechanics is related to the fact that one
has generally to deal with ill-defined bodies: only partial information on the statistical …

A general theory for the homogenization of heterogeneous linear elastic materials that relies
on the concept of “morphologically representative pattern” is given. It allows the derivation of …

This work is devoted to the derivation of the elastic strain and stress fields in an infinite
medium constituted of an n-layered transversely isotropic cylindrical inclusion, surrounded …