Abstract
Considering the local linear superposition of the species and combining the calculation of phase diagram, the columnar and equiaxed growth behaviours are investigated systematically during solidification of multicomponent alloys. A theoretical model is developed to describe the columnar to equiaxed transition during multicomponent alloy solidification by taking account of the competition between nucleation and growth ahead of a dendrite array, which shows a good agreement with the experimental results.
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Hunt, J. D., Steady state columnar and equiaxed growth of dendrites and eutectic, Mater. Sci. Eng., 1984, 65: 75–83.
Cockcroft, S. L., Rappaz, M., Mitchell, A. et al., An examination of some of the manufacturing problems of large single-crystal turbine blades for use in land-based gas turbines, Materials for Advanced Power Engineering (eds. Coutsouradis, J. et al.), New York: Kluwer Inc., 1994, 1161–1175.
Gäumann, M., Trivedi, R., Kurz, W., Nucleation ahead of the advancing interface in directional solidification, Mater. Sci. Eng., 1997, A226–228: 763–769.
Gäumann, M., Bezençon, C., Canalis, P. et al., Single-crystal laser deposition of superalloys: processing-microstructure maps, Acta Mater., 2001, 49: 1051–1062.
Kurz, W., Giovanola, B., Trivedi, R., Theory of microstructural development during rapid solidification, Acta Metall. Mater., 1986, 34: 823–830.
Lipton, J., Kurz, W., Trividi, R., Rapid dendrite growth in undercooled alloys, Acta Metall., 1987, 35: 957–964.
Flood, S. C., Hunt, J. D., Columnar and equiaxed growth I. A model of a columnar front with a temperature dependent velocity, J. Crystal. Growth, 1987, 82: 543–551.
Flood, S. C., Hunt, J. D., Columnar and equiaxed growth II. Equiaxed growth ahead of a columnar front, J. Crystal. Growth, 1987, 82: 552–560.
Wang, C. Y., Beckermann, C., Prediction of columnar to equiaxed transition during diffusion-controlled dendritic alloy solidification, Metall. Mater. Trans. A, 1994, 25: 1081–1093.
Gandin, C. A., From Constrained to unconstrained growth during directional solidification, Acta Mater. 2000, 48: 2483–2501.
Brown, S. G. R., Spittle, J. A., Computer simulation of grain growth and macrostructure development during solidification, Mater. Sci. Technol., 1989, 5: 362–368.
Zhu, P., Smith, R. W., Dynamic simulation of crystal growth by Monte Carlo method I. Model description and kinetics, Acta Metall., 1992, 40: 683–692.
Zhu, P., Smith, R. W., Dynamic simulation of crystal growth by Monte Carlo method II. Ingot microstructures, Acta Metall., 1992, 40: 3369–3379.
Rappaz, M., Gandin, C. A., Probabilistic modeling of microstructure formation in solidification process, Acta Metall., 1993, 41: 345–360.
Nastac, L., Stefanescu, D. M., Stochastic modelling of microstructure formation in solidification processes, Model. Simul. Mater. Sci. Engng., 1997, 5: 391–420.
Nastac, L., Numerical modelling of solidification morphologies and segregation patterns in cast dendritic alloys, Acta Mater., 1999, 47: 4253–4262.
Chen, S. L., Oldfield, W., Chang, Y. A. et al., Modeling solidification of turbine blades using theoretical phase relationships, Metall. Mater. Trans. A, 1994, 25: 1525–1533.
Hunt, J. D., Lu, S. Z., Numerical modeling of cellular/dendritic array growth: spacing and structure predictions, Metall. Mater. Trans. A, 1996, 27: 611–623.
Rappaz, M., David, S. A., Vitek, J. M. et al., Analysis of solidification microstructures in Fe−Ni−Cr single-crystal welds, Metall. Trans. A, 1990, 21: 1767–1782.
Langer, J. S., Muller-krumbhaar, H., Theory of dendritic growth I. Elements of a stability analysis, Acta Metall., 1978, 26: 1681–1687.
Ivantsov, G. P., Temperature field around a spherical, cylindrical and acircular crystal growth in a supercooled melt, Dokl. Akad. Nauk, SSSR, 1947, 58: 567–569.
Miettinen, J., Thermodynamic reassessment of Fe−Cr−Ni system with emphasis on the iron-rich corner, Calphad, 1999, 23: 231–248.
Takeuchi, S., The Properties of Liquid Metals, London: Taylor and Francis, 1973, 343–347.
Porter, D. A., Easterling, K. E., Phase Transformations in Metal and Alloys, 2nd ed., London: Chapman and Hall, 1992.
Poole, W. J., Weinberg, F., Observations of columnar-toequiaxed transition in stainless steels, Metall. Mater. A, 1998, 29: 855–861.
Guillermet, A.F., Assessment of the thermodynamic properties of the Ni−Co system, Z. Metallkde, 1987, 78: 639–647.
Oikawa, K., Qing, G. W., Ikeshoji, T. et al., Thermodynamic calculations of phase equilibria of Co−Cr−Pt ternary and magnetically induced phase separation in the FCC and HCP phase, Journal of Magnetism and Magnetic Materials, 2001, 236: 220–233.
Brandes, E. A., Smithells Metalls Reference Book, 6th ed., Bodmin: Butterworths, 1983.
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Lin, X., Li, Y., Wang, M. et al. Columnar to equiaxed transition during alloy solidification. Sci. China Ser. E-Technol. Sci. 46, 475–489 (2003). https://doi.org/10.1360/02ye0337
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DOI: https://doi.org/10.1360/02ye0337