Abstract
Several methods representing the evolution of microstructure were introduced, which include the Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation, Internal State Variable (ISV) framework, Koistinen-Marburger (K-M) equation, modified Magee’s rule and phase field model, etc. By combining calculation of martensite transformation kinetics, considering the selection of parameters with the effect of austenite grain size ( AGS), some suitable ways of obtaining better results have been proposed.
Similar content being viewed by others
References
Inoue Tatsuo, Funatani Kiyoshi, Totten George E. Process Modeling for Heat Treatment: Current Status and Future Developments [J]. Journal of Shanghai Jiao Tong University, 2000, E(5), 14–25.
Jou Herng-Jeng, Lusk Mark T. Comparison of Johnson-Mehl-Avrami-Kologoromov Kinetics With a Phase-Field Model for Microstructural Evolution Driven by Substructure Energy [J]. Physical Review B, 1997, 55(13): 8114–8121.
Robson J D, Bhadeshia H K D H. Modelling Precipitation Sequences in Power Plant Steels: Part I, Kinetic Theory [J]. Materials Science and Technology, 1997, 13: 631–639.
Lee Chan-Woo, Uhm Sang-Ho, Kim Kyoung-Min, et al. Modeling of Phase Transformation Kinetics in the Coarsened Grain HAZ of C-Mn Steel Weld Considering Prior Austenite Grain Size [J]. ISIJ International, 2001, 41(11): 1383–1388.
LIU Zhuang, ZENG Pan. Development of Thermal Process and Numerical Modeling [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 42–48.
Gottstein Guenter, Marx V, Sebald R. Integral Recrystallization Modelling [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 49–57.
Jones S J, Bhadeshia H K D H. Kinetics of the Simultaneous Decomposition of Austenite Into Several Transformation Products [J]. Acta Materialia, 1997, 45(7): 2911–2920.
XU Zu-yao. Phase Transformation Theory [M]. Beijing: Science Press, 2000 (in Chinese).
GAO Ning. Study on Coupled Modeling of Quenching Process and 3-Dimensional Numerical Simulation [D]. Beijing: Tsing-hua University, 2000 (in Chinese).
Mittemeijer E J, Van Gent A, Van Der Schaaf P J. Analysis of Transformation Kinetics by Ninisothermal Dilatometry [J]. Metallurgical Transactions, 1986, 17A: 1441–1445.
Valencia Morales E, Vega L J, Villar C E, et al. Some Comments About the Errors in the Avrami Plots [J]. Scripta Materialia, 2005, 52: 217–219.
Gómez M, Medina S F, Caruana G. Modelling of Phase Transformation Kinetics by Correction of Dilatometry Results for a Ferritic Nb-Microalloyed Steel [J]. ISIJ International, 2003, 43(8): 1228–1237.
Elwazri A M, Essadiqi E, Yue S. The Kinetics of Static Re-crystallization in Microalloyed Hypereutectoid Steels [J]. ISIJ International, 2004, 44 (1): 162–170.
Schroder R. Influences on Development of Thermal and Residual Stresses in Quenched Steel Cylinders of Different Dimensions [J]. Materials Science and Technology, 1985, 1(10): 754–764.
LUO Haiwen, Sietsma Jilt, Van Der Zwaag Sybrand. Effect of Inhomogeneous Deformation on the Recrystallization Kinetics of Deformed Metals [J]. ISIJ International, 2004, 44 (11): 1931–1936.
Hawbolt E B, Chao B, Brimacombe J K. Kinetics of Austen-ite-Ferrite and Austenite-Pearlite Transformations in a 1025 Carbon Steel [J]. Metallurgical Transactions, 1985, 16A: 565–578.
Roósz A, GÁcsi Z, Fuchs E G. Isothermal Formation of Austenite in Eutectoid Plain Carbon Steel [J]. Acta Metallurgica, 1983, 31(4): 509–517.
Todinov M T. On Some Limitations of the Johnson-Mehl-Avrami-Kolmogorov Equation [J]. Acta Metallurgica, 2000, (48): 4217–4224.
