arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.2308cond-mat.mtrl-sci
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连续加热条件下的固相结晶:动力学和微观结构标度律

Solid phase crystallization under continuous heating: kinetic and microstructure scaling laws

J. Farjas, P. Roura

摘要:

分析了连续加热和晶核随机分布条件下的固相晶化动力学和微观结构。假设成核速率和生长速率都与阿氏温度有关。在这些情况下,系统具有标度律,使得标度系统的行为与加热速率无关。因此,在不同的加热速率下获得的动力学和微观结构仅在时间和长度标度因子上不同。关于动力学,示出了扩展体积随时间按照α_ex=[exp(kappa Ct)]^m+1演化,其中t'是无量纲时间。这种规模化的解决方案不仅代表了系统描述的显著简化,而且还提供了新的分析工具。例如,它已经有可能找到一个分析的动力学参数上的最终平均晶粒尺寸的依赖关系。关于微观结构,存在的长度缩放因子允许的晶粒尺寸分布的动力学参数的函数进行数值计算。

英文摘要:

The kinetics and microstructure of solid-phase crystallization under continuous heating conditions and random distribution of nuclei are analyzed. An Arrhenius temperature dependence is assumed for both nucleation and growth rates. Under these circumstances, the system has a scaling law such that the behavior of the scaled system is independent of the heating rate. Hence, the kinetics and microstructure obtained at different heating rates differ only in time and length scaling factors.Concerning the kinetics, it is shown that the extended volume evolves with time according to alpha_ex=[exp(kappa Ct)]^m+1, where t' is the dimensionless time. This scaled solution not only represents a significant simplification of the system description, it also provides new tools for its analysis. For instance, it has been possible to find an analytical dependence of the final average grain size on kinetic parameters. Concerning the microstructure, the existence of a length scaling factor has allowed the grain-size distribution to be numerically calculated as a function of the kinetic parameters.

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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