Kinetics of Normal Grain Growth Depending on the Size Distribution of Small Grains
Kinetics of Normal Grain Growth Depending on the Size Distribution of Small Grains
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正常晶粒生长的动力学取决于小晶粒的尺寸分布
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
K. Morita
中科院分区：
文献类型：
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作者：
Byung‐Nam Kim;K. Hiraga;K. Morita
推导出正常晶粒生长动力学与小晶粒尺寸分布之间的理论关系。当在稳定状态下归一化晶粒尺寸r的分布在r=0附近与rm成比例时，晶粒生长指数n被揭示为m+1。从平均场模型的分析中也得到了同样的关系。与现有的晶粒长大模型和数值模拟结果的一致性证实了该关系的有效性。截面上的粒度分布与实验结果一致。结果发现，对数正态函数是不是一个稳态的正常晶粒生长的尺寸分布n=2，即使它可以近似实验的尺寸分布。所得到的关系也被证明是适用于通过奥斯特瓦尔德熟化颗粒粗化。
A theoretical relationship is derived between the kinetics of normal grain growth and the size distribution of small grains. When the distribution of the normalized grain size r is proportional to rm around r=0 in a steady state, the grain growth exponent n is revealed to be m+1. The same relationship is also derived from the analysis of the mean field model. The validity of this relationship is confirmed from the consistence with existing grain-growth models and numerical simulations. Experimental consistence is observed with the size distribution on sectional surface. It is found that a log-normal function is not a steady-state size distribution for normal grain growth with n=2, even though it may approximate experimental size distributions. The obtained relationship is also shown to be applicable to particle coarsening by Ostwald-ripening.