A 2D modeling of textile composites is studied. The modeling is applicable
to woven textile composites with flat fibers, used as reinforcing fibers of
composite materials. Two 2D displacement fields are introduced, one for ea
ch layer of the fabric. The warp/weft interaction is taken into account by
a nonlinear functional which characterizes the frictional contact. An expli
cit form of the warp/weft contact pressure is proposed. A numerical approxi
mation of a solution of the variational problem is presented.