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Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth

机译:纳米晶晶粒长大的晶粒尺寸分布和演化方程

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摘要

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.
机译:通过将每种类型的晶界结归因于其自身的比能和有限的迁移率,可以模拟在纳米晶粒生长中观察到的尺寸效应。通过将晶粒生长视为耗散过程,该过程由吉布斯自由界面和结能的减少而驱动,由此得出了一般晶粒演化方程,该方程可分为九种可能的生长动力学。得出相应的自相似晶粒尺寸分布,并将其与修改后的Monte Carlo Potts模型模拟的结果进行比较,并考虑到三重和四重结有限晶粒生长中的尺寸效应。

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