Papathanasiou Thanasis D, Tsiantis Andreas, Wang Yanwei
Department of Mechanical Engineering, University of Thessaly, 383-34 Volos, Greece.
Department of Chemical and Materials Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Nur-Sultan 010000, Kazakhstan.
Materials (Basel). 2022 Feb 19;15(4):1560. doi: 10.3390/ma15041560.
We present a novel method for the determination of the lateral dimensions of thin rectangular flakes, as they exist randomly dispersed in flake composites. Knowledge of flake size and shape is essential for the correct prediction of the mechanical, electrical, thermal and barrier properties of flake composites. The required information is the distribution function of lengths of the lines representing the intersection of flakes with a sectioning plane, as seen in cross-sections of composite samples used in optical or electron microscopy or obtained using tomographic imaging techniques. The key observation is that the major peak of the distribution function coincides with the short dimension of the flake while a secondary peak corresponds to its long dimension . These observations are explained using Monte-Carlo simulations, as well as deterministic, geometry-based modeling and probability analysis. Since the strength of the secondary peak diminishes with increasing flake aspect ratio r=W/S, we develop two additional methods for the determination of . The first finds from the maximum intersection length; this procedure is justified by computing the relevant probability fields through Monte-Carlo simulations. The second method finds from the average intersection length and is valid in the range 1<r<15. The performance of these techniques is tested and found to be very good using blind experiments in numerically sectioned specimens.
我们提出了一种用于确定薄矩形薄片横向尺寸的新方法，这些薄片随机分散在薄片复合材料中。薄片的尺寸和形状信息对于正确预测薄片复合材料的机械、电气、热学和阻隔性能至关重要。所需信息是表示薄片与切片平面相交的线的长度分布函数，如在光学或电子显微镜中使用的复合样品横截面中所见，或使用断层成像技术获得的横截面中所见。关键观察结果是，分布函数的主峰与薄片的短尺寸重合，而次峰对应于其长尺寸。这些观察结果通过蒙特卡罗模拟以及基于确定性几何的建模和概率分析进行了解释。由于次峰的强度随着薄片纵横比r = W/S的增加而减弱，我们开发了另外两种确定 的方法。第一种方法从最大相交长度中找到 ；通过蒙特卡罗模拟计算相关概率场，证明了该过程的合理性。第二种方法从平均相交长度中找到 ，并且在1<r<15的范围内有效。通过对数值切片标本进行盲实验，测试了这些技术的性能，发现其性能非常好。
