  In this paper we describe efficient methods of generation of representative
volume elements (RVEs) suitable for producing the samples for analysis of
effective properties of composite materials via and for stochastic
homogenization. We are interested in composites reinforced by a mixture of
spherical and cylindrical inclusions. For these geometries we give explicit
conditions of intersection in a convenient form for verification. Based on
those conditions we present two methods to generate RVEs: one is based on the
Random Sequential Adsorption scheme, the other one on the time driven Molecular
Dynamics. We test the efficiency of these methods and show that the first one
is extremely powerful for low volume fraction of inclusions, while the second
one allows us to construct denser configurations. All the algorithms are given
explicitly so they can be implemented directly.
