Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth

Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth
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纳米晶粒生长中的晶粒尺寸分布和演化方程

DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
D. Zöllner
D. Zöllner
中科院分区：
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文献类型：
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作者：
P. Streitenberger;D. Zöllner

文献摘要

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通过将每种类型的晶界结归因于自己的特定能量和有限的迁移率，对纳米晶晶粒生长中观察到的尺寸效应进行了建模。通过将晶粒生长视为由吉布斯自由界面和结能减少驱动的耗散过程，导出了一般晶粒演化方程，该方程分为九种可能的生长动力学。推导了相应的自相似晶粒尺寸分布，并将其与修正的 Monte Carlo Potts 模型模拟的结果进行比较，同时考虑了三结和四结限制晶粒生长的尺寸效应。
Size effects observed in nanocrystalline grain growth are modeled by attributing each type of grain boundary junction an own specific energy and finite mobility. By considering grain growth as a dissipative process that is driven by the reduction of the Gibbs free interface and junction energy a general grain evolution equation is derived that separates into nine types of possible growth kinetics. The corresponding self-similar grain size distributions are derived and compared with results from modified Monte Carlo Potts model simulations taking into account size effects in triple and quadruple junction limited grain growth.