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基于采用晶体有序化程度参量ψ和晶体学取向θ来表示多晶粒结构的相场模型,利用自适应有限元方法模拟了多晶材料等温过程中的晶粒粗化现象.模拟结果显示,在曲率作用下,通过晶界迁移弯曲晶界逐渐平直化,小晶粒逐渐被大晶粒吞并,当晶界之间的取向差较小时,满足一定能量和几何条件的两晶粒在界面能作用下会发生转动,合并为单个晶粒.模拟结果与实验结果符合较好.因此,该相场模型可以很好地用来模拟固态相变中多晶材料的生长粗化等现象.
Based on the phase-field model of multi-grain structure using parameter ψ and crystallographic orientation θ, the grain coarsening phenomenon of polycrystalline material is simulated by using adaptive finite element method. The simulation results show that, Under the action of the curvature, the grain boundaries gradually straighten out through the grain boundary migration, the small grains are gradually swallowed by the large grains, and when the orientation difference between the grain boundaries is small, two grains satisfying certain energy and geometry conditions are formed at the interface Which can rotate and merge into single grains.The simulation results are in good agreement with the experimental results.Thus, the phase field model can be well used to simulate the growth of polycrystalline materials in solid state transformation.