Skip to main content
SpringerLink
Log in

A study of thermal-mechanical modeling of hot flat rolling

  • Published:
Journal of Materials Shaping Technology

Abstract

Mathematical modeling of the thermal and mechanical events during hot flat rolling is considered. The difficulties in arriving at accurate and consistent results are identified as those involving the boundary conditions of the process. These refer to the roll/strip heat transfer coefficient and the shape and magnitude of the roll gap contact surface. The effects of the variations of these parameters on the resulting calculations are studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H.W. Leon: “Steel Strip-Casting Program—Justification Study,” Report for the Industrial Materials Research Institute, 1987, NRC, Boucherville, Quebec, Canada.

    Google Scholar 

  2. M. Pietrzyk and J.G. Lenard: “Experimental Substantiation of Modelling Heat Transfer in Hot Flat Rolling,” Proc. 25th National Heat Transfer Conference, Houston, Texas, 1988, vol. 3, pp. 47–54.

  3. P.W. Lee, R.B. Sims, and H. Wright: “A Method for Predicting Temperatures in Continuous Hot Strip Mills,”J. Iron Steel Inst., 1963, vol. 201, pp. 270–279.

    Google Scholar 

  4. T. Seredynski: “Prediction of Plate Cooling During Rolling-Mill Operation,”J. Iron Steel Inst., 1973, vol. 211, pp. 197–203.

    CAS  Google Scholar 

  5. S. Wilmotte, J. Mignon, M. Economopoulos, and G. Thomas: “Model of the Evolution of the Temperature of the Strip in the Hot Strip Mill,”CRM, 1973, no. 36, pp. 35–44.

  6. G.F. Bryant and M.O. Heselton: “Roll Gap Temperature Models for Hot Mills,”Metals Technology, 1982, vol. 9, pp. 469–477.

    Google Scholar 

  7. G.F. Bryant and T.S.L. Chiu: “Simplified Roll Temperature Model: Convective Cooling,”Metals Technology, 1982, vol. 9, pp. 478–484.

    Google Scholar 

  8. G.F. Bryant and T.S.L. Chiu: “Simplified Roll Temperature Model: Spray Cooling and Stress Effects,”Metals Technology, 1982, vol. 9, pp. 485–492.

    Google Scholar 

  9. G.D. Lahoti, S.N. Shah and T. Altan: “Computer-Aided Analysis of the Deformations and Temperatures in Strip Rolling,”ASME, 1978,J. of Eng. Ind., vol. 100, pp. 159–166.

    Google Scholar 

  10. A.A. Tseng: “A Numerical Heat Transfer Analysis of Strip Rolling,”ASME, Journal of Heat Transfer, 1984, vol. 106, pp. 512–517.

    Article  Google Scholar 

  11. A.A. Tseng: “A Generalized Finite Difference Scheme for Convection Dominated Metal Forming Problems,”Int. J. Num. Meth. Engng., 1984, vol. 20, pp. 1885–1900.

    Article  Google Scholar 

  12. A.N. Karagiozis: MSc.E. Thesis, 1986, University of New Brunswick, Fredericton, Canada.

    Google Scholar 

  13. A.N. Karagiozis and J.G. Lenard: “Temperature Distribution in a Slab During Hot Rolling,”ASME, Journal of Engineering Materials and Technology, vol. 110, pp. 17–21.

  14. Th. von Karman: “Beitrag zur Theorie des Walzvorganges,”Z. Angew. Math. Mechanik, 1925, vol. 5, pp. 139–142.

    Google Scholar 

  15. E. Orowan: “The Calculation of Roll Pressure in Hot and Cold Flat Rolling,” Proc. Instn. Mech. Engrs., 1943, vol. 150, pp. 140–167.

    Article  Google Scholar 

  16. J.H. Hitchcock: “Elastic Deformation of Rolls During Cold Rolling,” 1935, ASME Research Publications.

  17. H. Ford, F. Ellis and D.R. Bland: “Cold Rolling with Strip Tensions,”J. Iron and Steel Inst., 1951, vol. 168, pp. 57–63.

    Google Scholar 

  18. D. Jortner, J.F. Osterle and D.F. Zorowski: “An Analysis of the Mechanics of Cold Strip Rolling,”Iron & Steel Eng. Yearbook, 1958, pp. 403–411.

  19. J.W. Golten: “Analysis of Cold Rolling With Particular Reference to Roll Deformation,” Doctoral dissertation, 1969, U. of Wales, Swansea.

  20. G.T. von Rooyen and W.A. Backofen: “Friction in Cold Rolling,”Journal of the Iron and Steel Institute, 1957, vol. 186, pp. 235–244.

    Google Scholar 

  21. F.A.K. Al-Salehi, T.C. Firbank, and P.G. Lancaster: “An Experimental Determination of the Roll Pressure Distribution in Cold Rolling,”Int. J. Mech. Sci., 1973, vol. 15, pp. 693–710.

    Article  Google Scholar 

  22. Lai-Seng Lim and J.G. Lenard: “Study of Friction in Cold Strip Rolling,”ASME, Journal of Engineering Materials and Technology, 1984, vol. 106, pp. 139–146.

    Google Scholar 

  23. A.N. Karagiozis and J.G. Lenard: “The Effect of Material Properties on the Coefficient of Friction in Cold Rolling,”Proc. Eurotrib 85, 1985, Lyon, France #213.

