Abstract This paper develops necessary preprocessors for image-based micromechanical analysis of polycrystalline-polyphase microstructures of Al alloys such as Al7075-T651. Starting from input data in the form of electron back scatter diffraction (EBSD) and scanning electron microscopy (SEM) maps of orthogonal surfaces of experimental specimens, the paper creates a robust methodology for generating 3D statistically equivalent virtual microstructures (3D-SEVMs) by 3D stereological projection of 2D statistical distribution and correlation functions using a genetic algorithm (GA)-based numerical algorithm. Validation studies of the SEVM reconstruction process by comparing with morphological and crystallographic distributions of grains and precipitates from the experiments. Next, microstructure-based statistically equivalent representative volume element (M-SERVE) that corresponds to the minimum sized SERVE for convergence of morphological or crystallographic distributions, are established using the Kolmogorov–Smirnov (KS) tests. Finally, property-based statistically equivalent RVE (P-SERVE), defined as the smallest SERVE for predicting response functions (both effective and local), are estimated by conducting crystal plasticity finite-element simulations. Convergence plots of material response functions are used to assess the P-SERVE. Comparison of M-SERVE and P-SERVE sizes are made to comprehend microstructure-property relations.

中文翻译：

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基于微观结构和性能的多晶-多相铝合金统计等效 RVE

摘要 本文为Al7075-T651等铝合金的多晶-多相显微组织的基于图像的微观力学分析开发了必要的预处理器。从电子背散射衍射 (EBSD) 形式的输入数据和实验样品正交表面的扫描电子显微镜 (SEM) 图开始，本文创建了一种稳健的方法，用于通过 3D 生成 3D 统计等效虚拟微结构 (3D-SEVM)。使用基于遗传算法 (GA) 的数值算法对二维统计分布和相关函数进行立体投影。通过与实验中晶粒和沉淀物的形态和晶体分布进行比较，对 SEVM 重建过程进行了验证研究。下一个，使用 Kolmogorov-Smirnov (KS) 测试建立基于微观结构的统计等效代表性体积元素 (M-SERVE)，其对应于用于收敛形态学或晶体学分布的最小尺寸 SERVE。最后，通过进行晶体塑性有限元模拟来估计基于属性的统计等效 RVE (P-SERVE)，定义为用于预测响应函数（有效和局部）的最小 SERVE。材料响应函数的收敛图用于评估 P-SERVE。比较 M-SERVE 和 P-SERVE 尺寸以了解微观结构-性能关系。基于属性的统计等效 RVE (P-SERVE)，定义为用于预测响应函数（有效和局部）的最小 SERVE，通过进行晶体塑性有限元模拟来估计。材料响应函数的收敛图用于评估 P-SERVE。比较 M-SERVE 和 P-SERVE 尺寸以了解微观结构-性能关系。基于属性的统计等效 RVE (P-SERVE)，定义为用于预测响应函数（有效和局部）的最小 SERVE，通过进行晶体塑性有限元模拟来估计。材料响应函数的收敛图用于评估 P-SERVE。比较 M-SERVE 和 P-SERVE 尺寸以了解微观结构-性能关系。