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arXiv 0811.2314cond-mat.mtrl-sci
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形核与长大控制的固相转变数值模型。等温结晶过程中的微观结构演变

Numerical model of solid phase transformations governed by nucleation and growth. Microstructure development during isothermal crystallization

J. Farjas, P. Roura

摘要:

本文提出了一个简单的数值模型,计算了随机分布形核和各向同性生长的结晶动力学。该模型可以应用于不同的热历史,没有限制的时间和温度的成核和生长速率的依赖关系。我们还开发了一种算法,评估相应的新兴的粒度分布。该算法易于实现,特别灵活,使其能够模拟几个实验条件。它的简单性和最低的计算机要求允许高精度的二维和三维生长模拟。该算法被应用于探索几个形核制度的等温处理过程中的晶粒形态发展。特别是,热成核,预先存在的核和这两种成核机制的组合进行了分析。对于前两种情况,得到了普遍的晶粒尺寸分布。该模型的高精度是从它的分析预测比较。最后,Kolmogorov-Johnson-Mehl-Avrami模型的有效性进行了验证的所有情况下研究。

英文摘要:

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed on the time and the temperature dependencies of the nucleation and growth rates. We also develop an algorithm which evaluates the corresponding emerging grain size distribution. The algorithm is easy to implement and particularly flexible making it possible to simulate several experimental conditions. Its simplicity and minimal computer requirements allow high accuracy for two- and three-dimensional growth simulations. The algorithm is applied to explore the grain morphology development during isothermal treatments for several nucleation regimes. In particular, thermal nucleation, pre-existing nuclei and the combination of both nucleation mechanisms are analyzed. For the first two cases, the universal grain size distribution is obtained. The high accuracy of the model is stated from its comparison to analytical predictions. Finally, the validity of the Kolmogorov-Johnson-Mehl-Avrami model is verified for all the cases studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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