A New Rolling Pressure Model for An Actual Reversing Cold Rolling Strip Mill


Department of Mechanical Engineering, Mobarakeh branch, Islamic Azad University, Mobarakeh, Isfahan, Iran


The forging model for cold rolling is one of the rolling models which is used in rolling calculations. In this model, the final rolling pressure is an average value and it is not as accurate for actual and industrial cases. Also, by using forging model, friction hill curves are plotted due to the central point of rolling bite length while frictional stresses intersect at the neutral point of rolling bite. In this study, a new model based on the forging model is presented to determine the rolling pressure during cold rolling process for using in a reversing tandem mill, where this is called “Improved forging model”. In the proposed model, the intersection of the frictional forces is the neutral point. Finally, the computing results from this new model coincide well with the precedent investigations.


[1]      Montmitonnet, P., E. Massoni, M. Vacance, G. Sola, P. Gratacos, “Modelling for geometrical control in cold and hot rolling”, Iron making Steelmaking 20, 1993, pp. 254-260.

[2]      Fleck, N. A., Johnson, K. L., Mear, M. E., and Zhang, L. C., “Cold rolling of foil”, Proc. Inst. Mech. Eng. Part B: J. Eng. Manuf. 206, 1992, pp. 119-131.

[3]      Zhang, L. C., “On the mechanism of cold rolling thin foil”, J. Mach. Tools Manuf. 35, 1995, pp. 363-372.

[4]      Sutcliffe, M. P. F., Rayner, P. J., “Experimental measurements of load and strip profile in thin strip rolling”, Int. J. Mech. Sci. 40, 1998, pp. 887-899.

[5]      Matsumoto, H., “Elastic-plastic theory of cold and temper rolling”, Proceedings of the Eighth International Conference on Technol. Plast., Verona, Italy, October 9–13, 2005, pp. 521-522.

[6]      Jiang, Z. Y., Tieu, A. K., Zhang, X. M., Lu, C., and Sun, W. H., “Finite element simulation of cold rolling of thin strip”, J. Mater. Proc. Technol. Vol. 140, 2003, pp. 542-547.

[7]      Jiang, Z. Y., Tieu, A. K., “Elastic-plastic finite element method simulation of thin strip with tension in cold rolling”, J. Mater. Proc. Technol. Vol. 130-131, 2002, pp. 511–515.

[8]      Von Karman, T., “On the theory of rolling”, Z. Angew. Math. Mech, Vol. 5, 1925, pp. 139-141.

[9]      Orowan, E., “The calculation of roll pressure in hot and cold flat rolling”, Proc. Inst. Mech. Eng. 150, 1943, pp. 140–167, J. Eng. Manuf. 206, 1992, pp. 119-131.

[10]   Bland, D. R., Ford, H., “The calculation of rolls force and torque in cold strip rolling with tensions”, Proc. Inst. Mech. Eng., Vol. 159, 1948, pp. 144-153.

[11]   Bland, D. R., Sims, R. B., “A note on the theory of rolling with tensions”, Proc. Inst. Mech. Eng., Vol. 167, 1953, pp. 371–374

[12]   Alexander, J. M., “On the theory of rolling”, Proc. R. Soc. Lond. A 326, 1972, pp. 535–563.

[13]   Hitchcock, J. H., “Roll Neck Bearings”, Report of ASME Research Committee, 1935.

[14]   Fleck, N. A., Johnson, K. L., Mear, M. E., Jhang, L. C., “Cold rolling of foil”, Proc. Inst. Mech. Eng. 206, 1992, pp. 119–131.

[15]   Dixit, U. S., Dixit, P. M., “A finite element analysis of flat rolling and application of fuzzy set theory”, Int. J. Mach. Tools Manuf. 36, 1996, pp. 947–952.

[16]   Jingyu Shi, D. L. S., McElwain, Langlands, T. A. M., “A comparison of methods to estimate the roll torque in thin strip rolling”, Int. J. Mech. Sci. 43, 2001, pp. 611–630.

[17]   Schey, J. A., “Tribology in Metalworking Friction, Lubrication and Wear”, American Society of Metals, Metals Park, OH, 1983, pp. 27–130.

[18]   Tan, X., “Friction of plasticity: application of the dynamic friction model”, Proceedings of the Institution of Mechanical Engineers Part J. J. Eng. Tribol. 221, 2007, pp. 115–131.

[19]   Li, E. B. “Application of digital image correlation technique to dynamic measurement of the velocity field in the deformation zone in cold rolling”, optics and laser in engineering 39, 2003, pp. 479-488.

[20]   Heydari Vini, M., Ebrahimi, H., Ziaeimoghadam, H. R., and Jafarian, M., “A new approach to determine  the friction hill curves ,rolling load and analysis of permanent failure of work rolls in an actual cold rolling”, International Conference on Materials Heat Treatment (ICMH 2012), Islamic Azad University, Majlesi Branch, May 30-31, 2012, Isfahan, Iran.

[21]   Moshksari, M., “Fundamentals of rolling”, 2nded., Shiraz University, 2005, Chaps. 5, 6, 8.

[22]   Kumar, A., Samarasekera, I. V., and Hawbolt, E. B., “Roll-bite deformation during the hot rolling of steel strip”, Journal of Materials Processing Technology, Vol. 30, 1992, pp. 91–114.

[23]   LARKE, E. C., “The rolling of strip, sheets and plate”, science paperback edition, London, 1967, pp. 71-126.