Dendritic tip selection during solidification of alloys: Insights from phase-field simulations

doi:10.1088/1674-1056/ad57ac

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.

Keywords: phase-field simulations dendritic structure interface energy anisotropy tip shape selection parameter

Received: 15 March 2024
Revised: 20 May 2024
Accepted manuscript online: 13 June 2024

PACS:	61.50.Ah	(Theory of crystal structure, crystal symmetry; calculations and modeling)
	81.10.Aj	(Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
	02.70.-c	(Computational techniques; simulations)
	61.72.-y	(Defects and impurities in crystals; microstructure)

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

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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Dendritic tip selection during solidification of alloys: Insights from phase-field simulations

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