Author Contributions
Conceptualization, J.G.Z. and G.C.B.; methodology, X.S.; investigation, J.G.Z., X.S., G.C.B., H.H., H.Q.; data curation, J.G.Z., X.H., H.Q.; writing—original draft preparation, J.G.Z.; writing—review and editing, J.G.Z., G.C.B. All authors have read and agreed to the published version of the manuscript.
Funding
This research received no external funding.
Acknowledgments
The authors gratefully acknowledge the material and lab support of Fiat Chrysler and Oakland University.
Conflicts of Interest
The authors declare no conflict of interest.
References
- Bhadeshia, H.K.D.H. Bainite in Steel, 2nd ed.; Institute of Materials: London, UK, 1992. [Google Scholar]
- Davenport, E.S.; Bain, E.S. Transformation of austenite at constant subcritical temperature. Trans. Am. Inst. Min. Metall. Eng. 1930, 90, 117–154. [Google Scholar]
- Gibbs, J.W. A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. transactions of the connecticut academy of arts and sciences 2. Trans. Connecticut Acad. Arts Sci. 1873, 2, 382–404. [Google Scholar]
- Bhadeshia, H.K.D.H.; Edmonds, D.V. The mechanism of bainite formation in steel. Acta Metall. 1980, 28, 1265–1273. [Google Scholar] [CrossRef]
- Liu, Z.; Ågren, J. On the transition from local equilibrium to para equilibrium during the growth of ferrite in Fe-Mn-C austenite. Acta Metall. 1989, 37, 3157–3163. [Google Scholar]
- Avrami, M. Kinetics of phase change. I. General theory. J. Chem. Phys. 1939, 7, 1103–1132. [Google Scholar] [CrossRef]
- Arrhenius, S.A. Uber die Dissociationswarme und den Einfluss der temperature auf den Dissociationsgrad der Elektrolyte. Z. Phys. Chem. 1889, 4, 96–116. [Google Scholar] [CrossRef] [Green Version]
- Bhadeshia, H.K.D.H. Atomic mechanism of the bainite transformation. HTM J. Heat Treatm. Mat. 2017, 6, 340–345. [Google Scholar] [CrossRef] [Green Version]
- Caballero, F.G.; Roelofs, H.; Hasler, S.; Capdevila, C.; Chao, J.; Cornide, J.; Garcia-Mateo, C. Influence of bainite morphology on impact toughness of continuously cooled cementite free bainitic steels. Mater. Sci. Technol. 2012, 28, 95–102. [Google Scholar] [CrossRef] [Green Version]
- Matas, S.J.; Hehemann, R.H. The structure of bainite in hypoeutectoid steel. Trans. Metall. Soc. AIME 1961, 221, 179–185. [Google Scholar]
- Hehemann, R.F. Phase Transformation; ASM: Metals Park, OH, USA, 1970; pp. 397–432. [Google Scholar]
- Jung, Y.C.; Ohmori, Y.; Nakai, K.; Ohtsubo, H. Bainite transformation in a silicon steel. ISIJ Int. 1997, 37, 789–806. [Google Scholar] [CrossRef]
- Goldstein, H.; Aronson, H.I. Overall reaction kinetics and morphology of austenite decomposition between nose and Ms of a Hypereutectoid Fe-C-Cr alloy. Metall. Mater. Trans. A 1990, 22, 1465–1478. [Google Scholar] [CrossRef]
- Bhadeshia, H.K.D.H. The lower bainite transformation and the significance of carbide precipitation. Acta Metall. 1980, 28, 1103–1114. [Google Scholar] [CrossRef]
- Cui, G.; Zhang, Y.; Shi, C. Research on bainite-matrix TRIP steel produced by fully austenitezed heat treatment. Revista de la Facultad de Ingenieria U.C.V 2017, 32, 535–541. [Google Scholar]
- Lawrynowicz, Z. Rationalization of Austenite transformation to upper or lower bainite in steels. Adv. Mater. Sci. 2014, 14, 14–23. [Google Scholar] [CrossRef] [Green Version]
- Navarro-Lopez, A.; Sietsma, J.; Santofimia, M.J. Effect of pre-existing martensite in a low-C high-Si steel. In Proceedings of the International Conference on Solid Phase Transformation in Inorganic Materials, Whistler, BC, Canada, 28 June–3 July 2015; pp. 1155–1156. [Google Scholar]
