Abstract In a recent paper, we reported the methodology to calculate intragranular fluctuations in the instantaneous lattice rotation rates in polycrystalline materials within the mean-field viscoplastic self-consistent (VPSC) model. This paper is concerned with the time integration and subsequent use of these fluctuations to predict orientation-dependent misorientation distributions developing inside each grain representing the polycrystalline aggregate. To this end, we propose and assess two approaches to update the intragranular misorientation distribution within the VPSC framework. To illustrate both approaches, we calculate intragranular misorientations in face-centered cubic polycrystals deformed in tension and plane-strain compression. These predictions are tested by comparison with corresponding experiments for polycrystalline copper and aluminum, respectively, and with full-field calculations. It is observed that at sufficiently high strains some grains develop large misorientations that may lead to grain fragmentation and/or act as driving forces for recrystallization. The proposed VPSC-based prediction of intragranular misorientations enables modeling of grain fragmentation, as well as a more accurate modeling of texture using a computationally efficient mean-field approach, as opposed to computationally more expensive full-field approaches.

中文翻译：

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使用粘塑性自洽公式预测多晶金属中的晶内取向差分布

摘要 在最近的一篇论文中，我们报道了在平均场粘塑性自洽 (VPSC) 模型中计算多晶材料瞬时晶格旋转速率的晶内波动的方法。本文关注时间积分和随后使用这些波动来预测在代表多晶聚集体的每个晶粒内发展的取向相关的取向差分布。为此，我们提出并评估了两种方法来更新 VPSC 框架内的颗粒内定向错误分布。为了说明这两种方法，我们计算了在拉伸和平面应变压缩中​​变形的面心立方多晶中的晶粒内取向差。这些预测分别通过与多晶铜和铝的相应实验进行比较以及全场计算进行了测试。据观察，在足够高的应变下，一些晶粒会产生大的取向错误，这可能导致晶粒破碎和/或作为再结晶的驱动力。与计算成本更高的全场方法相比，所提出的基于 VPSC 的颗粒内错误取向预测能够对颗粒破碎进行建模，以及使用计算效率更高的平均场方法对纹理进行更准确的建模。