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An analytical model for isothermal and isochronal transformation kinetics

机译:等温和等时转化动力学的解析模型

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An analytical model for the kinetics of phase transformations has been discussed that combines three overlapping processes: nucleation, growth, and impingement. Two kinds of nucleation have been considered in particular: a mixture of site saturation and continuous nucleation and Avrami nucleation. In combination with either interface-controlled growth or volume diffusion controlled growth, and incorporating the effect of impingement of the growing particles, a general analytical description of the transformation kinetics has been given for both isothermally and isochronally conducted transformations. The corresponding kinetic parameters are time and temperature dependent. In specific, limiting cases, the model reduces to the so-called Johnson-Mehl-Avrami description of transformation kinetics. The analytical model has been verified by exact results obtained from numerical calculations. The influences of the different nucleation and growth modes on the time and temperature dependencies of the transformation rate and the kinetic parameters have been demonstrated. (C) 2004 Kluwer Academic Publishers. [References: 15]
机译:讨论了相变动力学的分析模型,该模型结合了三个重叠过程:成核,生长和撞击。特别考虑了两种成核:位点饱和和连续成核与Avrami成核的混合。与界面控制的生长或体积扩散控制的生长相结合,并结合了正在生长的粒子的撞击作用,已经对等温和等时进行的转化给出了转化动力学的一般分析描述。相应的动力学参数取决于时间和温度。在特定的有限情况下,模型简化为所谓的Johnson-Mehl-Avrami对转换动力学的描述。分析模型已通过数值计算获得的准确结果进行了验证。已经证明了不同成核和生长方式对转化率和动力学参数的时间和温度依赖性的影响。 (C)2004 Kluwer学术出版社。 [参考:15]

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