LIU Zhuang, WU Zhao-ji, WU Jing-zhi, et al. Numerical Simulation of Heat Treatment Process [M]. Beijing: Science Press, 1996 (in Chinese).
Lee Jye-long, Bhadeshia H K D H. A Methodology for the Prediction of Time-Temperature-Transformation Diagrams [J]. Materials Science and Engineering, 1993, A171: 223–230.
Lusk Mark T, Lee Young-Kook, Jou Herng-Jeng, et al. An Internal State Variable Model for the Low Temperature Tempering of Low Alloy Steels [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 178–184.
Vincent Y, Jullien Jean-Francois, Fouquet F, et al. Weld Models Incorporating the HAZ Phase Transformation Effects, Comparison Between Experimental and Numerical Results [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 107–113.
Kundu Saurabh, Mukhopashyay Ananya, Chatterjee Sudin, et al. Modelling of Microstructure and Heat Transfer During Controlled Cooling of Low Carbon Wire Rod [J]. ISIJ International, 2004, 44(7): 1217–1223.
Lee Seok-jae, Lee Young-kook. Effect of Austenite Grain Size on Martensitic Transformation of Low Alloy Steel [A]. Proceedings of the 5th Pacific Rim International Conference on Advanced Materials and Processing [C]. Beijing: The Chinese Society for Metals, 2004. 3169–3172.
JU Dong-Ying, Narazaki Michiharu, Kamisugi Hirofumi, et al. Computer Predictions and Experimental Verification of Residual Stresses and Distortion in Carburizing-Quenching of Steel [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 165–172.
Pariser Gerhard, Schaffnit Philippe, Steinbach Ingo, et al. Simulation of the γ-α Transformation Using the Phase-Field Method [J]. Steel Research, 2001, 72(9), 354–360.
LIU Chun-cheng, JU Dong-ying, Inoue Tatsuo. A Numerical Modeling of Metallo-Thermo-Mechanical Behavior in Both Carburized and Carbonitrided Quenching Processes [J]. ISIJ International, 2002, 42(10): 1125–1134.
Lusk Mark T, Jou Herng-Jeng. On the Rule of Additivity in Phase Transformation Kinetics [J]. Metallurgical and Materials Transactions, 1997, 28A: 287–291.
Tszeng T C. Autocatalysis in Bainite Transformation [J]. Materials Science and Engineering, 2000, A293: 185–190.
Caballero F G, Capdevila C, Garcia de Andres C. Influence of Pearlite Morphology and Heating Rate on the Kinetics of Continuously Heated Austenite Formation in a Eutectoid Steel [J]. Metallurgical and Materials Transactions, 2001, 32A: 1283–1291.
Capdevila C, Caballero F G, Garcia de Andres C. Modeling of Kinetics of Austenite-to-Allotriomorphic Ferrite Transformation in 0. 37C1-1. 45Mn-0. 11V Microalloyed Steel [J]. Metallurgical and Materials Transactions, 2001, 32A: 661–669.
Kasuya T, Ichikawa K, Fuji M, et al. Real and Extended Volumes in Simultaneous Transformations [J]. Materials Science and Technology, 1999, 15: 471–473.
Geiger J, Roósz A, Barkóczy P. Simulation of Grain Coarsening in Two Dimensions by Cellular-Automation [J]. Acta Metallurgica, 2001, 49: 623–629.
WU W T, Tang J P, Li G. Recent Development of Process Simulation and Its Application to Manufacturing Processes [J]. Journal of Shanghai Jiao Tong University, 2000, E(5): 235–241.
Tamura I. Deformation-Induced Martensitic Transformation and Transformation-Induced Plasticity in Steels [J]. Metal Science, 1982, 16: 245–253.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation Item: Item Sponsored by State High Technology Research and Development Program (863 Plan) of China (2001AA332020)
Rights and permissions
About this article
Cite this article
Zhao, Hz., Liu, Xh. & Wang, Gd. Progress in Modeling of Phase Transformation Kinetics. J. Iron Steel Res. Int. 13, 68–73 (2006). https://doi.org/10.1016/S1006-706X(06)60064-2
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1006-706X(06)60064-2