  The paper is dedicated to the investigation of simultaneous homogenization
and dimension reduction of textile structures as elasticity problem with an
energy in the von-K{\'a}rm{\'a}n-regime. An extension for deformations is
presented allowing to use the decomposition of plate-displacements. The limit
problem in terms of displacements is derived with the help of the unfolding
operator and yields in the limit the von-K{\'a}rm{\'a}n plate with linear
elastic cell-problems. It is shown, that for homogeneous isotropic beams in the
structure, the resulting plate is orthotropic. As application of the obtained
limit plate we study the buckling behavior of orthotropic textiles.
