考虑取向扩展及其时间演化的静态再结晶平均场模型
A mean-field model of static recrystallization considering orientation spreads and their time-evolution
摘要：
本文建立了一个模拟晶体材料静态再结晶过程中微观结构演化的平均场模型。该模型考虑了在均匀介质中生长的单个细胞（即晶粒和亚晶粒）的群体，代表平均微观结构特性。计算生长速率所需的单个细胞和介质的平均边界性质，作为微观结构拓扑结构和晶体取向分布的函数进行统计估计。再结晶颗粒是由细胞间的竞争生长产生的。在介绍了该算法之后，将该模型与用2D顶点模型进行的再结晶全场模拟进行了比较。结果表明，平均场模型准确地预测了边界性质随时间的演变，以及几个再结晶参数，包括动力学和晶粒取向。结果允许一个调查的作用，取向传播的边界属性的确定，再结晶晶粒的形成和再结晶动力学。该模型可用于实验获得的输入，以研究变形和再结晶组织之间的关系。
英文摘要：
In this paper, we develop a mean-field model for simulating the microstructure evolution of crystalline materials during static recrystallization. The model considers a population of individual cells (i.e. grains and subgrains) growing in a homogeneous medium representing the average microstructure properties. The average boundary properties of the individual cells and of the medium, required to compute growth rates, are estimated statistically as a function of the microstructure topology and of the distribution of crystallographic orientations. Recrystallized grains arise from the competitive growth between cells. After a presentation of the algorithm, the model is compared to full-field simulations of recrystallization performed with a 2D Vertex model. It is shown that the mean-field model predicts accurately the evolution of boundary properties with time, as well as several recrystallization parameters including kinetics and grain orientations. The results allow one to investigate the role the orientation spread on the determination of boundary properties, the formation of recrystallized grains and recrystallization kinetics. The model can be used with experimentally obtained inputs to investigate the relationship between deformation and recrystallization microstructures.
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