PULSATILE-MODE AND CELLULAR-MODE INTERACTION IN RAPID DIRECTIONAL SOLIDIFICATION

被引：14

作者：

BRAUN, RJ ^{[1
]}

MERCHANT, GJ ^{[1
]}

DAVIS, SH ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT MATH,STANFORD,CA 94305

来源：

PHYSICAL REVIEW B | 1992年 / 45卷 / 13期

关键词：

D O I：

10.1103/PhysRevB.45.7002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Merchant and Davis performed a linear stability analysis on a model for the directional solidification of a dilute binary alloy valid for all speeds; in their work, the temperature field is decoupled from the analysis. The analysis revealed that, in addition to the Mullins-Sekerka cellular mode, there is an oscillatory instability whose preferred wave number is zero. In this paper, the nonlinear interaction of these two modes in the vicinity of their simultaneous onset is analyzed. A pair of coupled Landau equations is obtained that determines the amplitudes of the modes. Any combination of primary bifurcations may occur. Secondary bifurcations also occur; there exist stable mixed modes and regions of bistability. The results are discussed in terms of experimentally relevant variables.

引用

页码：7002 / 7016

页数：15

共 27 条

[1] THE EFFECT OF LATENT-HEAT ON WEAKLY NONLINEAR MORPHOLOGICAL STABILITY
ALEXANDER, JID
WOLLKIND, DJ
SEKERKA, RF
[J]. JOURNAL OF CRYSTAL GROWTH, 1986, 79 (1-3) : 849 - 865
[2] SOLUTE TRAPPING - COMPARISON OF THEORY WITH EXPERIMENT
AZIZ, MJ
TSAO, JY
THOMPSON, MO
PEERCY, PS
WHITE, CW
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (23) : 2489 - 2492
[3] MODEL FOR SOLUTE REDISTRIBUTION DURING RAPID SOLIDIFICATION
AZIZ, MJ
[J]. JOURNAL OF APPLIED PHYSICS, 1982, 53 (02) : 1158 - 1168
[4] Baker J.C., 1971, SOLIDIFICATION, P23
[5] CELLULAR-DYNAMICS DURING DIRECTIONAL SOLIDIFICATION - INTERACTION OF MULTIPLE CELLS
BENNETT, MJ
BROWN, RA
[J]. PHYSICAL REVIEW B, 1989, 39 (16): : 11705 - 11723
[6] Boettinger W.J., 1985, RAPIDLY SOLIDIFIED C, P21
[7] THE EFFECT OF RAPID SOLIDIFICATION VELOCITY ON THE MICROSTRUCTURE OF AG-CU ALLOYS
BOETTINGER, WJ
SHECHTMAN, D
SCHAEFER, RJ
BIANCANIELLO, FS
[J]. METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1984, 15 (01): : 55 - 66
[8] BOETTINGER WJ, COMMUNICATION
[9] Boettinger WJ, 1986, RAPID SOLIDIFICATION, P81
[10] OSCILLATORY INSTABILITIES IN RAPID DIRECTIONAL SOLIDIFICATION - BIFURCATION-THEORY
BRAUN, RJ
DAVIS, SH
[J]. JOURNAL OF CRYSTAL GROWTH, 1991, 112 (04) : 670 - 690

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