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Orientation Dependence of Columnar Dendritic Growth with Sidebranching Behaviors in Directional Solidification: Insights from Phase-Field Simulations

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Abstract

In this study, a thin-interface phase-field model was employed to study the orientation dependence of the columnar dendritic growth with sidebranching behaviors in directional solidification. It was found that the dimensionless tip undercooling increases with the increase of misorientation angle for three pulling velocities. The primary spacing is found to be a function of misorientation angle, and the dimensionless primary spacing with respect to the misorientation angle follows the orientation correction given by Gandin and Rappaz (Acta. Metall. 42:2233–2246, 1994). For the analysis of the dendritic tip, the two-dimensional (2-D) form of the nonaxisymmetric needle crystal was used to determine the radius of the tilted columnar dendrite. Based on the definitions of open side and constrained side of the dendrite, the analysis of the width active sidebranches and the dendritic area in 2-D with respect to the distance from the dendritic tip was carried out to investigate the asymmetrical dendrite envelop and sidebranching behaviors on the two sides in directional solidification. The obtained prefactor and exponent with respect to misorientation angle are discussed, showing that the sidebranching behaviors of a tilted columnar dendritic array obey a similar power-law relationship with that of a free dendritic growth.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 51701160 and 51471134) and the Fund of the State Key Solidification Laboratory of Solidification Processing in Northwestern Polytechnical University (Grant No. SKLSP 201714).

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Authors and Affiliations

  1. The Key Laboratory of Space Applied Physics and Chemistry, Northwestern Polytechnical University, Xi’an, 710129, P.R. China

    Hui Xing, Jianyuan Wang & Kexin Jin

  2. College of Materials Science and Engineering, Zhengzhou University, Zhengzhou, 450001, P.R. China

    Xianglei Dong

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  1. Hui Xing
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  2. Xianglei Dong
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Correspondence to Hui Xing.

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Manuscript submitted July 31, 2017.

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Xing, H., Dong, X., Wang, J. et al. Orientation Dependence of Columnar Dendritic Growth with Sidebranching Behaviors in Directional Solidification: Insights from Phase-Field Simulations. Metall Mater Trans B 49, 1547–1559 (2018). https://doi.org/10.1007/s11663-018-1265-0

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