Anisotropic interface kinetics and tilted cells in unidirectional solidification

G. W. Young; S. H. Davis; K. Brattkus

doi:10.1016/0022-0248(87)90251-X

Anisotropic interface kinetics and tilted cells in unidirectional solidification

G. W. Young^*, S. H. Davis, K. Brattkus

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	560-571
Number of pages	12
Journal	Journal of Crystal Growth
Volume	83
Issue number	4
DOIs	https://doi.org/10.1016/0022-0248(87)90251-X
State	Published - Jul 1 1987
Externally published	Yes

Funding

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.

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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10.1016/0022-0248(87)90251-X

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title = "Anisotropic interface kinetics and tilted cells in unidirectional solidification",

abstract = "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.",

author = "Young, {G. W.} and Davis, {S. H.} and K. Brattkus",

note = "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.",

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AU - Young, G. W.

AU - Davis, S. H.

AU - Brattkus, K.

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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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ER -

Anisotropic interface kinetics and tilted cells in unidirectional solidification

Abstract

Funding

ASJC Scopus subject areas

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