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Estimation of Three-dimensional Grain Size Distribution in Polycrystalline Material
Title: | Estimation of Three-dimensional Grain Size Distribution in Polycrystalline Material |
Authors: | Matsuura, Kiyotaka Browse this author →KAKEN DB | Itoh, Youichi Browse this author |
Keywords: | grain size distribution | three dimensions | grain shape | grain size | polycrystalline |
Issue Date: | Nov-1991 |
Publisher: | The Japan Institute of Metals |
Journal Title: | Materials Transactions, JIM |
Volume: | 32 |
Issue: | 11 |
Start Page: | 1042 |
End Page: | 1047 |
Publisher DOI: | 10.2320/matertrans1989.32.1042 |
Abstract: | A new method has been proposed for the estimation of the three-dimensional grain size distribution from the two-dimensional distribution measured on the cross section of polycrystalline material. In this method, twelve types of polyhedra were employed as the grain models. The distributions of the cross-sectional diameters of the individual polyhedra were expressed as probability density functions. On the basis of the functions for each polyhedron, the supposed grain size distribution on the cross section of the material was calculated, and it was compared with the measured one. The comparison was repeated until the agreement between the both distributions. By operating this two-dimensional distribution reversely, the three-dimensional grain size distribution was estimated.
The distribution of the vertex number of polygon-shaped grains on the cross section and that of the face number of polyhedron-shaped grains in three dimensions were calculated from the obtained results and were compared with the measured distributions. There was a good agreement between these distributions. |
Type: | article |
URI: | http://hdl.handle.net/2115/75809 |
Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 松浦 清隆
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