- Khana, Y.P.; Tyalor, T.J. Comments and recommendations on the use of the Avrami equation for Physico-Chemical Kinetics. Polym. Eng. Sci. 1988, 28, 1042–1045. [Google Scholar] [CrossRef]
- Bosze, W.P.; Trivedi, R. On the kinetic expression for the growth of precipitate plates. Metall. Trans. 1974, 218, 511–512. [Google Scholar] [CrossRef]
- Ko, T.; Cottrell, S.A. The formation of bainite. J. Iron Steel Inst. 1952, 172, 307–313. [Google Scholar]
- Quidort, D.; Brechet, Y.J.M. A model of isothermal and non isothermal transformation kinetics of bainite in 0.5 C steel. ISIJ Int. 2002, 42, 1010–1017. [Google Scholar] [CrossRef]
- Milosan, I. Aspects about the kinetics and thermodynamic transformation of a special S.G. cast iron. In Proceedings of the 6th International DAAAM Baltic Conference, Tallinn, Estonia, 24–26 April 2008. [Google Scholar]
- Bhadeshia, H.K.D.H. Comments on “Bainite formation kinetics in high carbon alloyed steel”. Scr. Mater. 2008, 59, 1275–1276. [Google Scholar] [CrossRef]
- Augis, J.A.; Bennett, J.E. Calculation of the Avrami parameters for heterogeneous solid state reaction using a modification of Kissinger method. J. Therm. Anal. 1978, 13, 283–292. [Google Scholar] [CrossRef]
- Takahashi, M.; Bahadshhia, H.K.D.H. Model for transition from upper bainite to lower bainite. Mater. Sci. Technol. 1990, 6, 592–603. [Google Scholar] [CrossRef]
- Rees, G.I.; Bhadeshia, H.K.D.H. Bainite transformation kinetics Part 1: Modified model. Mater. Sci. Technol. 1992, 8, 985–993. [Google Scholar] [CrossRef]
- Zarudi, I.; Zhang, L.C. Modelling the structure changes in quenchable steel subjected to grinding. J. Mater. Sci. 2002, 37, 4333–4341. [Google Scholar] [CrossRef]
- Liu, C.; Di, X.; Chen, C.; Guo, X.; Xue, Z. A bainite transformation kinetics model and its application to X70 pipeline steel. J. Mater. Sci. 2015, 50, 5079–5090. [Google Scholar] [CrossRef]
- Hesse, O.; Kapusyna, A.; Brykov, M. Kinetics of isothermal transformation of high-carbon low alloyed austenite and its microstructure after such treatment. In Proceedings of the 8th International Conference on Material Technologies and Modeling MMT-2014, Ariel, Israel, 28 July–1 August 2014; pp. 186–194. [Google Scholar]
- Hillert, M.; Hoglund, L.; Agren, J. Role of carbon and alloying elements in the formation of bainite ferrite. Metall. Mater. Trans. 2004, 35A, 3693–3700. [Google Scholar] [CrossRef]
- Kaptio, A.; Stumpf, W.; Papo, M.J. The role of alloying elements in bainitic rail steels. J. S. Afr. Inst. Min. Metall. 2013, 113, 67–72. [Google Scholar]
- Qin, X.; Cui, S.; An, W. Low temperature bainitic transformation behavior and microstructure & mechanical properties of a medium carbon high strength steel for railway forged center plate. In Proceedings of the 8nd International Conference on Physical and Numerical Simulation of Materials Processing, ICPNS’16 Seattle Marriott Waterfront, Seattle, WA, USA, 14–17 October 2016. [Google Scholar]
- Dischino, A. Analysis of phase transformation in high strength low-alloyed steels. Metalurgija 2017, 56, 349–352. [Google Scholar]
- Jacques, P.; Girault, E.; Van Humbeeck, J.; Aernoudt, E.; Delannay, F. Experimental characterization of the bainitic transformation kinetics of residual austenite in Mn-Si TRIP assisted multiphase steels. J. Phys. IV France 1997, 7, 459–462. [Google Scholar] [CrossRef] [Green Version]
