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On the relation between the number-weighted and volume-weighted grain volume distribution parameters

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Abstract

Quantitative relations are shown to exist between the number-weighted and the volume-weighted grain volume distribution parameters, provided the theoretical grain volume distribution function (GVDF) is given. These relations have been derived when the GVDF is described by a gamma or a lognormal distribution function. By comparing the experimental data of austenite grains in a lowcarbon steel to those reported in literature, it is shown that the GVDF may be described more appropriately by a gamma than by a lognormal distribution function. Furthermore, a new method for calculating the GVDF from measurements made on random plane sections has been discussed and justified.

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Author notes

  1. Haibo Yu (Doctoral Student, Technology)

    Present address: Department of Materials Science and Engineering, Beijing University of Science, Beijing

  2. Xiaoyan Song (Doctoral Student)

    Present address: Department of Materials Science and Engineering, Beijing University of Science and Technology, Beijing

Authors and Affiliations

  1. the Department of Applied Physics, Beijing Institute of Technology, 100081, Beijing, People’s Republic of China

    Haibo Yu (Doctoral Student, Technology)

  2. the Graduate School, Department of Materials Science and Engineering, Beijing University of Science and Technology, 100083, Beijing, People’s Republic of China

    Guoquan Liu (Professor)

  3. the Department of Materials Science and Engineering, Hebei University of Technology, 300130, Tianjin, People’s Republic of China

    Xiaoyan Song (Doctoral Student)

Authors
  1. Haibo Yu
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  2. Guoquan Liu
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  3. Xiaoyan Song
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Yu, H., Liu, G. & Song, X. On the relation between the number-weighted and volume-weighted grain volume distribution parameters. Metall Mater Trans A 29, 3081–3086 (1998). https://doi.org/10.1007/s11661-998-0215-x

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  • DOI: https://doi.org/10.1007/s11661-998-0215-x

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