Abstract
Very often Nb contributes to the strength of a microalloyed steel beyond the expected level due to the grain size strengthening resulting from thermomechanical processing. Two different mechanisms are behind this phenomenon, and both of them have to do with the amount of Nb remaining in the solution after hot rolling. The first of them is the increase of the hardenability of the steel due to Nb, and the second one is the fine precipitation of NbC in ferrite. The contribution of the precipitates to the work hardening of two thermally and thermomechanically processed microalloyed steels is addressed in this work and this contribution has been integrated into previously developed models by the authors for ferrite–pearlite microstructures. An L eff is considered through the effective spacing associated to the different obstacles and their interactions with the moving dislocations. The model obtained shows good agreement with the experimental tensile curves from the end of yield point elongation to the onset of necking.
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References
F.B. Pickering, Microalloying ‘75, International Symposium on HSLA Steels, Union Carbide Corporation, New York, 1975, pp. 9–31.
M. Cohen, W. Owen, Microalloying ‘75, International Symposium on HSLA Steels, Union Carbide Corporation, New York, 1975, pp. 2–8
J.M. Rodríguez-Ibabe, in Materials Science Forum, vol. 500-501, Proceedings of the International Conference on Microalloying for New Steel Processes and Applications, 2005, pp. 49–62.
T. Gladman, The Physical Metallurgy of Microalloyed Steels. The Institute of Materials, London, 1997.
B. Dutta and C. M. Sellars, Materials Science and Technology, 1987, vol. 3, pp. 197-206.
W. J. Liu and J. J. Jonas, Metallurgical Transactions A, 1989, vol. 20, pp. 689-697
R. Abad, A. I. Fernandez, B. Lopez and J. M. Rodriguez-Ibabe, ISIJ International, 2001,vol. 41, pp. 1373-1382.
E. J. Palmiere, C. I. García and A. J. DeArdo, Metallurgical and Materials Transactions A, 1996, vol. 27, pp. 951-960.
O. Kwon and A. J. DeArdo, Acta Metallurgica et Materialia, 1991, vol. 39, pp. 529-538.
Q. B. Yu, Z. D. Wang, X. H. Liu and G. D. Wang, Materials Science and Engineering A, 2004, vol. 379, pp. 384-390.
S. Yamamoto, C. Ouchi, T. Osuka, in Thermomechanical Processing Of Microalloyed Austenite, A.J. DeArdo, G.A. Ratz, and P.J. Wray, eds., The Metallurgical Society of AIME, Warrendale, PA, 1982, pp. 613–39.
T. Sakuma, R.W.K. Honeycombe, Metal Science, 1984, vol. 18, pp. 449-454.
T. Sakuma, R.W.K. Honeycombe, Materials Science Technology, 1985, vol. 1, pp. 351-356.
A. Itman, K.R. Cardoso and H.J. Kestenbach, Materials Science Technology, 1997, vol. 13, pp. 49-55.
R.G. Baker, J. Nutting, Iron and Steel Institute, Special Report, No. 64, 1959.
T. Gladman: Mater. Sci. Technol., 1999, vol.15, pp. 30-36.
H.J. Kestenbach: Mater. Sci. Technol., 1997, vol. 13, pp. 731-739.
A. Kelly, R.B. Nicholson: Strengthening methods in crystals, Applied Science LTD, London, 1971.
B. Reppich, in Materials Science and Technology. A Comprehensive Treatment, vol. 6, H. Mughrabi, ed., VCH, Germany, 1993, pp. 311–57.
T. Gladman, I.D. McIvor, F.B. Pickering, JISI, 1972, 210, 916.
R. Rodriguez and I. Gutierrez, Mater. Sci. Forum, 2003, vol. 426-432, pp. 4525-4530.
I. Gutierrez, in Proceedings of the 2nd International Conference on Deformation processing and Structure of Materials, Belgrade, 26–28 May 2005, E. Romhanji, M.T. Jovanovíc, and N. Radovic, eds., AME & University of Belgrade (TMF), Belgrade, 2005, pp. 29–42
