A complete approach for the determination of the complex constitutive behaviour of textile composites through finite element simulation is presented in this paper. In this work, simulations of different loading cases are carried out on small samples of textile composites, taking into account all individual fibers of the fabric and interactions taking place between them. The most delicate issue is related to the modelling of contact-friction interactions between fibers,and the solution of the nonlinear problem that follows up by the means of robust algorithms. The efficiency of these algorithms, and the increase of capacities of high performance computing, allow to simulate samples made of several hundreds of interlocked fibers.