Numerical Experiment for the Calculation of Normal Contact Stress in the Deformation Center when Rolling a Metal Strip

Author(s): Yavtushenko A. V.1*, Protsenko V. M.1, Bondarenko Y. V.1, Kirichenko A. G.1, Ping F. Y.2

1 Zaporizhzhia National University, 226 Soborny Ave., 69006 Zaporizhzhia, Ukraine;
2 Fujian Xiangxin Co. Ltd, Fuzhou, Fujian, China

*Corresponding Author’s Address: [email protected]

Issue: Volume 6; Issue 2 (2019)

Paper received: September 4, 2019
The final version of the paper received: December 1, 2019
Paper accepted online: December 6, 2019

Yavtushenko A. V., Protsenko V. M., Bondarenko Y. V., Kirichenko A. G., Ping F. Y. (2019). Numerical experiment for the calculation of normal contact stress in the deformation center when rolling a metal strip. Journal of Engineering Sciences, Vol. 6(2), pp. E31-E35, doi: 10.21272/jes.2019.6(2).e5.

DOI: 10.21272/jes.2019.6(2).e5

Research Area:  MECHANICAL ENGINEERING: Computational Mechanics

Abstract. The possibility of application of the program complex called Mathcad Prime 5 for calculation of normal contact stresses in the center of deformation during cold rolling of the strips is considered. The algorithm, the block-scheme and the computer program of calculation of the normal contact stresses during rolling of the strips on the reverse mill 1680 PJSC “Zaporizhstal” are developed. The epures were constructed and a comparative analysis of the formulas used to calculate the normal contact stresses in the deformation center was carried out. Received calculation data in Mathcad Prime 5 coincides with the literary data, which has practical value for both educational process and research and design work. Based on the analysis of the contact stress epures, it can be concluded that the most accurate calculation of the total metal pressure on the rolls during cold rolling is possible only when the formulas used to consider the change in the forced yield strength in the deformation center by the law of a straight line or the parabolic law.

Keywords: CAD, CAE, block-crankcase, 3D model, casting defect.


  1. Panjkovic, V. (2014). Friction and the Hot Rolling of Steel (2nd ed.). Boca Raton, FL: CRC Press.
  2. Lee, W., Kwak, J., Park, C. (1996). A new approach to predict rolling forces in the tandem cold rolling mill. In Proc. 2nd International Conference on Metal Rolling Processes. London, pp. 473–477.
  3. Ginzburg, V., Ballas, R. (2000). Fundamentals of Flat Rolling. Marcel Dekker, New York.
  4. Hensel, A., Spittel, T. (1982). Kraft-und Arbeitsbedarf bildsamer Formgebungs-verfahren. VEB Deutscher Verlag fur Grund-stoffindustrie, Leipzig.
  5. Nikolaev, V. (2018). Napryazheniya, deformatsii i sluzhba valkov v kleti kvarto. Monografiya. ZGIA, Zaporozhe.
  6. Nikitin, G. (2009). Teoriya nepreryivnoy prodolnoy prokatki. Uchebnoe posobie. MGTU im. Baumana, Moscow.
  7. Himich, G. (1972). Mehanicheskoe oborudovanie tsehov holodnoy prokatki. Mashinostroenie, Moscow.
  8. Zabelin, I., Protsenko, V. (2003). Status of non-ferrous metal industry in Ukraine and problems in its development. Metallurgicheskaya i Gornorudnaya Promyshlennost, Issue 4, pp. 75–78.
  9. Sereda, B., Kruglyak, I., Zherebtsov, A. and Belokon, Y. (2011). The influence of deformation process at titan aluminides retrieving by SHS-compaction technologies. Metallurgical and Mining Industry, Vol. 3, pp. 59–62.
  10. Vasilchenko, T., Yavtushenko, G., Bondarenko, Y., Belokon, Y. (2015). Calculation of planetary drive of mechanical press. Metallurgical and Mining Industry, 7 (12), pp. 178–182.
  11. Shestakov, N. (2008). Raschetyi protsessov obrabotki metallov davleniem v Mathcad (reshenie zadach energeticheskim metodom). Uchebnoe posobie. MGIU, Moscow.

Full Text