This study reviews several problems which are specific of composites with periodic
microstructure composed of linear or nonlinear constituents. The theoretical background of …

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

The local and overall responses of nonlinear composites are classically investigated by the
Finite Element Method. We propose an alternate method based on Fourier series which …

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

Micromechanics based models are considered for application to viscoplasticity and damage
in metal matrix composites. The method proposes a continuation and development of …

Some mean-field approximation methods are considered, with the objective to transfer any
arbitrary local plasticity constitutive description to an overall analytical continuum …

Elastic properties of hydrating cement paste can be successfully predicted by combination of
the hydration model, percolation theory and micromechanical analysis. Reconstruction of …

Damage initiation is an important issue to understand the mechanical behavior of ceramic
matrix composites. In the present work, a braided SiC/SiC composite tube was studied by …

An FFT framework which preserves a good numerical performance in the case of domains
with large regions of empty space is proposed and analyzed for its application to lattice …

A more efficient multiscale coupling method is developed to study the progressive damage
behavior of three dimensional (3D) braided composite beam. In the mesoscale, the fast …