scholarly journals Study of an alternative phase field model for low interfacial energy in elastic solids

10.30819/5337 ◽  
2021 ◽  
Author(s):  
Anke Böttcher
2010 ◽  
Vol 97-101 ◽  
pp. 3769-3772 ◽  
Author(s):  
Chang Sheng Zhu ◽  
Jun Wei Wang

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.


2001 ◽  
Vol 150 (1-2) ◽  
pp. 91-103 ◽  
Author(s):  
J.J. Eggleston ◽  
G.B. McFadden ◽  
P.W. Voorhees

2015 ◽  
Vol 1088 ◽  
pp. 238-241
Author(s):  
Xun Feng Yuan ◽  
Yan Yang

Numerical simulations based on a new regularized phase field model were presented, simulating the solidification of magnesium alloy. The effects of weak and strong interfacial energy anisotropy on the dendrite growth are studied. The results indicate that with weak interfacial energy anisotropy, the entire dendrite displays six-fold symmetry and no secondary branch appeared. Under strong interfacial energy anisotropy conditions, corners form on both the main stem and the tips of the side branches of the dendrites, the entire facet dendrite displays six-fold symmetry. As the solidification time increases, the tip temperature and velocity of the dendrite and facet dendrite finally tend to stable values. The stable velocity of the facet dendrite is 0.4 at ε6 is 0.05 and this velocity is twice that observed (0.2) at ε6 is 0.005.


2014 ◽  
Vol 24 (9) ◽  
pp. 2911-2919 ◽  
Author(s):  
Xun-feng YUAN ◽  
Bao-ying LIU ◽  
Chun LI ◽  
Chun-sheng ZHOU ◽  
Yu-tian DING

2001 ◽  
Author(s):  
G B McFadden ◽  
J J Eggleston ◽  
P W Voorhees

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