An integrated method has been found to construct diagrams that depict the limiting stable deformation of sheets during cold-working. The method is based on estimates of the local flow of the sheet material. Stereological methods in quantitative metallography are used to analyze limiting strain state that precedes the onset of instability by examining the structural factors which are involved. It is shown that a texture analysis can be performed to help evaluate the stability of the material’s flow in thin-walled products made of multiphase steels.