The combinatorial factor method for investigation of order-disorder in two-dimensional binary alloy

2010 ◽  
Vol 7 (4) ◽  
pp. 986-994 ◽  
Author(s):  
S. Ranjbar ◽  
S. J. Hossini
Keyword(s):  
Binary Alloy ◽  
Two Dimensional ◽  
Factor Method ◽  
Combinatorial Factor

scholarly journals Directional solidification of a binary alloy into a cellular convective flow: localized morphologies

1999 ◽  
Vol 395 ◽  
pp. 253-270 ◽  
Author(s):  
Y.-J. CHEN ◽  
S. H. DAVIS
Keyword(s):  
Directional Solidification ◽  
Binary Alloy ◽  
Temporal Dynamics ◽  
Three Dimensional ◽  
Multiple Scale ◽  
Solute Diffusion ◽  
Two Dimensional ◽  
Morphological Instability ◽  
Flow Strength ◽  
Weakly Nonlinear

A steady, two-dimensional cellular convection modifies the morphological instability of a binary alloy that undergoes directional solidification. When the convection wavelength is far longer than that of the morphological cells, the behaviour of the moving front is described by a slow, spatial–temporal dynamics obtained through a multiple-scale analysis. The resulting system has a parametric-excitation structure in space, with complex parameters characterizing the interactions between flow, solute diffusion, and rejection. The convection in general stabilizes two-dimensional disturbances, but destabilizes three-dimensional disturbances. When the flow is weak, the morphological instability is incommensurate with the flow wavelength, but as the flow gets stronger, the instability becomes quantized and forced to fit into the flow box. At large flow strength the instability is localized, confined in narrow envelopes. In this case the solutions are discrete eigenstates in an unbounded space. Their stability boundaries and asymptotics are obtained by a WKB analysis. The weakly nonlinear interaction is delivered through the Lyapunov–Schmidt method.

Two-dimensional phase-field study of competitive grain growth during directional solidification of polycrystalline binary alloy

2016 ◽  
Vol 442 ◽  
pp. 14-24 ◽  
Author(s):  
Tomohiro Takaki ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Shinji Sakane ◽  
Takashi Shimokawabe ◽  
...  
Keyword(s):  
Field Study ◽  
Directional Solidification ◽  
Grain Growth ◽  
Binary Alloy ◽  
Phase Field ◽  
Two Dimensional

scholarly journals Effect of the vacancy interaction on antiphase domain growth in a two-dimensional binary alloy

1997 ◽  
Vol 56 (9) ◽  
pp. 5261-5270 ◽  
Author(s):  
Marcel Porta ◽  
Carlos Frontera ◽  
Eduard Vives ◽  
Teresa Castán
Keyword(s):  
Binary Alloy ◽  
Antiphase Domain ◽  
Domain Growth ◽  
Two Dimensional
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