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Rolling and Metal Forming
ArticleName Determination of rational friction temperature in lengthwise rolling
DOI 10.17580/cisisr.2020.01.07
ArticleAuthor A. Yu. Albogachiev, A. M. Keropyan, A. A. Gerasimova, O. A. Kobelev

Institute of Machine Science named after A. A. Blagonravov (Moscow, Russia):

A. Yu. Albagachiev, Dr. Eng., Prof., Head of the "Friction, Wear, Lubrication. Tribology" Dept., E-mail:


National University of Science and Technology “MISiS” (Moscow, Russia):
A. M. Keropyan, Dr. Eng., Prof., Dept. of Engineering of Technological Equipment, E-mail:
A. A. Gerasimova, Cand. Eng., Associate Prof., Dept. of Engineering of Technological Equipment, E-mail:

JSC “RPA “CNIITNASH” (Moscow, Russia):
O. A. Kobelev, Dr. Eng., Chief Specialist, E-mail:


The paper presents the study of the process of lengthwise rolling. This process is characterized by elastic-plastic deformation, slipping friction, seizing friction, rest friction arising in the contact area between rolls and strip. The rolling process during the contact between rolls and strip is described, as well as rolling forces causing elastic deformation of metal products. The work of elastic-plastic deformation and friction is the cause of contact heat forming during lengthwise metal rolling. The contact temperature can vary depending on its value from room level (at low energy values and small deformation rates) to high temperature (at high energy values and large deformation rates). Friction during plastic deformation is described by complicated relationship, and it varies from classic friction with its dependence on l/h during rolling and upsetting. If l/h relationship is less than 0.5, seizing area spreads along whole length of curve seizing and tangential friction forces don’t reach the maximal values. If l/h relationship is 0.5–2.0, seizing areas spreads along whole length, while tangential forces reach maximal values in the entrance and exit of a roll area. It is necessary to differ average contact temperature, volumetric and temperature burst owing to discreteness of a contact area. The formulas for temperature calculation in friction conditions, depending on technical conditions, thermal, physical and mechanical properties of materials and contact geometry for parabolic case of variation of friction intensity by time, are concluded in the paper based on solution of Fourier parabolic equation of heat conductivity. The formula for calculation of the contact temperature between a roll and rolled strip is concluded. Recommendations for use of the formulas are given. If we know the optimal and experimentally found rolling temperature (it is individual for each metal), we can solve the backward task, i.e. determine the rolling procedures via presented formulas.

keywords Rolling, rolls, strip, seizing area, contact temperature, deformation, rolling intensity

1. Kolikov A. P., Romantsev B. A. Theory of metal forming: a manual. Moscow : Izdatelskiy dom MISiS. 2015. 451 p.
2. Belelyubskiy B. F., Gerasimova A. A., Khlamkova S. S. Machines and equipment for metal processing: a manual. Moscow : Izdatelskiy dom MISiS. 2019. 74 p.
3. Unksov E. P. Engineering theory of ductility. Moscow : Mashgiz. 1959. 328 p.
4. Gorbatyuk S. M., Sedykh L. V. Improving the durability of rolling-mill rolls. Metallurgist. 2010. Vol. 54. No. 5-6. pp. 299–301. DOI: 10.1007/s11015-010-9297-y.
5. Tyurin V. A., Mokhov A. I. Theory of metal forming: a manual for high schools. Volgograd : Volgogradskiy GTU. 2000. 416 p.

6. Albagachiev A. Yu., Mikheev A. V., Khasyanova D. Yu., Tananov M. A Tribological studies of lubricants. Journal of Machinery Manufacture and Reliability. 2018. Vol. 47. No. 5. pp. 464–468.
7. Albagachiev A. Yu., Keropyan A. M. Deformation processes within wheel-rail adhesion in contact area. IOP Conference Series: Materials Science and Engineering. “International Conference on Mechanical Engineering, Automation and Control Systems 2017 — Processing Equipment, Mechanical Engineering Processes and Metals Treatment”. 2018, 042048. DOI: 10.1088/1757-899X/327/4/042048.
8. Chichinadze A. V. Relationship between friction-wear and temperature parameters of loaded heteronymic and homonymic friction couples at stationary and non-stationary friction conditions. Trenie i iznos. 2000. Vol. 21. No. 2. pp. 158–167.
9. Gerasimova A. A., Radyuk A. G., Glukhov L. M. Applying coatings to the narrow walls of continuous-caster molds to improve the quality of the surface of slabs. Metallurgist. 2014. Vol. 58(5-6). pp. 397–400.
10. Keropyan A., Gorbatyuk S., Gerasimova A. Tribotechnical aspects of wheel-rail system Interaction. Procedia Engineering. 2017. Vol. 206, pp. 564–569. DOI: 10.1016/j.proeng.2017.10.517.
11. Holmberg К., Kivikyto-Reponen P., Harkisaari P., Valtonen K., Erdemir A. Global energy consumption due to friction and wear in the mining industry. Tribology International. 2017. No. 115. pp. 116–139.
12. Gerasimova A. A. Choosing the temperature conditions for the heavy plate rolling mill at Vyksa metallurgical works. Vestnik BGTU im. V. G. Shukhova. 2018. No. 10. pp. 126–131.
13. Keropyan A., Gerasimova A., Goloshapov K. Influence of the track gradient on the contact temperature at the wheel-rail zone for open-pit locomotives. International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2017). MATEC Web of Conferences. 2017. 129. 06009.
14. Zakharov A. N., Gorbatyuk S. M., Borisevich V. G. Modernizing a press for making refractories. Metallurgist. 2008. Vol. 52. No. 7-8. pp. 420–423. DOI: 10.1007/s11015-008-9072-5.
15. Terentyev D. V., Ogarkov N. N., Platov S. I., Kozlov A. V. Effect of operating modes and contact surface oil absorption on lubricant film thickness in heavy-duty friction units of metallurgical plants. Chernye metally. 2018. No. 9. pp. 60–64.
16. Malikov A. A., Markova E. V., Fomicheva N. B., Chechuga J. V. Analysis of friction surfaces of structural steels after their hardening by methods based on electrical technologies. Chernye metally. 2019. No. 5. pp. 32–36.
17. Gee A. W.. Materials research and tribology. T.N.O. news. 1971. Vol. 6. No. 8. pp. 445–451.
18. Yongjian Yang, Yunfeng Shi. Single asperity friction in the wear regime. Friction. 2018. Vol. 6. No. 3. pp. 316–З22.
19. Bast J., Gorbatyuk S. M., Kryukov I. Yu. Horizontal hcc-12000 unit for the continuous casting of semifinished products. Metallurgist. 2011. Vol. 55. No. 1-2. pp. 116–118. DOI: 10.1007/s11015-011-9399-1.
20. Gorbatyuk S. M., Pavlov S. M., Shapoval A. N. Experience in application of screw rolling mill for deforming the billets of refractory metals. Metallurg. 1998. No. 5. pp. 32–35.
21. Gerasimova A., Gorbatyuk S., Devyatiarova V. Application of gas-thermal coatings on low-alloyed steel surfaces. Solid State Phenomena. 2018. 284 SSP. pp. 1284–1290.

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