纯铁晶粒拓扑构形的定量研究

A Quantitative Investigation of Topological Structure of Grains of Pure Iron

  • 摘要: 本文采用系列截面法,较系统地对退火纯铁晶粒的拓扑构形进行了实验研究,并着重分析了拓扑参量的分布特性及有关规律。

     

    Abstract: The topological properties of annealed pure iron have been experimentally investigated by means of serial sectioning method, with emphasis on the characteristics of their distributions. The average values of basic topological parameters have been found close to those of Coxeter's statistical honeycomb or tetrakaidecahedra.The experimental distribution of the number of edges per grain face is lognormal with a mode of four.Empirical linear relations between the number of grain faces (or grain edges and grain corners) and spatial diameters of grains have been established.The experimental results also support the existing empirical linear relations between the geometric standard deviation of the distribution of grain volume and that of the distribution of the number of edges per grain face or the fraction of grain faces with no more than three edges.

     

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