OBRABOTKAMETALLOV Vol. 28 No. 1 2026 217 EQUIPMENT. INSTRUMENTS References 1. Pospelov I.D. Investigation of the distribution of normal contact stresses in deformation zone during hot rolling of strips made of structural low-alloy steels to increase the resistance of working rolls. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2024, vol. 26, no. 4, pp. 125–137. DOI: 10.17212/1994-6309-2024-26.4-125-137. Improving the methodology for calculating temperature stresses in working rolls under non-stationary thermal conditions in a hot rolling mill Ivan Pospelov 1, a, *, Yulia Babailova 2, b, Vadim Rumyantsev 1, c, Marina Mashchenko 1, d 1 Cherepovets State University, 5 Lunacharsky pr., Cherepovets, 162600, Russian Federation 2 PJSC Severstal, 30 Mira str., Cherepovets, 162608, Russian Federation a https://orcid.org/0009-0000-5974-5718, idpospelov@chsu.ru; b https://orcid.org/0009-0003-6718-6700, iuf.babailova@severstal.com; c https://orcid.org/0009-0004-0724-8727, vvrumiantcev@chsu.ru; d https://orcid.org/0009-0008-4391-2700, mamashchenko@chsu.ru Obrabotka metallov - Metal Working and Material Science Journal homepage: http://journals.nstu.ru/obrabotka_metallov Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science. 2026 vol. 28 no. 1 pp. 207–219 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2026-28.1-207-219 ART I CLE I NFO Article history: Received: 14 August 2025 Revised: 11 November 2025 Accepted: 14 February 2026 Available online: 15 March 2026 Keywords: Temperature stresses Unsteady temperature condition Working roll Hot rolling Continuous wide-strip mill Acknowledgements Part of this research was carried out under the operating conditions of PJSC Severstal. ABSTRACT Introduction. A signifi cant increase in productivity and intensifi cation of the technological process require taking into account the temperature conditions of the rolls in hot rolling mills. In this regard, the calculation of temperature stresses becomes particularly important for selecting optimal design parameters and technological regimes during the operation of the rolls in modern mills. Study object. The solution to the problem of calculating the temperature stresses that occur in the working rolls of hot rolling mills can be achieved by improving the existing mathematical model for cold rolling mills, which is based on the analytical solution of the diff erential heat conduction equation, taking into account that their temperature fi eld is axially symmetric. A special feature of the analytical solution is that it is not possible to set the graph of the change in the surface temperature of the rolls in advance, because it is a complex function of the rolling regimes. In advance, only the graph of the function is known, which is given in the form of a continuous angled line. In this paper, we consider an improved model based on a numerical and analytical solution of the problem of the temperature regime of the working rolls. The aim of the work is is to develop an improved method for calculating temperature stresses in the working rolls under a non-stationary thermal regime typical of continuous fi nishing groups of such mills, in order to assess their contact-fatigue strength. Material and methods of research. The study is based on the specifi ed improved numerical-analytical model and equations for calculating temperature stresses for a specifi c layer of the working roll of an operating hot rolling mill in a crosssection, taking into account its design features and the physical and mechanical parameters of its material. Results and its discussion. The advantage of the improved method of calculating temperature stresses in terms of their determination at any given time during the roll work is shown. The results of the computational experiment are presented in the form of the calculation of equivalent stresses σeq using the classical and improved methods, and a comparative assessment of the contact-fatigue strength of the working rolls using the presented methods for the actual operating mode of the fi nishing group of the current mill is performed. Based on previous studies of the thermal regime of the fi nishing group of the 2000 hot rolling mill, it is recommended to turn off the cooling collectors during pauses between strips rolling. For citation: Pospelov I.D., Babailova Yu.F., Rumyantsev V.V., Mashchenko M.A. Improving the methodology for calculating temperature stresses in working rolls under non-stationary thermal conditions in a hot rolling mill. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2026, vol. 28, no. 1, pp. 207–219. DOI: 10.17212/1994-6309-2026-28.1-207-219. (In Russian). ______ * Corresponding author Pospelov Ivan., Ph.D. (Engineering), Associate Professor Cherepovets State University, 5 Lunacharsky pr., 162600, Cherepovets, Russian Federation Tel.: +7 963 353-53-71, e-mail: idpospelov@chsu.ru
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