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数值求解了Al-Si共晶定向凝固耦合方程,讨论了凝固界面形态作为共晶相间距函数的变化规律共晶凝固界面临界分叉态对应于边缘稳定点和界面位置的极大值点。α-液相界面临界分叉是局域规则层状结构相间距选择点,而非规则片状结构相间距的选择点对应于β-液相界面临界分叉导出的两种结构的标度律得到了试验测定结果的支持

The profile features of solidifying interface of irregular Al-Si eutectic duringdirectional solidification were studied by solving a nonlinear coupling equation of directionalsolidification of Ai-Si eutectic. The critical splitting point of the solidifying interface coin- cides with the maximum value of its position and corresponds to the marginal stability point.Argument is presented that the interlamellar spacing for local regular structure selects the crit-ical splitting state of α(Al)-liquid interface as its operating point, and the operating point ofaverage interflake spacing for irregular structure is the critical splitting state of β(Si)-liquidinterface. The scaling laws derived, which have more general forms than the classicJackson-Hunt scaling, gained support from the experimental results.

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