Application of chord length distributions and principal component analysis for quantification and representation of diverse polycrystalline microstructures
Application of chord length distributions and principal component analysis for quantification and representation of diverse polycrystalline microstructures
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DOI：
10.1016/j.matchar.2018.09.020
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发表时间：
2018-11
影响因子：
4.7
通讯作者：
M. Latypov;Markus Kühbach;I. Beyerlein;J. Stinville;L. Toth;T. Pollock;S. Kalidindi
中科院分区：
文献类型：
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作者：
M. Latypov;Markus Kühbach;I. Beyerlein;J. Stinville;L. Toth;T. Pollock;S. Kalidindi
多晶材料的介观微观结构的量化对于材料设计和开发的一系列实际任务是重要的。目前量化晶粒尺寸和形态的方案通常依赖于微观结构度量（例如，平均粒径），忽略了介观结构的重要细节。在这项工作中，我们提出了一个量化框架的基础上，定向解决弦长分布和主成分分析作为一种手段，从2-D显微结构图提取额外的信息。为此，我们首先详细介绍了一种基于现代数字数据集中可用的边界段计算弦长分布的方法（例如，来自显微镜后处理）及其通过主成分分析的低秩表示。所提出的框架捕获晶粒尺寸，形态和它们的各向异性的有效的可视化，表示和规范的多晶显微组织的效用，然后证明在案例研究中的数据集从合成一代，实验（镍基高温合金），和模拟（钢在再结晶过程中）。
Quantification of mesoscale microstructures of polycrystalline materials is important for a range of practical tasks of materials design and development. The current protocols of quantifying grain size and morphology often rely on microstructure metrics (e.g., mean grain diameter) that overlook important details of the mesostructure. In this work, we present a quantification framework based on directionally resolved chord length distribution and principal component analysis as a means of extracting additional information from 2-D microstructural maps. Towards this end, we first present in detail a method for calculating chord length distribution based on boundary segments available in modern digital datasets (e.g., from microscopy post-processing) and their low-rank representations by principal component analysis. The utility of the proposed framework for capturing grain size, morphology, and their anisotropy for efficient visualization, representation, and specification of polycrystalline microstructures is then demonstrated in case studies on datasets from synthetic generation, experiments (on Ni-base superalloys), and simulations (on steel during recrystallization).