  An approach to the mechanical behaviour of textile composites at the scale of
their constituting fibres, using an implicit finite element simulation code, is
proposed in this chapter. The approach is based on efficient methods and
algorithms to detect and take into account contact-friction interactions
between elementary fibres. It allows one to model samples of woven textile
composites made of a few hundreds of fibres, with an elastic matrix. The
approach is employed first to determine the initial configuration of woven
fabric samples, before applying to them various loadings in order to identify
their mechanical properties under various solicitations
