2-DIMENSIONAL MODELS OF FABRICS

We study different models, heterogeneous or homogenized, of a fabric w here shearing between warp and welf is taken into account. To this aim , we introduce two two-dimensional displacement fields in the areas wh ere warp and welf are superposed. If warp and welf interact through el astic forces, a classical study of functional analysis shows that the problem has one unique solution. The homogenization method of periodic media applied to this model of fabric yields different macroscopic mo dels following the strength of the coupling between warp and welf and whether the fabric is coated or not.