A mathematical module for predicting and analyzing the drawing force is formed and verified. The process used in the current study is drawing. Geometric parameters of the deformation zone and the "selective transfer phenomenon" are also taken into consideration. The experimental verification is conducted through two tests: In the first test, the experimental blanks are cylindrical rods (steel 45, length 150 mm), and are preliminary machined by turning, and the drawplate made of steel 9xc, are used. Regular micro-relief (RMR) hardens the working surfaces of the drawplate. In the second test, the same conditions are applied except for the samples, which represent solid cylindrical billets made of steel 45 with a complicatedly modified surface layer, including a brass film, regular microgeometry, and a "servo-witte" copper film. As a result, in the first experiment, the discrepancies are in the range of -29.1% up to +23%. In the second experiment, the discrepancies are in the range of +1.38% up to +48.9%.