TY - JOUR
T1 - Anisotropic interface kinetics and tilted cells in unidirectional solidification
AU - Young, G. W.
AU - Davis, S. H.
AU - Brattkus, K.
N1 - Funding Information:
This work was partially supported by a grant from the National Aeronautics and Space Administration, Microgravity Science and Applications Program. K.B. was supported by the National Aeronautics and Space Administration, Graduate Student Researchers Program.
PY - 1987/7/1
Y1 - 1987/7/1
N2 - We derive a nonlinear evolution equation governing the cellular structure of a binary alloy having small segregation coefficient, including the effects of anisotropic interface kinetics. This equation, applicable to long-wave instabilities of a planar interface, describes the spatial pattern of the growing disturbances. The presence of anisotropy causes the cells to grow at an angle to the normal of the planar front. This transition to a cellular morphology is shown to be a subcritical instability.
AB - We derive a nonlinear evolution equation governing the cellular structure of a binary alloy having small segregation coefficient, including the effects of anisotropic interface kinetics. This equation, applicable to long-wave instabilities of a planar interface, describes the spatial pattern of the growing disturbances. The presence of anisotropy causes the cells to grow at an angle to the normal of the planar front. This transition to a cellular morphology is shown to be a subcritical instability.
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U2 - 10.1016/0022-0248(87)90251-X
DO - 10.1016/0022-0248(87)90251-X
M3 - Article
AN - SCOPUS:0023386488
VL - 83
SP - 560
EP - 571
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
SN - 0022-0248
IS - 4
ER -