Abstract
A kinetics model for the precipitation of M23C6 in high Cr ferritic heat resistant steel during tempering has been developed assuming the site-saturated nucleation, carbon diffusion-controlled growth and soft-impingement. The growth coefficient in this model is temperature-dependent, and the Arrhenius equation is applied to describe the growth coefficient, in which the growth activation energy is nearly equal to the diffusion activation energy of carbon in martensite. The effect of main parameters in this model has been discussed in detail. By this model, the precipitation of M23C6 during tempering can be predicted accurately in the case of 2D, and a good agreement with experimental data in previous work has been achieved.
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References
F. Abe: Precipitate design for creep strengthening of 9% Cr tempered martensitic steel for ultra-supercritical power plants. Sci. Technol. Adv. Mater. 9(1), 013002 (2008).
B. Ning, Q. Shi, Z. Yan, J. Fu, Y. Liu, and L. Bie: Variation of martensite phase transformation mechanism in minor-stressed T91 ferritic steel. J. Nucl. Mater. 393(1), 54 (2009).
L. Singhal and J. Martin: The nucleation and growth of widmannstätten m23c6 precipitation in an austenitic stainless steel. Acta Metall. 16(9), 1159 (1968).
M. Taneike, K. Sawada, and F. Abe: Effect of carbon concentration on precipitation behavior of M23C6 carbides and MX carbonitrides in martensitic 9Cr steel during heat treatment. Metall. Mater. Trans. A 35(4), 1255 (2004).
F. Abe, M. Taneike, and K. Sawada: Alloy design of creep resistant 9Cr steel using a dispersion of nano-sized carbonitrides. Int. J. Press. Vessels Pip. 84(1), 3 (2007).
F. Liu, F. Sommer, and E. Mittemeijer: An analytical model for isothermal and isochronal transformation kinetics. J. Mater. Sci. 39(5), 1621 (2004).
F. Liu, H. Nitsche, F. Sommer, and E. Mittemeijer: Nucleation, growth and impingement modes deduced from isothermally and isochronally conducted phase transformations: Calorimetric analysis of the crystallization of amorphous Zr50Al10Ni40. Acta Mater. 58(19), 6542 (2010).
G. Ruitenberg, E. Woldt, and A. Petford-Long: Comparing the Johnson–Mehl–Avrami–Kolmogorov equations for isothermal and linear heating conditions. Thermochim. Acta 378(1), 97 (2001).
M. Starink and A.M. Zahra: β′ and β precipitation in an Al–Mg alloy studied by DSC and TEM. Acta Mater. 46(10), 3381 (1998).
J. Robson and H. Bhadeshia: Kinetics of precipitation in power plant steels. Calphad 20(4), 447 (1996).
J. Robson and H. Bhadeshia: Modelling precipitation sequences in power plant steels part 1–kinetic theory. Mater. Sci. Technol. 13(8), 631 (1997).
F. Liu, F. Sommer, C. Bos, and E. Mittemeijer: Analysis of solid-state phase transformation kinetics: Models and recipes. Int. Mater. Rev. 52(4), 193 (2007).
S. Offerman, N. Van Dijk, J. Sietsma, E. Lauridsen, L. Margulies, S. Grigull, H. Poulsen, and S. Van Der Zwaag: Solid-state phase transformations involving solute partitioning: Modeling and measuring on the level of individual grains. Acta Mater. 52(16), 4757 (2004).
H. Chen and S. van der Zwaag: Modeling of soft impingement effect during solid-state partitioning phase transformations in binary alloys. J. Mater. Sci. 46(5), 1328 (2011).
J. Gilmour, G. Purdy, and J. Kirkaldy: Thermodynamics controlling the proeutectoid ferrite transformations in Fe-C-Mn alloys. Metall. Mater. Trans. B 3(6), 1455 (1972).
J. Gilmour, G. Purdy, and J. Kirkaldy: Partition of manganese during the proeutectoid ferrite transformation in steel. Metall. Mater. Trans. B 3(12), 3213 (1972).
H.K.D.H. Bhadeshia: Diffusional formation of ferrite in iron and its alloys. Prog. Mater. Sci. 29, 321 (1986).
C.G. Andres, C. Capdevila, F. Caballero, and H. Bhadeshia: Modelling of isothermal ferrite formation using an analytical treatment of soft impingement in 0.37 C-1.45 Mn-0.11 V microalloyed steel. Scr. Mater. 39(7), 853 (1998).
G. Yu, Y. Lai, and W. Zhang: Kinetics of transformation with nucleation and growth mechanism: Diffusion-controlled reactions. J. Appl. Phys. 82(9), 4270 (1997).
K. Fan, F. Liu, X. Liu, Y. Zhang, G. Yang, and Y. Zhou: Modeling of isothermal solid-state precipitation using an analytical treatment of soft impingement. Acta Mater. 56(16), 4309 (2008).
C. Zener: Theory of growth of spherical precipitates from solid solution. J. Appl. Phys. 20(10), 950 (1949).
E. Mittemeijer: Analysis of the kinetics of phase transformations. J. Mater. Sci. 27(15), 3977 (1992).
M. Avrami: Kinetics of phase change. I general theory. J. Chem. Phys. 7, 1103 (1939).
M. Avrami: Kinetics of phase change. II transformation‐time relations for random distribution of nuclei. J. Chem. Phys. 8, 212 (1940).
M. Avrami: Granulation, phase change, and microstructure kinetics of phase change. III. J. Chem. Phys. 9, 177 (1941).
H. Chen and S. van der Zwaag: Indirect evidence for the existence of the Mn partitioning spike during the austenite to ferrite transformation. Philos. Mag. Lett. 92(2), 86 (2012).
H. Chen, B. Appolaire, and S. van der Zwaag: Application of cyclic partial phase transformations for identifying kinetic transitions during solid-state phase transformations: Experiments and modeling. Acta Mater. 59(17), 6751 (2011).
H. Chen and S. van der Zwaag: Analysis of ferrite growth retardation induced by local Mn enrichment in austenite created by prior interface passages. Acta Mater. 61(4), 1338 (2012).
C. Wert and C. Zener: Interference of growing spherical precipitate particles. J. Appl. Phys. 21(1), 5 (1950).
C.J. Smithells: Metals Reference Book, 6th ed. edited by E.A. Brandes (Butterworths, London, 1983). p. 15.
N. Chester and H. Bhadeshia: Mathematical modelling of bainite transformation kinetics. Le Journal de Physique IV 7(C5), 5 (1997).
F. Abe, T. Horiuchi, M. Taneike, and K. Sawada: Stabilization of martensitic microstructure in advanced 9Cr steel during creep at high temperature. Mater. Sci. Eng., A 378(1), 299 (2004).
J. Robson and H. Bhadeshia: Modelling precipitation sequences in powerplant steels part 2–application of kinetic theory. Mater. Sci. Technol. 13(8), 640 (1997).
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The authors are grateful to the National Natural Science Foundation of China, Shanghai Baosteel Group Company (Grant No. 50834011) and the National Natural Science Foundation of China (Grant Nos. 51104107 and No. 51204121) for grant and financial support.
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Xu, L., Zhang, D., Liu, Y. et al. Precipitation kinetics of M23C6 in T/P92 heat-resistant steel by applying soft-impingement correction. Journal of Materials Research 28, 1529–1537 (2013). https://doi.org/10.1557/jmr.2013.116
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DOI: https://doi.org/10.1557/jmr.2013.116