scholarly journals Appendix A: Thin Interface Limit of a Binary Alloy Phase Field Model

2010 ◽  
pp. 223-260
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model

A phase field model for phase transformation in an elastically stressed binary alloy

2005 ◽  
Vol 13 (3) ◽  
pp. 299-319 ◽  
Author(s):  
Dong-Hee Yeon ◽  
Pil-Ryung Cha ◽  
Ji-Hee Kim ◽  
Martin Grant ◽  
Jong-Kyu Yoon
Keyword(s):  
Phase Transformation ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model

Study on Microstructural Evolution of Binary Alloy Crystal Growth in Directional Solidification Process

2013 ◽  
Vol 470 ◽  
pp. 100-103
Author(s):  
Dong Sheng Chen ◽  
Ming Chen ◽  
Rui Chang Wang
Keyword(s):  
Crystal Growth ◽  
Directional Solidification ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Field Method ◽  
Phase Field Method ◽  
Pure Substance ◽  
Columnar Dendrite

PFM (phase field method) was employed to study microstructure evolution, and considering the effect of solute concentration to the undercooling, we developed a phase field model for binary alloy on the basis of pure substance model. In the paper, the temperature field and solute field were coupled together in the phase field model to calculate the crystal growth of magnesium alloy in directional solidification. The simulation results showed a non-planar crystal growth of planar to cellular to columnar dendrite, the comparison of different dendrite patterns were carried out in the numerical simulation, and with the increasing of the anisotropy, the second dendrite arms became more developed.

Research on Phase-Field Model of Three-Dimensional Dendritic Growth for Binary Alloy

2015 ◽  
Vol 12 (11) ◽  
pp. 4289-4296 ◽  
Author(s):  
Li Feng ◽  
Jinfang Jia ◽  
Changsheng Zhu ◽  
Yang Lu ◽  
Rongzhen Xiao ◽  
...  
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model

scholarly journals A Phase Field Model for Binary Alloy Solidification with Boundary Interface Intersection

2016 ◽  
Vol 8 ◽  
pp. 9-18
Author(s):  
Jie Liao
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Contact Region ◽  
Contact Point ◽  
Boundary Surface ◽  
Phase Field Model ◽  
Diffuse Interface ◽  
Interface Problem ◽  
Alloy Solidification

A phase field model for binary alloy solidification with boundary interface intersection is developed. In the phase field model, the heat and solute conservation equations are appropriately modified to account for the presence of heat and solute rejection inside the diffuse interface, and a relaxation boundary condition for the phase field variable is introduced to balance the interface energy and boundary surface energy in the multiphase contact region. The thin interface asymptotic analysis is applied on the phase field model to yield the free interface problem with dynamic contact point condition.

Phase-Field Simulation of Solidification Double Dendritic Growth of Binary Alloy in the Forced Flow

2011 ◽  
Vol 421 ◽  
pp. 574-577
Author(s):  
Wen Yuan Long ◽  
Ding Ping You ◽  
Jun Ping Yao ◽  
Hong Wan
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Simple Algorithm ◽  
Force Convection ◽  
Momentum Conservation ◽  
Forced Flow ◽  
Implicit Finite Difference

We study the effect of force convection and temperature on the double dendrite growth during the solidification of binary alloy using a phase-field model. The mass and momentum conservation equations are solved using the Simple algorithm, and the thermal governing equation is numerically solved using an alternating implicit finite difference method. The results indicate that dendritic grows unsymmetrically under a forced flow, the growth velocity of the upstream tip is faster than the downstream tip. The downstream tip of the first dendrite and the upstream tip of the second dendrite are influenced each other, the upstream tip of the second dendrite will Coarsen, and the concentration at the boundary between them is the highest. Moreover, the interaction between the two dendrites is more and more obvious with the increasing of the temperature.

Numerical Simulation of Dendrite Growth of Binary Alloy Using Phase-Field Method

2014 ◽  
Vol 716-717 ◽  
pp. 133-136
Author(s):  
Fang Hui Liu ◽  
Ming Gao
Keyword(s):  
Temperature Gradient ◽  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Field Method ◽  
Dendrite Growth ◽  
Phase Field Method ◽  
Dendrite Morphology ◽  
Anisotropic Strength

In order to study the growth process and morphology of dendrite directly, a phase field model of binary alloy was established. In this model the order parameter equation was coupled with the temperature field and the solute field. The growing processes and morphology of dendrite were simulated by using this phase field model. Through analyzing the results, we discussed the effects of anisotropic strength and temperature gradient on dendrite morphology. The results shows that with the increasing of anisotropic strength, the dendrite growth rate of the dendrite will increase and the secondary branches appear more clearly. Besides, the temperature gradient has influence on the appearance of secondary arms during the dendrite growing. With the increase of temperature gradient, the size of secondary dendrite arms increase.

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