Abstract
An improved model is presented for the formation of bainitic structures during isothermal heat treatment conditions. The model based on displacive mechanism consists of a new expression for the volume fraction of bainite as a function of time, incorporating a temperature and chemical composition-based expression for the number density of initial nucleation sites and limiting the volume fraction of bainite. The model has been validated with respect to experimental data of high- as well as low-carbon steels. It has been found that the isothermal transformation kinetics is well predicted for all steels.
References
1.
Bhadeshia
, H. K. D. H.
, and Honeycombe
, R. W. K.
, 2006
, Steels: Microstructure and Properties
, 3rd ed., Butterworth-Heinemann
, Oxford
.2.
Sawley
, K.
, and Kristan
, J.
, 2003
, “Development of Bainitic Rail Steels with Potential Resistance to Rolling Contact Fatigue
,” Fatigue Fract. Eng. Mater. Struct.
, 26
(10
), pp. 1019
–1029
. 10.1046/j.1460-2695.2003.00671.x3.
Jaques
, P. J.
, 2004
, “Transformation-Induced Plasticity for High Strength Formable Steels
,” Curr. Opin. Solid State Mater. Sci.
, 8
(3–4
), pp. 259
–265
. 10.1016/j.cossms.2004.09.0064.
De Cooman
, B. C.
, 2004
, “Structure-Properties Relationship in TRIP Steels Containing Carbide-Free Bainite
,” Curr. Opin. Solid State Mater. Sci.
, 8
, pp. 285
–303
. 10.1016/j.cossms.2004.10.0025.
Bhadeshia
, H. K. D. H.
, and Christian
, J. W.
, 1990
, “Bainite in Steels
,” Metall. Trans. A
, 21
(3
), pp. 767
–797
. 10.1007/BF026565616.
Aaronson
, H. I.
, 1969
, The Mechanism of Phase Transformations in Crystalline Solids
, The Institute of Metals
, London
.7.
Quidort
, D.
, and Brechet
, Y. J. M.
, 2002
, “A Model of Isothermal and Non Isothermal Transformation Kinetics of Bainite in 0.5% C Steels
,” ISIJ Int.
, 42
(9
), pp. 1010
–1017
. 10.2355/isijinternational.42.10108.
Bhadeshia
, H. K. D. H.
, and Edmonds
, D. V.
, 1980
, “The Mechanism of Bainite Formation in Steels
,” Acta Metall.
, 28
, pp. 1265
–1273
. 10.1016/0001-6160(80)90082-69.
Bhadeshia
, H. K. D. H.
, 1980
, “BCC-BCC Orientation Relationships, Surface Relief and Displacive Phase Transformations in Steels
,” Scr. Metall.
, 14
, pp. 821
–824
. 10.1016/0036-9748(80)90296-310.
Bhadeshia
, H. K. D. H.
, 1981
, “A Rationalization of Shear Transformations in Steels
,” Acta Metall.
, 29
, pp. 1117
–1130
. 10.1016/0001-6160(81)90063-811.
Santofimia
, M. J.
, Caballero
, F. G.
, Capdevila
, C.
, Garcia-Mateo
, C.
, and de Andres
, C. G.
, 2006
, “Evaluation of Displacive Models for Bainite Transformation Kinetics in Steels
,” Mater. Trans.
, 47
, pp. 1492
–1500
. 10.2320/matertrans.47.149212.
Rees
, G. I.
, and Bhadeshia
, H. K. D. H.
, 1992
, “Bainite Transformation Kinetics: Part 1 Modified Model
,” Mater. Sci. Technol.
, 8
, pp. 985
–993
. 10.1179/mst.1992.8.11.98513.
Santofimia
, M. J.
, Caballero
, F. G.
, Capdevila
, C.
, Garcia-Mateo
, C.
, and de Andres
, C. G.
, 2006
, “New Model for the Overall Transformation Kinetics of Bainite. Part 1: The Model
,” Mater. Trans.
, 47
(10
), pp. 2465
–2472
. 10.2320/matertrans.47.246514.
Matsuda
, H.
, and Bhadeshia
, H. K. D. H.
, 2004
, “Kinetics of the Bainite Transformation
,” Proc. R. Soc. Lond. A
, 460
, pp. 1707
–1722
. 10.1098/rspa.2003.122515.
Chester
, N. A.
, and Bhadeshia
, H. K. D. H.
, 1997
, “Mathematical Modelling of Bainite Transformation Kinetics
,” J. Phys. IV France
, 7
(c5
), pp. 41
–46
.16.
Van Bohemen
, S. M. C.
, and Sietsma
, J.
, 2008
, “Modeling of Isothermal Bainite Formation Based on the Nucleation Kinetics
,” Int. J. Mater. Res.
, 99
(7
), pp. 739
–747
. 10.3139/146.10169517.
Sidhu
, G.
, Bhole
, S. D.
, Chen
, D. L.
, and Essadiqi
, E.
, 2011
, “An Improved Model for Bainite Formation at Isothermal Temperature
,” Scr. Mater.
, 64
, pp. 73
–76
. 10.1016/j.scriptamat.2010.09.00918.
Sidhu
, G.
, Bhole
, S. D.
, Chen
, D. L.
, and Essadiqi
, E.
, 2011
, “Reply to Comments on “An Improved Model for Bainite Formation at Isothermal Temperatures
,” Scr. Mater.
, 65
(4
), pp. 373
–375
. 10.1016/j.scriptamat.2011.05.01619.
20.
Garcia-Mateo
, C.
, Caballero
, F. G.
, and Bhadeshia
, H. K. D. H.
, 2003
, “Acceleration of Low-Temperature Bainite
,” ISIJ Int.
, 43
, pp. 1821
–1825
. 10.2355/isijinternational.43.182121.
Santofimia
, M. J.
, Caballero
, F. G.
, Capdevila
, C.
, Garcia-Mateo
, C.
, and de Andres
, C. G.
, 2006
, “New Model for the Overall Transformation Kinetics of Bainite. Part 2: Validation
,” Mater. Trans.
, 47
(10
), pp. 2473
–2479
. 10.2320/matertrans.47.247322.
Chang
, L. C.
, 2004
, “Microstructures and Reaction Kinetics of Bainite Transformation in Si-rich Steels
,” Mater. Sci. Eng. A
, 368
, pp. 175
–182
. 10.1016/j.msea.2003.10.29723.
Garcia-Mateo
, C.
, Caballero
, F. G.
, and Bhadeshia
, H. K. D. H.
, 2005
, “Mechanical Properties of Low-Temperature Bainite
,” Mater. Sci. Forum
, 500-501
, pp. 495
–502
. 10.4028/www.scientific.net/MSF.500-501.49524.
Caballero
, F. G.
, Bhadeshia
, H. K. D. H.
, Mawella
, K. J. A.
, Jones
, D. G.
, and Brown
, P.
, 2002
, “Very Strong Low Temperature Bainite
,” Mater. Sci. Technol.
, 18
, pp. 279
–284
. 10.1179/026708301225000725Copyright © 2019 by ASME
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