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Precipitation kinetics of M23C6 in T/P92 heat-resistant steel by applying soft-impingement correction

Published online by Cambridge University Press:  17 May 2013

Linqing Xu
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China
Dantian Zhang
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China
Yongchang Liu*
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China
Baoqun Ning
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China; andSchool of Materials Science and Engineering, Tianjin University of Technology, Tianjin 300384, People’s Republic of China
Zhixia Qiao
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China; andSchool of Mechanical Engineering, Tianjin University of Commerce, Tianjin 300134, People’s Republic of China
Zesheng Yan
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China
Huijun Li*
Affiliation:
State Key Lab of Hydraulic Engineering Simulation and Safety, School of Materials Science and Engineering, Tianjin University, Tianjin 300072, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: licmtju@163.com
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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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Articles
Copyright
Copyright © Materials Research Society 2013 

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References

REFERENCES

Abe, F.: Precipitate design for creep strengthening of 9% Cr tempered martensitic steel for ultra-supercritical power plants. Sci. Technol. Adv. Mater. 9(1), 013002 (2008).CrossRefGoogle ScholarPubMed
Ning, B., Shi, Q., Yan, Z., Fu, J., Liu, Y., and Bie, L.: Variation of martensite phase transformation mechanism in minor-stressed T91 ferritic steel. J. Nucl. Mater. 393(1), 54 (2009).CrossRefGoogle Scholar
Singhal, L. and Martin, J.: The nucleation and growth of widmannstätten m23c6 precipitation in an austenitic stainless steel. Acta Metall. 16(9), 1159 (1968).CrossRefGoogle Scholar
Taneike, M., Sawada, K., and Abe, F.: 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).CrossRefGoogle Scholar
Abe, F., Taneike, M., and Sawada, K.: Alloy design of creep resistant 9Cr steel using a dispersion of nano-sized carbonitrides. Int. J. Press. Vessels Pip. 84(1), 3 (2007).CrossRefGoogle Scholar
Liu, F., Sommer, F., and Mittemeijer, E.: An analytical model for isothermal and isochronal transformation kinetics. J. Mater. Sci. 39(5), 1621 (2004).CrossRefGoogle Scholar
Liu, F., Nitsche, H., Sommer, F., and Mittemeijer, E.: 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).CrossRefGoogle Scholar
Ruitenberg, G., Woldt, E., and Petford-Long, A.: Comparing the Johnson–Mehl–Avrami–Kolmogorov equations for isothermal and linear heating conditions. Thermochim. Acta 378(1), 97 (2001).CrossRefGoogle Scholar
Starink, M. and Zahra, A.M.: β′ and β precipitation in an Al–Mg alloy studied by DSC and TEM. Acta Mater. 46(10), 3381 (1998).CrossRefGoogle Scholar
Robson, J. and Bhadeshia, H.: Kinetics of precipitation in power plant steels. Calphad 20(4), 447 (1996).CrossRefGoogle Scholar
Robson, J. and Bhadeshia, H.: Modelling precipitation sequences in power plant steels part 1–kinetic theory. Mater. Sci. Technol. 13(8), 631 (1997).CrossRefGoogle Scholar
Liu, F., Sommer, F., Bos, C., and Mittemeijer, E.: Analysis of solid-state phase transformation kinetics: Models and recipes. Int. Mater. Rev. 52(4), 193 (2007).CrossRefGoogle Scholar
