TY - JOUR
T1 - Quantitative phase field simulation of deep cells in directional solidification of an alloy
AU - Lan, C. W.
AU - Shih, C. J.
AU - Lee, M. H.
N1 - Funding Information:
The authors are grateful for the financial support from the National Science Council of Taiwan.
PY - 2005/5
Y1 - 2005/5
N2 - The formation of deep cells after the onset of Mullins-Sekerka instability during the thin-film directional solidification of a succinonitrile/acetone alloy has been simulated quantitatively by phase field modeling. The solute trapping introduced by the diffusive interface is corrected by a simple interface model, so that at the interface the equilibrium segregation is restored and the Gibbs-Thompson relation is satisfied. With the increasing pulling speed, the transitions from planar to λc/2 shallow cells, smaller wavelength finite-depth cells, and deep cells are clearly illustrated. The formation of deep cells with change of overall morphologies is performed, and its wavelength transition is consistent with the reported experiments. Furthermore, during the development of a cellular pattern starting from a planar interface, the crossover wavelength under different solidification speeds, where the deformation is comparable to the wavelength, agrees reasonably well with the Warren-Langer theory.
AB - The formation of deep cells after the onset of Mullins-Sekerka instability during the thin-film directional solidification of a succinonitrile/acetone alloy has been simulated quantitatively by phase field modeling. The solute trapping introduced by the diffusive interface is corrected by a simple interface model, so that at the interface the equilibrium segregation is restored and the Gibbs-Thompson relation is satisfied. With the increasing pulling speed, the transitions from planar to λc/2 shallow cells, smaller wavelength finite-depth cells, and deep cells are clearly illustrated. The formation of deep cells with change of overall morphologies is performed, and its wavelength transition is consistent with the reported experiments. Furthermore, during the development of a cellular pattern starting from a planar interface, the crossover wavelength under different solidification speeds, where the deformation is comparable to the wavelength, agrees reasonably well with the Warren-Langer theory.
KW - Deep cells
KW - Directional solidification
KW - Morphological instability
KW - Phase field simulation
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U2 - 10.1016/j.actamat.2005.01.034
DO - 10.1016/j.actamat.2005.01.034
M3 - Article
AN - SCOPUS:16344386973
SN - 1359-6454
VL - 53
SP - 2285
EP - 2294
JO - Acta Materialia
JF - Acta Materialia
IS - 8
ER -