scholarly journals Anisotropic solid–liquid interface kinetics in silicon: an atomistically informed phase-field model

2017 ◽  
Vol 25 (6) ◽  
pp. 065015 ◽  
Author(s):  
S Bergmann ◽  
K Albe ◽  
E Flegel ◽  
D A Barragan-Yani ◽  
B Wagner
2017 ◽  
Vol 28 (08) ◽  
pp. 1750105
Author(s):  
F. L. O. Rodrigues ◽  
M. P. Almeida ◽  
Raimundo N. Costa Filho

A phase field model is used to study dendritic growth in a media with impurities. The model consists of a square lattice where a parameter [Formula: see text] can take values between [Formula: see text] and [Formula: see text] at each site. A site is in the solid phase for [Formula: see text], in the liquid phase for [Formula: see text], and the solid-liquid interface is expressed by [Formula: see text]. A fraction of the sites are considered impurities that cannot be solidified, i.e. [Formula: see text] is fixed and taken as zero. These impurities are distributed randomly. As the probability [Formula: see text] of impure sites in the lattice increases, the growth loses its dendritic characteristic. It is shown that the perimeter of the growing solid goes from quadratic to a linear function with time. It was also found that as the probability of impurities reaches [Formula: see text], the solid undergoes a transition from anisotropic to isotropic growth.


2021 ◽  
Vol 11 (6) ◽  
pp. 2464
Author(s):  
Sha Yang ◽  
Neven Ukrainczyk ◽  
Antonio Caggiano ◽  
Eddie Koenders

Modelling of a mineral dissolution front propagation is of interest in a wide range of scientific and engineering fields. The dissolution of minerals often involves complex physico-chemical processes at the solid–liquid interface (at nano-scale), which at the micro-to-meso-scale can be simplified to the problem of continuously moving boundaries. In this work, we studied the diffusion-controlled congruent dissolution of minerals from a meso-scale phase transition perspective. The dynamic evolution of the solid–liquid interface, during the dissolution process, is numerically simulated by employing the Finite Element Method (FEM) and using the phase–field (PF) approach, the latter implemented in the open-source Multiphysics Object Oriented Simulation Environment (MOOSE). The parameterization of the PF numerical approach is discussed in detail and validated against the experimental results for a congruent dissolution case of NaCl (taken from literature) as well as on analytical models for simple geometries. In addition, the effect of the shape of a dissolving mineral particle was analysed, thus demonstrating that the PF approach is suitable for simulating the mesoscopic morphological evolution of arbitrary geometries. Finally, the comparison of the PF method with experimental results demonstrated the importance of the dissolution rate mechanisms, which can be controlled by the interface reaction rate or by the diffusive transport mechanism.


1986 ◽  
Vol 80 ◽  
Author(s):  
Michael J. Aziz

AbstratThe deviations from local equilibrium at a rapidly moving solid-liquid interface are well documented. The fraction of solute atoms in the liquid at the interface that joins the crystal during rapid solidification approaches unity and the interface temperature drops. Experimental and theoretical work on impurity incorporation and interfacial undercooling is reviewed. Past and future experiments to test the theories are discussed.


2011 ◽  
Vol 38 (7) ◽  
pp. 477-480 ◽  
Author(s):  
Michele Ciarletta ◽  
Mauro Fabrizio ◽  
Vincenzo Tibullo

1986 ◽  
Vol 74 ◽  
Author(s):  
Michael J. Aziz

AbstractThe deviations from local equilibrium at a rapidly moving solid-liquid interface are well documented. The fraction of solute atoms in the liquid at the interface that joins the crystal during rapid solidification approaches unity and the interface temperature drops. Experimental and theoretical work on impurity incorporation and interfacial undercooling is reviewed. Past and future experiments to test the theories are discussed.


2012 ◽  
Vol 32 (6) ◽  
pp. 1997-2025 ◽  
Author(s):  
Sylvie Benzoni-Gavage ◽  
◽  
Laurent Chupin ◽  
Didier Jamet ◽  
Julien Vovelle ◽  
...  

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
J. B. Allen

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.


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