Static recrystallization is a process whereby dislocation-free grains are nucleated in a deformed microstructure, and then newly recrystallized grains grow and consume the previously existing grains. This paper describes a phase field model for static recrystallization, along with details of the implementation and simulation results. Recrystallized grains are seeded utilizing a probability-based method, including a hold time to allow the order parameters to adjust to seeded grains. The nominal simulation time is corrected to account for the nuclei hold and for the time required for a nucleus to grow from its critical size to the seeded size. Microstructural evolution was simulated for two- and three-dimensional systems, and the fraction recrystallized was quantified via Avrami kinetics. The resulting Avrami time exponents were in agreement with the expected values for site-saturated nucleation. The variability in the Avrami parameters was quantified by simulating the recrystallization of the same underlying polycrystalline microstructure but using different seed locations. Additional simulations were performed to determine the influence of the deformed microstructure on recrystallization, specifically investigating the effects of the spatial distribution of the initial dislocation density within the microstructure as well as the morphologies of the polycrystalline microstructure. For the significantly deformed polycrystalline microstructures examined in this work, it is shown that microstructural evolution is primarily driven by stored energy in dislocations rather than grain boundary energy.

中文翻译：

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变形组织静态再结晶相场模型的灵敏度分析

静态再结晶是无位错晶粒在变形的显微组织中形核，然后新的再结晶晶粒长大并消耗先前存在的晶粒的过程。本文描述了静态再结晶的相场模型，以及实现和模拟结果的详细信息。使用基于概率的方法对再结晶晶粒进行播种，包括保持时间以允许顺序参数调整到播种晶粒。标称模拟时间经过校正，以考虑到原子核保持以及原子核从其临界尺寸增长到种子尺寸所需的时间。模拟二维​​和三维系统的微观结构演变，并通过 Avrami 动力学量化重结晶的分数。所得的 Avrami 时间指数与位点饱和成核的预期值一致。Avrami 参数的可变性通过模拟相同的底层多晶微观结构的再结晶但使用不同的种子位置来量化。进行了额外的模拟以确定变形微观结构对再结晶的影响，特别是研究微观结构内初始位错密度的空间分布以及多晶微观结构的形态的影响。对于在这项工作中检查的显着变形的多晶微观结构，表明微观结构演变主要是由位错中存储的能量而不是晶界能量驱动的。