Effects of initial texture on the three-dimensional creep anisotropic behaviors of dilute Mg–Y binary alloy sheets

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.

Download Full-text

Three dimensional thermal-solute phase field simulation of binary alloy solidification

Journal of Computational Physics ◽

10.1016/j.jcp.2015.01.040 ◽

2015 ◽

Vol 287 ◽

pp. 130-150 ◽

Cited By ~ 22

Author(s):

P.C. Bollada ◽

C.E. Goodyer ◽

P.K. Jimack ◽

A.M. Mullis ◽

F.W. Yang

Keyword(s):

Binary Alloy ◽

Phase Field ◽

Three Dimensional ◽

Alloy Solidification ◽

Phase Field Simulation ◽

Field Simulation

Download Full-text

Time evolution of a quenched binary alloy. IV. Computer simulation of a three-dimensional model system

Physical Review B ◽

10.1103/physrevb.15.3014 ◽

1977 ◽

Vol 15 (6) ◽

pp. 3014-3026 ◽

Cited By ~ 103

Author(s):

Amit Sur ◽

Joel L. Lebowitz ◽

J. Marro ◽

M. H. Kalos

Keyword(s):

Computer Simulation ◽

Time Evolution ◽

Binary Alloy ◽

Three Dimensional ◽

Model System ◽

Dimensional Model ◽

Three Dimensional Model

Download Full-text

Three-Dimensional Simulations of Phase Separation in Model Binary Alloy Systems with Elasticity

MRS Proceedings ◽

10.1557/proc-481-255 ◽

1997 ◽

Vol 481 ◽

Author(s):

D. Orlikowski ◽

C. Sagui ◽

A. S. Somoza ◽

C. Roland

Keyword(s):

Phase Separation ◽

Binary Alloy ◽

Large Scale ◽

Three Dimensional ◽

Elastic Field ◽

Dimensional System ◽

Elastic Fields ◽

Slowing Down ◽

Three Dimensional Simulations ◽

Alloy Systems

ABSTRACTWe report on large-scale three-dimensional simulations of phase separation in model binary alloy systems in the presence of elastic fields. The elastic field has several important effects on the morphology of the system: the ordered domains are subject to shape transformations, and spatial ordering. In contrast to two-dimensional system, no significant slowing down in the growth is observed. There is also no evidence of any “reverse coarsening” of the domains.

Download Full-text