- Goulas, C.; Mecozzi, M.G.; Sietsma, J. Bainite formation in medium-carbon low-silicon spring steels accounting for chemical segregation. Metall. Mater. Trans. A 2016, 47, 3077–3087. [Google Scholar] [CrossRef] [Green Version]
- Kang, S.; Yoon, S.; Lee, S. Prediction of bainite start temperature in alloy steels with different grain size. ISIJ Int. 2014, 54, 997–999. [Google Scholar] [CrossRef] [Green Version]
- Ravi, A.M.; Sietsma, J.; Santofimia, M.J. Exploring bainite formation kinetics distinguishing grain-boundary and autocatalytic nucleation in high and low-Si steels. Acta Mater. 2016, 105, 155–164. [Google Scholar] [CrossRef] [Green Version]
- Kang, M.; Zhang, M.; Liu, F.; Zhu, M. Overall transformation energy of isothermal transformation in metal alloy and its mechanism. Acta Metall. Sinica 2009, 45, 25–31. (In Chinese) [Google Scholar]
- Kang, M.; Zhang, M.; Liu, F.; Zhu, M. Kinetics and morphology of isothermal transformations at intermediate temperature in 15CrMnMoV steel. Mater. Trans. 2009, 50, 123–129. [Google Scholar] [CrossRef] [Green Version]
- Garcia-Mateo, C.; Paul, G.; Somani, M.C.; Porter, D.A.; Bracke, L.; Latz, A.; Garcia De Andres, C.; Caballero, F.G. Transferring nanoscale bainite concept to lower C contents: A perspective. Metals 2017, 7, 159. [Google Scholar] [CrossRef] [Green Version]
- Claesson, E. Development of a Heat Treatment Method to Form a Duplex Microstructure of Lower Bainite and Martensite in AISI 4140 Steel. Master’s Thesis, Royal Institute of Technology, Stockholm, Sweden, 2014. [Google Scholar]
- Denis, S.; Sjostrom, S.; Simon, A. Coupled temperature, stress, phase transformation calculation model numerical illustration of the internal stresses evolution during cooling of a eutectoid carbon steel cylinder. Metall. Mater. Trans. A 1987, 18A, 1203–1212. [Google Scholar] [CrossRef]
- Bhadeshia, H.K.D.H.; Waugh, A.R. Bainite: An atom-probe study of the incomplete reaction phenomenon. Acta Metall. 1982, 30, 775–784. [Google Scholar] [CrossRef]
- Trzaska, J. Calculation of critical temperature by empirical formulas. Arch. Metall. Mater. 2016, 61, 981–986. [Google Scholar] [CrossRef]
- Ohtani, H.; Okaguchi, S.; Fujishiro, Y.; Ohmori, Y. Morphology and properties of low-carbon steel. Metall. Trans. 1990, 21, 877–888. [Google Scholar] [CrossRef]
- Vasudevan, P.; Graham, L.W.; Axon, H.J. The kinetics of bainite formation in a plain carbon steel. J. Iron Steel Inst. 1958, 190, 386–391. [Google Scholar]
- Umemoto, M.; Horiuchi, K.; Tamura, I. Transformation Kinetics of bainite during isothermal holding and continuous cooling. Trans. ISIJ 1982, 22, 854–861. [Google Scholar] [CrossRef] [Green Version]
- Gegner, J.; Vasilyev, A.A.; Wilbrandt, P.J.; Kaffenberger, M. Alloy dependence of the diffusion coefficient of carbon in austenite and analysis of carburization profiles in case hardening of steels. In Proceedings of the 7th International Conference on Mathematical Modeling and Computer Simulation of Material Technologies (MMT-2012), Ariel, Israel, 22–25 October 2013; pp. 261–287. [Google Scholar]
- Agren, J. Revised expression for the diffusivity of carbon in binary Fe-C austenite. Scr. Mater. 1986, 20, 1507–1510. [Google Scholar]
- Caballero, F.G.; Santofimia, M.J.; Garcia-Mateo, C.; De Andres, C.G. Time-temperature-transformation diagram within the bainite temperature range in a medium carbon steel. Mater. Trans. 2004, 45, 3272–3281. [Google Scholar] [CrossRef] [Green Version]
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