Skip to main content

Stress Analysis of Backup Rolls in a Wide-Strip Hot Mill Using a Modeling Method


This paper reviews the possibilities of numerical modeling for assessing the stress of backup rolls in a 2000 continuous wide-strip hot mill. Using the finite element method implemented in the SIMULIA Abaqus system, the maximum stresses in the contact area between rolls are found to occur at the beginning of chamfers. The increase in the length of chamfers is demonstrated to reduce stresses at the body edges and slightly decrease stresses at the transition point of a flat body to a chamfer. Based on the studies conducted so far, it is proposed to use backup rolls with a chamfer length of 300 mm and a chamfer depth of up to 1 mm, if the contact length of work and backup rolls coincides with the width of rolled strips contributing the largest share in the product range of a 2000 mill at PJSC Severstal.

This is a preview of subscription content, access via your institution.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.


  1. Tret’yakov, A.V., Garber, E.A., and Davletbaev, G.G., Raschet i issledovanie prokatnykh valkov (Calculation and Analysis of Mill Rolls), Moscow: Metallurgiya, 1976.

  2. Salganik, V.M., Mathematical modeling of deformations and loads of the quarto roller system to increase its durability and the quality of rolled strips, in Puti razvitiya mashinostroitel’nogo kompleksa Magnitogorskogo metallurgicheskogo kombinata. Vyp. 2. Prokatnye valki (Prospective Development of Machine Engineering Complex of Magnitogorsk Metallurgical Plant, No. 2: Rolling Rolls), Magnitogorsk: MiniTip, 1996, pp. 120–128.

  3. Konovalov, Yu.V., Ostapoenko, A.L., and Ponomarev, V.I., Raschet parametrov listovoi prokatki: spravochnik (Calculation of Parameters of Sheet Rolling: Handbook), Moscow: Metallurgiya, 1986.

  4. Polukhin, V.P., Matematicheskoe modelirovanie i raschet na EVM listovykh prokatnykh stanov (Mathematical Modeling and Automatic Calculation of Sheet Rolling Mills), Moscow: Metallurgiya, 1972.

  5. Grigoryan, G.G., Zheleznov, Yu.D., Chernyi, V.A., et al., Nastroika, stabilizatsiya i kontrol’ protsessa tonkolistovoi prokatki (Adjustment, Stabilization, and Control of Thin-Sheet Rolling), Moscow: Metallurgiya, 1975.

  6. Rumyantsev, M.I. and Kolybanov, A.N., Simplifying the calculation of the deformation of rolls and profile of a strip during rolling in a quarto stand, Klibrovochnoe Byuro, 2018, no. 12, pp. 18–21.

  7. Bolobanova, N.L., The development of the finite element method to improve the accuracy of modeling of elastic deformations, roll counturing, and cross-section strip on broadband mills, Materialy I mezhdunarodnoi nauchno-tekhnicheskoi konferentsii “Nauchno-tekhnicheskii progress v chernoi metallurgii–2013” (Proc. I Int. Sci.-Tech. Conf. “Scientific and Technical Progress in Ferrous Metallurgy–2013”), Cherepovets: Cherepovetsk. Gos. Univ., 2013, pp. 37–43.

  8. Voskan’yants, A.A., Calculation of the stress-strain state of the roller system of the quarto 2500 stand, Proizvod. Prokata, 2001, no. 5, pp. 35–38.

  9. Bochektueva, E.B., Numerical determination of the stress-strain state in the rolls and the anti-bending forces in the four-roll stand of the rolling mill, Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Ser. Mashinostr., 2010, no. 1, pp. 45–53.

  10. Antonov, P.V., Bolobanova, N.L., and Kozhevnikova, I.A., Roller stress and strain in a broad-strip cold-rolling mill, Steel Transl., 2019, vol. 49, no. 5, pp. 339–344.

    Article  Google Scholar 

  11. Borovik, L.I. and Dobronravov, A.I., Tekhnologiya podgotovki i ekspluatatsii valkov tonkolistovykh stanov (Technology of Preparation and Operation of Rolls of Thin-Sheet Mills), Moscow: Metallurgiya, 1984.

  12. Garber, E.A. and Kozhevnikova, I.A., Teoriya prokatki: uchebnik dlya vuzov (Theory of Rolling: Manual for Higher Education Institution), Staryi Oskol: TNT, 2017.

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to N. L. Bolobanova.

Additional information

Translated by N. Bogacheva

About this article

Verify currency and authenticity via CrossMark

Cite this article

Bolobanova, N.L., Garber, E.A. & Ermushin, D.Y. Stress Analysis of Backup Rolls in a Wide-Strip Hot Mill Using a Modeling Method. Steel Transl. 51, 899–902 (2021).

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI:


  • backup roll
  • hot mill
  • roll system
  • finite element method
  • roll stresses