Abstract
The flow behavior of steels during deformation in the roll gap was simulated by means of single hit compression tests performed in the temperature range 800 °C to 1200 °C. Strain rates of 0.2 to 50 s−1 were employed on selected low-carbon steels containing various combinations of niobium, boron, and copper. The stress/strain curves determined at the higher strain rates were corrected for deformation heating so that constitutive equations pertaining to idealized isothermal conditions could be formulated. When dynamic recovery is the only softening mechanism, these involve a rate equation, consisting of a hyperbolic sine law, and an evolution equation with one internal variable, the latter being the dislocation density. When dynamic recrystallization takes place, the incorporation of the fractional softening by dynamic recrystallization in the evolution equation makes it possible to predict the flow stress after the peak. These expressions can be employed in computer models for on-line gage control during hot-rolling.
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V.B. Ginzburg:Iron Steel Eng., 1985, vol. 62, p. 21.
H. Höfgen, G. Zouhar, F. Birnstock, and J. Bathelt:4th lnt. Steel Rolling Conf., IRSID/ATS, Deauville, France, 1987, vol. 1, p. B.2.1.
D. Partington and L. Talbot:Hot Working and Forming Pro- cesses, C. M. Sellars and G.J. Davies, eds., The Metals Society, London, 1980, p. 176.
C. Devadas and I.V. Samarasekera:Ironmaking and Steel- making, 1986, vol. 13, p. 311.
S. Lička, L. Zela, E. Piontek, M. Kosar, and T. Prnka:Proc. Int. Conf. Steel Rolling, ISIJ, Tokyo, 1980, vol. 2, p. 840.
Y. Saito, T. Enami, and T. Tanaka:Trans. ISIJ, 1985, vol. 25, p. 1146.
C. Perdrix: Recherche CECA No. 7210-EA-311, IRSID, Saint- Germain-Em-Laye, France, 1987.
E. Anelli, M. Ghersi, A. Mascanzoni, M. Paolicchi, A. Aprile, F. Granato, G. Liguori, and G. Rizzo:HSLA Steels: Metallurgy and Applications, J.M. Gray, T. Ko, Zhang Shouhua, Wu Baorong, and Xie Xishan, eds., The Chinese Society of Metals, ASM, Metals Park, OH, 1986, p. 693.
P.D. Hodgson, J.A. Szalla, and P.J. Campbell:4th Int. Steel Rolling Conf., IRSID/ATS, Deauville, France, 1987, vol. 1, p. C.8.1.
. P. Choquet, B. de Lamberterie, C. Perdrix, and H. Biausser:4th Int. Steel Rolling Conf., IRSID/ATS, Deauville, France, 1987, vol. 1, p. B.5.1.
W. Roberts:Strength of Metals and Alloys, ICSMA 7, H.J. McQueen, J.-P. Baillon, J.I. Dickson, J.J. Jonas, and M.G. Akben, eds., Pergamon Press, Oxford, 1986, vol. 3, p. 1859.
T. Senuma and H. Yada:Annealing Processes—Recovery, Recrystallization and Grain Growth, N. Hansen, D. Juul Jensen, T. Leffers, and B. Ralph, eds., Risø National Laboratory, Roskilde, Denmark, 1986, p. 547.
C. M. Sellars:Hot Rolling and Forming Processes, C. M. Sellars and G.J. Davies, eds., The Metals Society, London, 1980, p. 3.
J.H. Hollomon:Trans. AIME, 1945, vol. 162, p. 268.
P. Ludwik:Elemente der Tech. Mech., Julius, ed., Springer- Verlag, Berlin, 1909, p. 32.
H.W. Swift:J. Mech. Phys. Solids, 1952, vol. 1, p. 1.
E. Voce:J. Inst. Met., 1948, vol. 74, p. 537.
U.F. Kocks, A.S. Argon, and M.F. Ashby:Progress in Materials Science, Pergamon Press, Oxford, 1975, vol. 19.
H.J. McQueen and J.J. Jonas:Plastic Deformation of Metals, R.J. Arsenault, ed., Academic Press, New York, NY, 1975, p. 393.
W. Roberts and B. Ahlblom:Acta Metall., 1978, vol. 26, p. 801.
M.J. Luton and C.M. Sellars:Acta Metall., 1969, vol. 17, p. 1033.
C. M. Sellars and W.J. McG. Tegart:Acta Metall., 1966, vol. 14, p. 1136.
R.W. Cahn:Physical Metallurgy, R.W. Cahn, ed., Wiley, New York, NY, 1965, p. 925.
C. M. Sellars:Phil. Trans. R. Soc. London A, 1978, vol. 288, p. 147.
R.A.P. Djaic and J.J. Jonas:Metall. Trans., 1973, vol. 4, p. 621.
H. Tamehiro, M. Murata, and R. Habu:Trans. ISIJ, 1987, vol. 27, p. 120.
A. Laasraoui: M.Sc. Thesis, Université Laval, Québec, 1987.
R. Kopp, M.M. DeSouza, and C. M. Rogall:4th Int. Steel Roll- ing Conf., IRSID/ATS, Deauville, France, 1987, vol. 2, p. F.15.1.
D.L. Baragar and A.F. Crawley: Division Report No. MPR/PMRL 83-28 (J), CANMET, Dept. of Energy, Mines, and Resources, Ottawa, 1983.
