The aim of the talk is to provide a very brief introduction to the
homogenization method applied in modeling composites and porous media.
The homogenization consists in asymptotic analysis of PDEs with
rapidly oscillating coefficients corresponding to varying material
parameters over a given periodic ""microstructure"".
The periodic unfolding method is based on transforming the problem in
the two-scale domain, so that standard notions of convergence can be
used. The method will be presented when applied to homogenization of a
visco-elastic solid, yielding a new quality of the effective
constitutive law due to fading memory effects. The method is convenient
for modeling large contrast composites or double-porous media, as
demonstrated by few examples.


[Invited by Ales Janka]