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Modeling austenite–ferrite transformation in low carbon steel using the cellular automaton method

Published online by Cambridge University Press:  01 October 2004

Y.J. Lan ,
D.Z. Li  and
Y.Y. Li
Y.J. Lan*
Affiliation:
Institute of Metal Research, Chinese Academy of Sciences, Shenyang, 110016, People’s Republic of China
D.Z. Li
Affiliation:
Institute of Metal Research, Chinese Academy of Sciences, Shenyang, 110016, People’s Republic of China
Y.Y. Li
Affiliation:
Institute of Metal Research, Chinese Academy of Sciences, Shenyang, 110016, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: yjlan@imr.ac.cn
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Abstract

Austenite–ferrite transformation at different isothermal temperatures in low carbon steel was investigated by a two-dimensional cellular automaton approach, which provides a simple solution for the difficult moving boundary problem that governs the ferrite grain growth. In this paper, a classical model for ferrite nucleation at austenite grain boundaries is adopted, and the kinetics of ferrite grain growth is numerically resolved by coupling carbon diffusion process in austenite and austenite–ferrite (γ–α) interface dynamics. The simulated morphology of ferrite grains shows that the γ–α interface is stable. In this cellular automaton model, the γ–α interface mobility and carbon diffusion rate at austenite grain boundaries are assumed to be higher than those in austenite grain interiors. This has influence on the morphology of ferrite grains. Finally, the modeled ferrite transformation kinetics at different isothermal temperatures is compared with the experiments in the literature and the grid size effects of simulated results are investigated by changing the cell length of cellular automaton model in a set of calculations.

Keywords

Computer simulationPhase transformationMetal
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 10 , October 2004 , pp. 2877 - 2886
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1Cahn, J.W.: The kinetics of grain boundary nucleated reactions. Acta Mater. 4, 449 (1956).CrossRefGoogle Scholar
2Zener, C.: Theory of growth of spherical precipitates from solid solution. J. Appl. Phys. 20, 950 (1949).Google Scholar
3Umemoto, M., Guo, Z.H. and Tamura, I.: Effect of Cooling rate on grain size of ferrite in a carbon steel. Mater. Sci. Technol. 3, 249 (1987).Google Scholar
4Militzer, M., Pandi, R. and Hawbolt, E.B.: Ferrite nucleation and growth during continuous cooling. Metall. Mater. Trans. A 27A, 1547 (1996).Google Scholar
5Vandermeer, R.A.: Modelling diffusional growth during austenite decomposition to ferrite in polycrystalline Fe-C alloys. Acta Mater. 38, 2461 (1990).Google Scholar
6Enomoto, M. and Atkinson, C.: Diffusion-controlled growth of disordered interphase boundaries in finite matrix. Acta Mater. 41, 3237 (1993).Google Scholar
7Kumar, M., Sasikumar, R. and Kesavan, N.P.: Competition between nucleation and early growth of ferrite from austenite—studies using cellular automaton simulations. Acta Mater. 46, 6291 (1998).Google Scholar
8Zhang, L., Zhang, C.B., Wang, Y.M., Liu, X.H. and Wang, G.D.: Cellular automaton model to simulate nucleation and growth of ferrite grains for low-carbon steels. J. Mater. Res. 17, 2251 (2002).CrossRefGoogle Scholar
9Zhang, L., Wang, Y.M., Zhang, C.B., Wang, S.Q. and Ye, H.Q.: A cellular automaton model of the transformation from austenite to ferrite in low carbon steels. Modell. Simul. Mater. Sci. Eng. 11, 791 (2003).Google Scholar
10Zhang, L., Zhang, C.B., Wang, Y.M., Wang, S.Q. and Ye, H.Q.: A cellular automaton investigation of the transformation from austenite to ferrite during continuous cooling. Acta Mater. 51, 5519 (2003).Google Scholar
11Krielaart, G.P., Sietsma, J. and Zwaag, S.: Ferrite formation in Fe-C alloys during austenite decomposition under non-equilibrium interface conditions. Mater. Sci. Eng. A 237A, 216 (1997).CrossRefGoogle Scholar
12Kobayashi, R.: Modeling and numerical simulations of dendritic crystal growth. Physica D 63, 410 (1993).Google Scholar
13Karma, A. and Rappel, W.J.: Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics. Phys. Rev. E 53, 3017 (1996).Google Scholar
14Karma, A. and Rappel, W.J.: Quantitative phase-field modeling of dendritic growth in two and three dimensions. Phys. Rev. E 57, 4323 (1997).CrossRefGoogle Scholar
15Warren, J.A. and Boettinger, W.J.: Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689 (1995).Google Scholar
16Pariser, G., Schaffnit, P., Steinbach, I. and Bleck, W.: Simulation of the γ-α-transformation using the phase-field method. Steel Res. 72, 354 (2001).Google Scholar
17Chen, S., Merriman, B., Osher, S. and Smereka, P.: A simple level set method for solving Stefan problems. J. Comput. Phys. 135, 8 (1997).Google Scholar
18Offerman, S.E., Dijk, N.H., Sietsma, J., Grigull, S., Lauridsen, E.M., Margulies, L., Poulsen, H.F., Rekveldt, M.T. and Zwaag, S.: Grain nucleation and growth during phase transformation. Science 298, 1003 (2002).Google Scholar
19Hillert, M.: Solute drag, solute trapping and diffusional dissipation of Gibbs energy. Acta Mater. 47, 4481 (1999).Google Scholar
20Hillert, M. and Staffansson, L.I.: The regular solution model for stoichiometric phases and ionic melts. Acta Chem. Scand. A 24, 3618 (1970).CrossRefGoogle Scholar
21Clemm, P.J. and Fisher, J.C.: The influence of grain boundaries on the nucleation of secondary phases. Acta Matell. 3, 70 (1955).CrossRefGoogle Scholar
22Kamat, R.G., Hawbolt, E.B., Brown, L.C. and Brimacombe, J.K.: The principle of additivity and the proeutectoid ferrite transformation. Metall. Trans. A 23A, 2469 (1992).Google Scholar
23Bradley, J.R., Rigsbee, J.M. and Aaronson, H.I.: Growth kinetics of grain boundary ferrite allotriomorphs in Fe-C alloys. Metall. Trans. A 8A, 323 (1977).Google Scholar
24Jacot, A. and Rappaz, M.: A two-dimensional diffusion model for the prediction of phase transformations: Application to austenitization and homogenization of hypoeutectoid Fe-C steels. Acta Mater. 45, 575 (1997).CrossRefGoogle Scholar
25Hurley, P.J. and Hodgson, P.D.: Formation of ultra-fine ferrite in hot rolled strip: potential mechanisms for grain refinement. Mater. Sci. Eng. A A302, 206 (2001).CrossRefGoogle Scholar
26Huang, C.J., Li, D.Z. and Li, Y.Y.: A finite element analysis of strain induced transformation rolling and an experimental study on the grain refinement potential of severe undercooling thermo-mechanical treatment. Mater. Sci. Eng. A A352, 136 (2003).Google Scholar
27Raabe, D. and Becker, R.C.: Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium. Modell. Simul. Mater. Sci. Eng. 8, 445 (2000).CrossRefGoogle Scholar
28Lan, Y.J., Li, D.Z., Huang, C.J. and Li, Y.Y.: A cellular automaton model for austenite to ferrite transformation in carbon steel under non-equilibrium interface conditions. Modell. Simul. Mater. Sci. Eng. 12, 719 (2004).Google Scholar