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

2018 ◽  
Vol 49 (4) ◽  
pp. 1547-1559 ◽  
Author(s):  
Hui Xing ◽  
Xianglei Dong ◽  
Jianyuan Wang ◽  
Kexin Jin
Keyword(s):  
Directional Solidification ◽  
Phase Field ◽  
Dendritic Growth ◽  
Orientation Dependence

Phase-Field Microstructure Solidification of Al–2 wt% Si Alloys

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
J. B. Allen
Keyword(s):  
Directional Solidification ◽  
Phase Field ◽  
Maximum Concentration ◽  
Dendritic Growth ◽  
Interface Energy ◽  
Liquid Interface ◽  
Two Dimensional ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Dilute Alloy

In this work, we develop one- and two-dimensional phase-field simulations to approximate dendritic growth of a binary Al–2 wt% Si alloy. Simulations are performed for both isothermal as well as directional solidification. Anisotropic interface energies are included with fourfold symmetries, and the dilute alloy assumption is imposed. The isothermal results confirm the decrease in the maximum concentration for larger interface velocities as well as reveal the presence of parabolic, dendrite tips evolving along directions of maximum interface energy. The directional solidification results further confirm the formation of distinctive secondary dendritic arm structures that evolve at regular intervals along the unstable solid/liquid interface.

Phase-field study of competitive dendritic growth of converging grains during directional solidification

2012 ◽  
Vol 60 (4) ◽  
pp. 1478-1493 ◽  
Author(s):  
Junjie Li ◽  
Zhijun Wang ◽  
Yaqin Wang ◽  
Jincheng Wang
Keyword(s):  
Field Study ◽  
Directional Solidification ◽  
Phase Field ◽  
Dendritic Growth

Tilted Dendritic Growth Dynamics and Dendrite to Degenerate Seaweed Transition in Directional Solidification: Insights from Phase-Field Simulations

2018 ◽  
Vol 15 ◽  
pp. 128-153
Author(s):  
Hui Xing ◽  
Xiang Lei Dong ◽  
Jian Yuan Wang ◽  
Ke Xin Jin
Keyword(s):  
Directional Solidification ◽  
Misorientation Angle ◽  
Phase Field ◽  
Dendritic Growth ◽  
Growth Dynamics ◽  
Growth Direction ◽  
Primary Spacing ◽  
Stability Range ◽  
Spacing Selection ◽  
Pulling Velocity

In this paper, we review our results from phase field simulations of tilted dendritic growth dynamics and dendrite to seaweed transition in directional solidification of a dilute alloy. We focus on growth direction selection, stability range and primary spacing selection, and degenerate seaweed-to-tilted dendrite transition in directional solidification of non-axially orientated crystals. For growth direction selection, the DGP law (Phys. Rev. E, 78 (2008) 011605) was modified through take the anisotropic strength and pulling velocity into account. We confirm that the DGP law is only validated in lower pulling velocity. For the stability range and primary spacing selection, we found that the lower limit of primary spacing is irrelative to the misorientation angle but the upper limit is nonlinear with respect to the misorientation angle. Moreover, predicted results confirm that the power law relationship with the orientation correction by Gandin et al. (Metall. Mater. Trans. A. 27A (1996) 2727-2739) should be a universal scaling law for primary spacing selection. For the seaweed-to-dendrite transition, we found that the tip-splitting instability in degenerate seaweed growth dynamics is related to the M-S instability dynamics, and this transition originates from the compromise in competition between two dominant mechanisms, i.e., the macroscopic thermal field and the microscopic interfacial energy anisotropy.

Dendritic Growth in Mg-Based Alloys: Phase-Field Simulations and Experimental Verification by X-ray Synchrotron Tomography

2014 ◽  
Vol 45 (5) ◽  
pp. 2562-2574 ◽  
Author(s):  
Mingyue Wang ◽  
Yanjin Xu ◽  
Qiwei Zheng ◽  
Sujun Wu ◽  
Tao Jing ◽  
...  
Keyword(s):  
Phase Field ◽  
Experimental Verification ◽  
Dendritic Growth ◽  
X Ray ◽  
Synchrotron Tomography

scholarly journals Dendritic Growth Morphologies in Al-Zn Alloys—Part II: Phase-Field Computations

2013 ◽  
Vol 44 (12) ◽  
pp. 5532-5543 ◽  
Author(s):  
J. A. Dantzig ◽  
Paolo Di Napoli ◽  
J. Friedli ◽  
M. Rappaz
Keyword(s):  
Phase Field ◽  
Dendritic Growth ◽  
Zn Alloys

Phase-Field Simulation of Three-Dimensional Dendritic Growth

2010 ◽  
Vol 97-101 ◽  
pp. 3769-3772 ◽  
Author(s):  
Chang Sheng Zhu ◽  
Jun Wei Wang
Keyword(s):  
Computational Methods ◽  
Phase Field ◽  
Interfacial Energy ◽  
Dendritic Growth ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Computational Time ◽  
Field Simulation ◽  
Undercooled Melt

Based on a thin interface limit 3D phase-field model by coupled the anisotropy of interfacial energy and self-designed AADCR to improve on the computational methods for solving phase-field, 3D dendritic growth in pure undercooled melt is implemented successfully. The simulation authentically recreated the 3D dendritic morphological fromation, and receives the dendritic growth rule being consistent with crystallization mechanism. An example indicates that AADCR can decreased 70% computational time compared with not using algorithms for a 3D domain of size 300×300×300 grids, at the same time, the accelerated algorithms’ computed precision is higher and the redundancy is small, therefore, the accelerated method is really an effective method.

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