A general method for the detection and taking into account of contact-friction interactions within an assembly of fibers undergoing large deformations is suggested in this paper. It lies on the construction, in each region where contact is likely to occur, of intermediate geometries which are used to provide with both adapted contact search directions, and support for the discretization of contact problem. This method is applied to the simulation of the compression of fibrous samples with large numbers of fibers and contacts. Comparison with results of the litterature concerning different types of wool proves the efficiency of the method for the identification of the mechanical behaviour of entangled media.