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Dendritic tip selection during solidification of alloys: Insights from phase-field simulations |
| Qingjie Zhang(张清杰)1, Hui Xing(邢辉)1,2,†, Lingjie Wang(王灵杰)1, and Wei Zhai(翟薇)1 |
1 School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2 Research & Development Institute of Northwestern Polytechnical University in Shenzhen, Shenzhen 518063, China |
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Abstract The effect of undercooling $\Delta T$ and the interface energy anisotropy parameter $\varepsilon_{4} $ on the shape of the equiaxed dendritic tip has been investigated by using a quantitative phase-field model for solidification of binary alloys. It was found that the tip radius $\rho $ increases and the tip shape amplitude coefficient $A_{4} $ decreases with the increase of the fitting range for all cases. The dendrite tip shape selection parameter $\sigma^{\ast }$ decreases and then stabilizes with the increase of the fitting range, and $\sigma^{\ast }$ increases with the increase of $\varepsilon_{4} $. The relationship between $\sigma^{\ast }$ and $\varepsilon_{4}$ follows a power-law function $\sigma^{\ast }\propto \varepsilon_{4}^{\alpha } $, and $\alpha $ is independent of $\Delta T$ but dependent on the fitting range. Numerical results demonstrate that the predicted $\sigma^{\ast }$ is consistent with the curve of microscopic solvability theory (MST) for $\varepsilon_{4} <0.02$, and $\sigma ^{\ast }$ obtained from our phase-field simulations is sensitive to the undercooling when $\varepsilon_{4} $ is fixed.
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Received: 15 March 2024
Revised: 20 May 2024
Accepted manuscript online: 13 June 2024
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PACS:
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61.50.Ah
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(Theory of crystal structure, crystal symmetry; calculations and modeling)
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81.10.Aj
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(Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
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02.70.-c
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(Computational techniques; simulations)
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61.72.-y
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(Defects and impurities in crystals; microstructure)
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| Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2021YFB3502600) and Shenzhen Science and Technology Program (Grant No. JCYJ20220530161813029). |
Corresponding Authors:
Hui Xing
E-mail: huixing@nwpu.edu.cn
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Cite this article:
Qingjie Zhang(张清杰), Hui Xing(邢辉), Lingjie Wang(王灵杰), and Wei Zhai(翟薇) Dendritic tip selection during solidification of alloys: Insights from phase-field simulations 2024 Chin. Phys. B 33 096103
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