Three-dimensional grain topology–size relationships in a real metallic polycrystal compared with theoretical models

Three-dimensional grain topology–size relationships in a real metallic polycrystal compared with theoretical models
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DOI:
10.1016/s0921-5093(01)01497-6
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发表时间:
2002-03
影响因子:
6.4
通讯作者:
Guoquan Liu;Haibo Yu;X. Qin
Guoquan Liu;Haibo Yu;X. Qin
中科院分区:
材料科学1区
文献类型:
--
作者:
Guoquan Liu;Haibo Yu;X. Qin

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Grain topology–size relationships are of great significance for a better understanding of the polycrystalline microstructures and grain growth processes. However, experimental observations of the three-dimensional grain topology in real materials are extremely rare. In this paper, the topology and the size of 1215 three-dimensional grains in a real steel sample were quantitatively analyzed with the aid of serial sectioning technique. The results showed that a linear quantitative relationship exists between the number of the faces (F) and the mean tangent diameter of individual grains as theoretically predicted by DeHoff–Liu's model (Metall. Trans. 16A (1985) 2007). It can be written as F=2.0+(〈F〉-2) uT, where uTis the normalized mean tangent diameter, 〈F〉 is the mean value of F averaged over all the grains. However, the experimental relationship became F=a+bue+cue2when the normalized sphere-equivalent diameter (ue) was used. Limitations of DeHoff–Liu's model and possible correlation between the two kinds of grain size parameters were also discussed in this paper.