I. Gutierrez, A. Altuna, Acta Materialia, 2008, vol. 56, pp. 4682-4690
A. IZA-MENDIA, M.A. ALTUNA, B. PEREDA, and I. GUTIÉRREZ, Metall. Mater. Trans. A, 2012, vol. 43A, pp 4553-4570
A. IZA-MENDIA, M.A. ALTUNA, and I. GUTIÉRREZ, Metallurgical and Materials Transactions A, 2012, vol. 43A, pp. 4571-4586.
A. Iza-Mendia, I. Gutiérrez, Mater. Sci. Eng. A, 2013, vol. 561, pp 40–51.
I. Gutiérrez, Mater. Sci. Eng. A, 2013, vol. 571, pp 57-67.
Amaia Iza-Mendia, Isabel Gutiérrez, Mater. Sci. Forum, 2014, vol. 783-786, pp 783-788.
B. López, C. Scott, A. Rose, B. Soenen, G. Paul, Characterization and modelling of strain induced precipitation: CAMSIP. Technical Steel Research, EUR 22431 (2006).
R. L. Higginson, C. M. Sellars, Worked examples in quantitative metallography (The Institute of Materials, Minerals and Mining, London), 2003.
Taylor GI, Proceedings of the Royal Society of London 1934, 145, 362.
J. Gil-Sevillano, in Plastic Deformation and Fracture of Materials, vol. 6, R.W. Cahn, P. Haasen, E.J. Kramer, and H. Mughrabi, eds., VCH, New York, 1993, p. 19.
Kocks UF, Philosophical Magazine 1966, 13, 541.
Bergström Y, Materials Science and Engineering 1969, 5, 193.
Kocks UF, Journal of Engineering Materials and Technology 1976, 98, 76.
Mecking H, Kocks UF, Acta Metallurgica 1981, 29, 1865.
Estrin Y, Mecking H, Acta Metallurgica 1984, 32, 57.
A. Ramazani, K. Mukherjee, U. Prahl and W. Bleck, Metallurgical and Materials Transactions A, Volume 43A, October 2012, pp. 3850-3869.
G. Ferron, E.L. Ouakdi, J.R. Kleczko, M. Mliha-Touati, in Constitutive Equations and Their Physical Basis, S.I. Andersen, J.B. Bilde Sorensen, N. Hansen, T. Leffers, H. Lilholt, O.B. Pedersen, and B. Ralph, eds., RISO National Laboratory, Roskilde, Denmark, 1987, p. 311.
R. Rodriguez, I. Gutierrez, in Proceedings of the TMP’2004, M. Lamberigts, ed., Verlag Stahleisen GMBH, Düsseldorf, 2004, p. 356.
I. Gutierrez, A. Altuna, G. Paul, S.V. Parker, J.H. Bianchi, P. Vescovo, C. Mesplont, M. Wojcicki, R. Kawalla, Property Models for Mixed Microstructures, Technical Steel Research, EUR 20880, 2003.
T. Mori and K. Tanaka, Acta Metall., May 1973, vol. 21, no. 5, pp. 571–574,.
M. Berveiler and A. Zaoui, J. Mech. Phys. Solids, 1978, 26, pp. 325-344.
J.D. Eshelby, Proc. R. Soc. London, 1957, A241, 376.
G.J. Weng, J. Mech. Phys. Solids, 38, 1990, pp. 419-441.
Y. Tomota, K. Kuroki, T. Mori and I. Tamura,” Mater. Sci. Eng., 1976, vol. 24, pp. 85.
Rudiono, Y. Tomota, Acta mater., vol. 45, pp. 1923-1929, 1997.
F. Roters, D. Raabe, G. Gottstein, Acta Mater., vol. 48, pp. 4181–4189, 2000.
M. Goerdeler, G. Gottstein, Materials Science and Engineering A 2001, 309–310 pp. 377–381
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This work has been carried out with the financial support of the Spanish Ministerio de Economía y Competitividad. Proyectos I+D+i. Retos Investigación. (Project Number MAT2013-48093-R).
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Manuscript submitted November 8, 2016.
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Iza-Mendia, A., Jorge-Badiola, D. & Gutiérrez, I. Tensile Work Hardening Modeling of Precipitation Strengthened Nb-Microalloyed Steels. Metall Mater Trans A 48, 2943–2948 (2017). https://doi.org/10.1007/s11661-017-4035-8
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DOI: https://doi.org/10.1007/s11661-017-4035-8