  24. D.R. Bland and H. Ford: “An Approximate Treatment of the Elastic Compression of the Strip in Cold Rolling,”J. Iron and Steel Inst., 1952, vol. 171, pp. 245–249.

    Google Scholar 

  25. R.B. Sims: “The Calculation of Roll Force and Torque in Hot Rolling Mills,”Proc. I. Mech. E., 1954, vol. 168, pp. 191–200.

    Article  Google Scholar 

  26. H. Ford and J.M. Alexander: “Simplified Hot Rolling Calculations,”J. Inst. Metals, 1964, vol. 92, pp. 397–402.

    Google Scholar 

  27. J.M. Alexander: “On the Theory of Rolling,”Proc. R. Soc. London, 1972, vol. A326, pp. 535–563.

    Google Scholar 

  28. R. Roychoudhuri and J.G. Lenard: “A Mathematical Model of Cold Rolling—Experimental Substantiation,”Proc. 1st Int. Conf. Techn. Plast., 1984, Tokyo, pp. 1138–1145.

  29. M. Pietrzyk: Walcowanie wyrobow plaskich-modele matematyczne, Metalurgia i Odlewnictwo, 1983, 97, (special issue, in Polish).

  30. J.G. Lenard: “Study of the Predictive Capabilities of Mathematical Models of Flat Rolling,”4th Int. Steel Rolling Conf., Deauville France, 1987, paper #B.4.

  31. Yhu-Jen Hwu and J.G. Lenard: “A Finite Element Study of Flat Rolling,”ASME, Journal of Engineering Materials and Technology, 1988, vol. 11, pp. 22–27.

    Google Scholar 

  32. S. Shida and H. Awazuhara: “Rolling Load and Torque in Cold Rolling,” Japan Soc. Tech. Plast., 1973, 14, pp. 267–278.

    Google Scholar 

  33. A.I. Tselikov and A.I. Grishkov: “Tieoriya Prokatki,” Metallurgiya, 1970, Moscow.

  34. M. Pietrzyk and J. Zakrzewski: “Methods to Determine Roll Elastic Flattening,” Metalurgia i Odlewnictwo, 1978, vol. 4, pp. 107–124.

    Google Scholar 

  35. A. Atreya and J.G. Lenard: “A Study of Cold Strip Rolling,”ASME, Journal of Engineering Materials and Technology, 1979, vol. 101, pp. 129–134.

    Article  Google Scholar 

  36. J.L. Lytton: “Influence of Ferromagnetic Elastic Modulus Relaxation on the Determination of Magnetic Specific Heat of Fe, Ni and Co,”Applied Physics, 1964, vol. 35, pp. 2397–2406.

    Article  CAS  Google Scholar 

  37. H.E. Boyer: Atlas of Stress-Strain Curves, ASM International, 1987, Metals Park, Ohio.

    Google Scholar 

  38. S. Shida: “Effect of Carbon Content, Temperature, and Strain Rate on Compressive Flow Stress of Carbon Steels,” Hitachi Research Lab. Report, 1974, pp. 1–9.

  39. P. Dadras and W.R. Wells: “Heat Transfer Aspects of Nonisothermal Axisymmetric Upset Forging,”ASME, Journal of Engineering for Industry, 1984, vol. 106, pp. 187–195.

    Article  Google Scholar 

  40. C. Devadas and I.V. Samarasekera: “Heat Transfer During Hot Rolling of Steel Strip,” Ironmaking and Steelmaking, 1986, vol. 13, pp. 311–321.

    Google Scholar 

  41. K. Murata, H. Morise, M. Mitsutsuka, H. Haito, T. Komatsu, and S. Shida: “Heat Transfer Between Metals in Contact and its Application to Protection of Rolls,”Trans. Iron Steel Inst. Japan, 1984, vol. 24, B309.

    Google Scholar 

  42. P.G. Stevens, K.P. Ivens, and P.K. Harper: “Increasing Work-Roll Life by Improved Roll-Cooling Practice,”Iron Steel Inst., 1971, vol. 209, pp. 1–11.

    Google Scholar 

  43. A. Silvonen, M. Malinen, and A.S. Korhonen: “A Finite Element Study of Plane Strain Hot Rolling,”Scandinavian Journal of Metallurgy, 1987, vol. 16, pp. 103–108.

    Google Scholar 

  44. R.A. Harding: PhD dissertation, 1976, University of Sheffield, Sheffield, UK.

    Google Scholar 

  45. Guo-Ji Li and S. Kobayashi: “Rigid-Plastic Finite Element Analysis of Plane Strain Rolling,”ASME, Journal of Engineering for Industry, 1982, vol. 104, pp. 55–64.

    Google Scholar 

Download references

Author information

Author notes

  1. Maciej Pietrzyk

    Present address: University of Waterloo, Canada

Authors and Affiliations

  1. University of Mining and Metallurgy, Krakow, Poland

    Maciej Pietrzyk

  2. Department of Mechanical Engineering, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    John G. Lenard

Authors
  1. Maciej Pietrzyk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. John G. Lenard
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pietrzyk, M., Lenard, J.G. A study of thermal-mechanical modeling of hot flat rolling. J. Materials Shaping Technology 7, 117–126 (1989). https://doi.org/10.1007/BF02833778

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02833778

Keywords

Search

Navigation