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采用渐近分析方法对考虑了界面能各向异性的单相二元合金平界面定向凝固过程进行了线性稳定性分析,得到了特定条件下的零级、一级渐近解,并通过对长波段渐近解的讨论得出了适用于整个波段的色散关系.分析表明零级渐近解等效于成分过冷理论,而一级渐近解则与M-S稳定性理论一致.在稳定状态控制参数(抽拉速度和温度梯度)的选择图中,界面能各向异性增大了不稳定区域,且在高速和高温度梯度时的影响更强.
The asymptotic analysis method is used to analyze the linear stability of the plane-directional solidification of single-phase binary alloys considering the interfacial anisotropy. The zero-order and first-order asymptotic solutions under certain conditions are obtained. The discussion of band asymptotic solutions leads to the dispersion relation applicable to the whole band. The analysis shows that the zero-order asymptotic solution is equivalent to the theory of component undercooling, while the first-order asymptotic solution is consistent with the MS stability theory. In the steady state control In the selection plots of parameters (draw speed and temperature gradient), the anisotropy of the interface increases the instability area and has a greater effect at high speed and high temperature gradients.