K.J. Irvine, F.B. Pickering, and T. Gladman:J. Iron Steel Inst., 1967, vol. 205, p. 161.
J.J. Jonas and I. Weiss:Met. Sci., 1979, vol. 13, p. 238.
L.T. Mavropoulos and J.J. Jonas:Can. Metall. Q., 1988, vol. 27, p. 235.
D.S. Wright and T. Sheppard:Met. Technol., 1979, vol. 6, p. 224.
P. Choquet, A. LeBon, C Rossard, C. Perdrix, and G. Joannes:Thermec-88, I. Tamura, ed., ISIJ, Tokyo, 1988, vol. 2, p. 729.
R. Colás and C. M. Sellars:Strength of Metals and Alloys, ICSMA 7, H.J. McQueen, J.-P. Baillon, J.I. Dickson, J.J. Jonas, and M.G. Akben, eds., Pergamon Press, Oxford, 1986, vol. 2, p. 941.
C. Teodosiu, V. Nicolae, E. Soós, and C. G. Radu:Rev. Roum. Sci. Technol.—Mech.Appl., 1979, vol. 24, p. 13.
A. Laasraoui, D.L. Baragar, and J.J. Jonas:The Effect of Micro- alloying on the Hot Working Behavior of Ferrous Alloys, 8th Process Technol. Conf., ISS, Dearborn, MI, 1988, vol. 8, p. 3.
A. Laasraoui: Ph.D. Thesis, McGill University, Montréal, 1990.
D.L. Baragar:J. Mech. Work. Technol., 1987, vol. 14, p. 295.
S.K. Samanta:Int. J. Mech. Sci., 1968, vol. 10, p. 613.
K.P. Rao and S.M. Doraivelu:J. Mech. Work. Technol., 1982, vol. 6, p. 63.
P.L. Charpentier, B.C. Stone, S.C. Ernst, and J.F. Thomas, Jr.:Metall. Trans. A, 1986, vol. 17A, p. 2227.
N.D. Ryan and H.J. McQueen:Czech. J. Phys., 1989, vol. B39, p. 458.
U.F. Kocks:J. Eng. Mater. Technol., 1976, vol. 98, p. 76.
J.J. Jonas:Acta Metall., 1969, vol. 17, p. 397.
W. Roberts:Deformation, Processing and Structure, G. Krauss, ed., ASM, Metals Park, OH, 1984, p. 109.
J.L. Uvira and J.J. Jonas:TMS-AIME, 1968, vol. 242, p. 1619.
H.J. Frost and M.F. Ashby:The Plasticity and Creep of Metals and Ceramics, Pergamon Press, Oxford, 1982.
C. M. Sellars and W.J. McG. Tegart:Acta Metall., 1966, vol. 14, p. 1136.
H. Luthy, A.K. Miller, and O.D. Sherby:Acta Metall., 1980, vol. 28, p. 169.
N.D. Ryan and H.J. McQueen:J. Mech. Work. Technol., 1986, vol. 12, p. 323.
G. Ferron and M. Mliha-Touati:Acta Metall., 1987, vol. 35, p. 1281.
M. Mliha-Touati: Doctorat ès Sciences Physiques, Université de Poitiers, Poitiers, France, 1985.
D.R. Diercks and W.F. Burke:Elevated Temperature Properties of Austenitic Stainless Steels, A.O. Schaefer, ed., ASME, New York, NY, 1974, p. 19.
S.B. Brown: Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 1987.
Y. Bergström:Mater. Sci. Eng., 1969-70, vol. 5, p. 193.
Y. Bergström and B. Aaronsson:Metall. Trans., 1972, vol. 3, p. 1951.
Y. Estrin and H. Mecking:Acta Metall, 1984, vol. 32, p. 57.
J.R. Klepaczko and C.Y. Chiem:J. Mech. Phys. Solids, 1986, vol. 34, p. 29.
A. Yoshie, H. Morikawa, and Y. Onoe:Trans. ISIJ, 1987, vol. 27, p. 425.
G. Ferron, E.L. Ouakdi, J.R. Klepaczko, and M. Mliha-Touati:Constitutive Relations and their Physical Basis, S.I. Anderson, J.B. Blide-Sorensen, N. Hansen, T. Leffers, H. Lilholt, O.B. Pedersen, and B. Ralph, eds., Risø National Laboratory, Roskilde, Denmark, 1987, p. 311.
J.R. Klepaczko:Constitutive Relations and their Physical Basis, S.I. Anderson, J.B. Blide-Sorensen, N. Hansen, T. Leffers, H. Lilholt, O.B. Pedersen, and B. Ralph, eds., Risø National Laboratory, Roskilde, Denmark, 1987, p. 387.
J.E. Bailey and P.B. Hirsch:Phil. Mag., 1960, vol. 5, p. 485.
C. M. Sellars and J.A. Whiteman:Met. Sci., 1979, vol. 13, p. 187.
F. Samuel, S. Yue, J.J. Jonas, and K.R. Barnes:ISIJ Int., 1990, vol. 30, p. 216. $
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Laasraoui, A., Jonas, J.J. Prediction of steel flow stresses at high temperatures and strain rates. Metall Trans A 22, 1545–1558 (1991). https://doi.org/10.1007/BF02667368
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DOI: https://doi.org/10.1007/BF02667368