Phase-field model of solute trapping during solidification

1993 ◽  
Vol 47 (3) ◽  
pp. 1893-1909 ◽  
Author(s):  
A. A. Wheeler ◽  
W. J. Boettinger ◽  
G. B. McFadden
1998 ◽  
Vol 58 (3) ◽  
pp. 3436-3450 ◽  
Author(s):  
N. A. Ahmad ◽  
A. A. Wheeler ◽  
W. J. Boettinger ◽  
G. B. McFadden

2014 ◽  
Vol 794-796 ◽  
pp. 740-745 ◽  
Author(s):  
Xiong Yang ◽  
Li Jun Zhang ◽  
Yong Du

During rapid solidification, interfaces are often driven far from equilibrium and the "solute trapping" phenomenon is usually observed. Very recently, a phase field model with finite interface dissipation, in which separate kinetic equations are assigned to each phase concentration instead of an equilibrium partitioning condition, has been newly developed. By introducing the so-called interface permeability, the phase field model with finite interface dissipation can nicely describe solute trapping during solidification in the length scale of micrometer. This model was then applied to perform a phase field simulation in a Al-Sn alloy (Al-0.2 at.% Sn) during rapid solidification. A simplified linear phase diagram was constructed for providing the reliable driving force and potential information. The other thermophysical parameters, such as interface energy and diffusivities, were directly taken from the literature. As for the interface mobility, it was estimated via a kinetic relationship in the present work. According to the present phase field simulation, the interface velocity increases as temperature decreases, resulting in the enhancement of solute trapping. Moreover, the simulated solute segregation coefficients in Al-0.2 at.% Sn can nicely reproduce the experimental data.


2016 ◽  
Vol 52 (1) ◽  
pp. 77-85 ◽  
Author(s):  
X. Yang ◽  
Y. Tang ◽  
D. Cai ◽  
L. Zhang ◽  
Y. Du ◽  
...  

Two different numerical schemes, the standard explicit scheme and the time-elimination relaxation one, in the framework of phase-field model with finite interface dissipation were employed to investigate the solute trapping effect in a Si-4.5 at.% As alloy during rapid solidification. With the equivalent input, a unique solute distribution under the steady state can be obtained by using the two schemes without restriction to numerical length scale and interface velocity. By adjusting interface width and interface permeability, the experimental solute segregation coefficients can be well reproduced. The comparative analysis of advantages and disadvantages in the two numerical schemes indicates that the time-elimination relaxation scheme is preferable in one-dimensional phase-field simulation, while the standard explicit scheme seems to be the only choice for two- or three dimensional phase-field simulation. Furthermore, the kinetic phase diagrams in the Si-As system were predicted by using the phase-field simulation with the time-elimination relaxation scheme.


1992 ◽  
Author(s):  
A A Wheeler ◽  
W J Boettinger ◽  
G B McFadden

1998 ◽  
Author(s):  
N A Ahmad ◽  
A A Wheeler ◽  
W J Boettinger ◽  
G B McFadden

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