Phase field model derivation for rapid crystal growth in polycrystalline alloys

Phase field model derivation for rapid crystal growth in polycrystalline alloys
复制标题

多晶合金中晶体快速生长的相场模型推导

DOI:
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发表时间:
2020
期刊:
影响因子:
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通讯作者:
A. Ivanov
A. Ivanov
中科院分区:
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文献类型:
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作者:
I. Nizovtseva;N. Moelans;A. Ivanov

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建立了多晶粒快速生长的相场模型。利用多元合金体系中多晶生长的多相模型和快速相变模型,将结晶过程中的吉布斯自由能变化作为多晶生长的驱动力。快速相变的模型,它不仅引入了经典的慢变量(浓度,化学势和相场),但也快的(扩散通量和梯度流),被用来捕捉通常发生在快速凝固和快速固态转变的时间短。快速结晶的演化方程是使用多相插值函数之间的生长多晶粒。
A phase field model of rapid multi–grain growth is developed. Using a multi–phase model for polycrystalline growth in multi–component alloying systems and the model of fast phase transformations, the Gibbs free energy change on crystallization is formulated as a driving force for polycrystalline growth. The model of fast phase transitions, which introduces not only classical slow variables (concentration, chemical potential and phase field), but also the fast ones (diffusion flux and gradient flow), was used to capture short periods of times usually occurring in the rapid solidification and in the fast solid-state transformations. The evolution equations for the fast crystallization are written using multi–phase interpolation functions among growing polycrystallites.