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The paper is dedicated to the investigation of simultaneous homogenizationand dimension reduction of textile structures as elasticity problem with anenergy in the von-K{\'a}rm{\'a}n-regime. An extension for deformations ispresented allowing to use the decomposition of plate-displacements. The limitproblem in terms of displacements is derived with the help of the unfoldingoperator and yields in the limit the von-K{\'a}rm{\'a}n plate with linearelastic cell-problems. It is shown, that for homogeneous isotropic beams in thestructure, the resulting plate is orthotropic. As application of the obtainedlimit plate we study the buckling behavior of orthotropic textiles.

Asymptotic Behavior for Textiles in von-K{\'a}rm{\'a}n regime