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

Variational approaches for nonlinear elasticity show that Hill's incremental formulation for
the prediction of the overall behaviour of heterogeneous materials yields estimates which …

This paper deals with the prediction of the macroscopic behavior of a multiphase elastic–
viscoplastic material. The proposed homogenization schemes are based on an interaction …

The formulations of self-consistent schemes for elastic-plastic deformations of polycrystals
are based on the solution of an ellipsoidal inclusion embedded in an infinite matrix. Because …

This paper aims at proving that, contrary to previous contributions to the subject,
Hillsconception of the nonlinear self-consistent scheme, which has been applied in the past …

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 …

The determination of the effective behavior of heterogeneous materials from the properties
of the components and the microstructure constitutes a major task in the design of new …

This paper presents the state of the art of the theory of rock damage and healing mechanics,
with a particular emphasis on the strategies available to relate the micro-scale of crystals …

The objective of this work is to explain the origin of fatigue observed in salt rock subject to
cyclic loading. We used a self-consistent homogenization scheme to upscale the …

A micromechanical model is proposed to describe the interactions between the
microstructure and the dissipative deformation mechanisms in ferritic steels under cyclic …