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物理学报. 2008, 57(2): 1246-1253.
doi: 10.7498/aps.57.1246.
各向异性作用下合金定向凝固界面稳定性的渐近分析
- 收稿日期: 2007-02-05
- 修回日期: 2007-06-19
- 刊出日期: 2008-01-05
English Abstract
The asymptotic analysis of interfacial stability with surface tension anisotropy for directional solidification of alloys
- Received Date:
05 February 2007
- Accepted Date:
19 June 2007
- Published Online:
05 January 2008
Abstract: An asymptotic analysis of interfacial stability with the surface tension anisotropy is derived for directional solidification of alloys. The zero and first order solution for multi-scale and the zero order solution for single-scale are obtained. The dispersion relation adapted to all wave-length is presented by combining the short and the long wave-length solutions. It was concluded that the zero order asymptotic solution is equivalent to constitutional undercooling theory and the first order solution is consistent with M-S theory. The instability zone of control parameter enlarges with the surface tension anisotropy,especially for the high temperature gradient and high pulling velocitycases.
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