Offerman, S., Van Dijk, N., Sietsma, J., Lauridsen, E., Margulies, L., Grigull, S., Poulsen, H., and Van Der Zwaag, S.: Solid-state phase transformations involving solute partitioning: Modeling and measuring on the level of individual grains. Acta Mater. 52(16), 4757 (2004).CrossRefGoogle Scholar
Chen, H. and van der Zwaag, S.: Modeling of soft impingement effect during solid-state partitioning phase transformations in binary alloys. J. Mater. Sci. 46(5), 1328 (2011).CrossRefGoogle Scholar
Gilmour, J., Purdy, G., and Kirkaldy, J.: Thermodynamics controlling the proeutectoid ferrite transformations in Fe-C-Mn alloys. Metall. Mater. Trans. B 3(6), 1455 (1972).CrossRefGoogle Scholar
Gilmour, J., Purdy, G., and Kirkaldy, J.: Partition of manganese during the proeutectoid ferrite transformation in steel. Metall. Mater. Trans. B 3(12), 3213 (1972).CrossRefGoogle Scholar
Bhadeshia, H.K.D.H.: Diffusional formation of ferrite in iron and its alloys. Prog. Mater. Sci. 29, 321 (1986).CrossRefGoogle Scholar
Andres, C.G., Capdevila, C., Caballero, F., and Bhadeshia, H.: 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).CrossRefGoogle Scholar
Yu, G., Lai, Y., and Zhang, W.: Kinetics of transformation with nucleation and growth mechanism: Diffusion-controlled reactions. J. Appl. Phys. 82(9), 4270 (1997).CrossRefGoogle Scholar
Fan, K., Liu, F., Liu, X., Zhang, Y., Yang, G., and Zhou, Y.: Modeling of isothermal solid-state precipitation using an analytical treatment of soft impingement. Acta Mater. 56(16), 4309 (2008).CrossRefGoogle Scholar
Zener, C.: Theory of growth of spherical precipitates from solid solution. J. Appl. Phys. 20(10), 950 (1949).CrossRefGoogle Scholar
Mittemeijer, E.: Analysis of the kinetics of phase transformations. J. Mater. Sci. 27(15), 3977 (1992).CrossRefGoogle Scholar
Avrami, M.: Kinetics of phase change. I general theory. J. Chem. Phys. 7, 1103 (1939).CrossRefGoogle Scholar
Avrami, M.: Kinetics of phase change. II transformation‐time relations for random distribution of nuclei. J. Chem. Phys. 8, 212 (1940).CrossRefGoogle Scholar
Avrami, M.: Granulation, phase change, and microstructure kinetics of phase change. III. J. Chem. Phys. 9, 177 (1941).CrossRefGoogle Scholar
Chen, H. and van der Zwaag, S.: Indirect evidence for the existence of the Mn partitioning spike during the austenite to ferrite transformation. Philos. Mag. Lett. 92(2), 86 (2012).CrossRefGoogle Scholar
Chen, H., Appolaire, B., and van der Zwaag, S.: Application of cyclic partial phase transformations for identifying kinetic transitions during solid-state phase transformations: Experiments and modeling. Acta Mater. 59(17), 6751 (2011).CrossRefGoogle Scholar
Chen, H. and van der Zwaag, S.: Analysis of ferrite growth retardation induced by local Mn enrichment in austenite created by prior interface passages. Acta Mater. 61(4), 1338 (2012).CrossRefGoogle Scholar
Wert, C. and Zener, C.: Interference of growing spherical precipitate particles. J. Appl. Phys. 21(1), 5 (1950).CrossRefGoogle Scholar
Smithells, C.J.: Metals Reference Book, 6th ed. edited by Brandes, E.A. (Butterworths, London, 1983). p. 15.Google Scholar
Chester, N. and Bhadeshia, H.: Mathematical modelling of bainite transformation kinetics. Le Journal de Physique IV 7(C5), 5 (1997).Google Scholar
Abe, F., Horiuchi, T., Taneike, M., and Sawada, K.: Stabilization of martensitic microstructure in advanced 9Cr steel during creep at high temperature. Mater. Sci. Eng., A 378(1), 299 (2004).CrossRefGoogle Scholar
Robson, J. and Bhadeshia, H.: Modelling precipitation sequences in powerplant steels part 2–application of kinetic theory. Mater. Sci. Technol. 13(8), 640 (1997).CrossRefGoogle Scholar