线圈-坩埚几何形状在直拉法生长锗酸铋（BGO）晶体过程中的作用：热应力分析
Role of coil-crucible geometry in Czochralski bismuth germanate (BGO) crystal growth process: a thermal stress analysis
摘要：
建立了氧化物直拉晶体生长系统中电磁场、热量分布和热应力扩展的稳态水平二维有限元数值模型。利用扩展模型比较了不同几何形状的感应圈和坩埚对生长过程的影响。结果分析强调了修改后的几何形状在改变电磁场和热分布方面的潜力。因此，可以实现晶体/熔体界面形状、热应力积累和生长晶体中的分布的优化。最后，对所提出的热应力计算方法进行了比较。结果表明，两种热弹性应力分析方法在计算BGO晶体内部应力分布时定性一致。
英文摘要：
A numerical model of 2D finite element in a steady-state level was developed for the electromagnetic field, heat distribution, and thermal stress expansion in an oxide Czochralski crystal growth system. The extended model was employed to compare the impact of different geometries of induction coils and crucibles in the growth process. Analysis of the results emphasizes the potential of the modified geometries in alteration of the electromagnetic field and heat distribution. Consequently, the optimization of crystal/melt interface shape, thermal stress accumulation, and distribution in the growing crystal can be achieved. Finally, the proposed approaches for thermal stress calculations were compared. The outcomes showed a qualitative agreement between two methods of thermoelastic stress analysis in the calculation of stress distribution in BGO crystal.
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