Estimation of Number of Precipitate Particles per Unit Volume from Measurements on Polished Specimen Surfaces-Computer Simulation
Estimation of Number of Precipitate Particles per Unit Volume from Measurements on Polished Specimen Surfaces-Computer Simulation
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根据抛光样品表面的测量估算每单位体积沉淀颗粒的数量 - 计算机模拟
DOI：
10.2355/isijinternational.40.1142
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发表时间：
2000
影响因子：
1.8
通讯作者：
M. Enomoto
中科院分区：
文献类型：
--
作者：
Atsushi Umezaki;M. Enomoto
在相变动力学的研究中，通常采用体视分析来根据抛光表面上测量的颗粒数来确定样品体积中沉淀颗粒的数量。通过计算机模拟研究了将 Schwartz-Saltykov 直径分析应用于实际微观结构测量时可能出现的误差来源。颗粒以固定体积生成，并且它们的尺寸以规定的成核和生长速率增加。在随机平面上测量截面的数量和尺寸分布，并计算每单位体积的颗粒数量的时间变化。事实证明，如果 D max 小于实际最大颗粒尺寸的 3-5 倍，则每次测量中根据微观结构确定的最大颗粒尺寸 D max 的不确定性不会引起明显的误差。颗粒尺寸的增加和撞击可能会产生抛光平面上表观颗粒数量的时间变化与样本体积中实际颗粒数量的变化非常不同的时间变化。颗粒的非球形性，尤其是沿一个方向拉长的颗粒（例如长椭球体），如果将其视为球形颗粒，可能会导致大量误差。
In studies of phase transformation kinetics a stereological analysis is often employed to determine the number of precipitate particles in the specimen volume from particle numbers measured on polished surfaces. Possible sources of error in applying Schwartz-Saltykov diameter analysis to measurements in actual microstructures were studied by computer simulation. Particles were generated in a fixed volume and their sizes were increased at prescribed nucleation and growth rates. The number and size distribution of sections were measured on random planes and the temporal variation of particle numbers per unit volume was calculated. It is demonstrated that the uncertainty of D max , the maximum particle size to be determined from microstructure in each measurement, does not cause an appreciable amount of error if D max is less than 3-5 times the actual maximum particle size. The increase in size and impingement of particles can produce a very different temporal variation of apparent particle numbers on the plane of polish from the variation of actual particle numbers in the specimen volume. The non-sphericity of particles, especially particles elongated in one direction (e.g. prolate ellipsoids), may cause a significant amount of error if they are treated as spherical particles.