Journal of Materials Shaping Technology

, Volume 7, Issue 2, pp 117–126 | Cite as

A study of thermal-mechanical modeling of hot flat rolling

  • Maciej Pietrzyk
  • John G. Lenard
Article

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.

Keywords

Heat Transfer Coefficient Cold Rolling Contact Length Roll Force Roll Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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. 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.Google Scholar
  3. 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. 4.
    T. Seredynski: “Prediction of Plate Cooling During Rolling-Mill Operation,”J. Iron Steel Inst., 1973, vol. 211, pp. 197–203.Google Scholar
  5. 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.Google Scholar
  6. 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. 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. 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. 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. 10.
    A.A. Tseng: “A Numerical Heat Transfer Analysis of Strip Rolling,”ASME, Journal of Heat Transfer, 1984, vol. 106, pp. 512–517.CrossRefGoogle Scholar
  11. 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.CrossRefGoogle Scholar
  12. 12.
    A.N. Karagiozis: MSc.E. Thesis, 1986, University of New Brunswick, Fredericton, Canada.Google Scholar
  13. 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.Google Scholar
  14. 14.
    Th. von Karman: “Beitrag zur Theorie des Walzvorganges,”Z. Angew. Math. Mechanik, 1925, vol. 5, pp. 139–142.Google Scholar
  15. 15.
    E. Orowan: “The Calculation of Roll Pressure in Hot and Cold Flat Rolling,” Proc. Instn. Mech. Engrs., 1943, vol. 150, pp. 140–167.CrossRefGoogle Scholar
  16. 16.
    J.H. Hitchcock: “Elastic Deformation of Rolls During Cold Rolling,” 1935, ASME Research Publications.Google Scholar
  17. 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. 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.Google Scholar
  19. 19.
    J.W. Golten: “Analysis of Cold Rolling With Particular Reference to Roll Deformation,” Doctoral dissertation, 1969, U. of Wales, Swansea.Google Scholar
  20. 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. 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.CrossRefGoogle Scholar
  22. 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. 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.Google Scholar
  24. 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. 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.CrossRefGoogle Scholar
  26. 26.
    H. Ford and J.M. Alexander: “Simplified Hot Rolling Calculations,”J. Inst. Metals, 1964, vol. 92, pp. 397–402.Google Scholar
  27. 27.
    J.M. Alexander: “On the Theory of Rolling,”Proc. R. Soc. London, 1972, vol. A326, pp. 535–563.Google Scholar
  28. 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.Google Scholar
  29. 29.
    M. Pietrzyk: Walcowanie wyrobow plaskich-modele matematyczne, Metalurgia i Odlewnictwo, 1983, 97, (special issue, in Polish).Google Scholar
  30. 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.Google Scholar
  31. 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. 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. 33.
    A.I. Tselikov and A.I. Grishkov: “Tieoriya Prokatki,” Metallurgiya, 1970, Moscow.Google Scholar
  34. 34.
    M. Pietrzyk and J. Zakrzewski: “Methods to Determine Roll Elastic Flattening,” Metalurgia i Odlewnictwo, 1978, vol. 4, pp. 107–124.Google Scholar
  35. 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.CrossRefGoogle Scholar
  36. 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.CrossRefGoogle Scholar
  37. 37.
    H.E. Boyer: Atlas of Stress-Strain Curves, ASM International, 1987, Metals Park, Ohio.Google Scholar
  38. 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.Google Scholar
  39. 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.CrossRefGoogle Scholar
  40. 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. 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. 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. 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. 44.
    R.A. Harding: PhD dissertation, 1976, University of Sheffield, Sheffield, UK.Google Scholar
  45. 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

Copyright information

© Springer-Verlag New York Inc 1989

Authors and Affiliations

  • Maciej Pietrzyk
    • 1
  • John G. Lenard
    • 2
  1. 1.University of Mining and MetallurgyKrakowPoland
  2. 2.Department of Mechanical EngineeringUniversity of WaterlooWaterlooCanada

Personalised recommendations