International Journal of Materials Science and Applications

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Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials

Received: 16 November 2014    Accepted: 28 November 2014    Published: 02 December 2014
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Abstract

Numerical simulations based on the Monte Carlo Potts model are used to study the temporal change of the grain size distribution of two-phase polycrystalline materials, where both phases grow simultaneously. After a sufficiently long time, grain growth in such two-phase systems can be characterized by a self-similar scaled grain size distribution function and an associated growth law. In particular, the grain size distribution is analyzed for a broad range of second phase volume fractions and found to vary with the volume fraction such that the size distribution becomes narrower and higher peaked with decreasing volume fraction of the second phase, where particularly the normal distribution function describes the simulation results very well. On the other hand, for one-phase systems the grain size distribution is in excellent agreement with an analytical grain size distribution function based on a statistical mean-field theory of grain growth that is completely compatible with the principal physical condition of total volume conservation.

DOI 10.11648/j.ijmsa.20140306.26
Published in International Journal of Materials Science and Applications (Volume 3, Issue 6, November 2014)
Page(s) 381-390
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Monte Carlo, Grain Growth, Grain Size Distribution, Grain Structure, Polycrystalline Materials

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Author Information
  • Physics Department, Al-Aqsa University, Gaza, Palestine

  • Institute for Theoretical Physics, Otto von Guericke University Magdeburg, Magdeburg, Germany

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  • APA Style

    Rifa J. El-Khozondar, Dana Zӧllner, Klaus Kassner. (2014). Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials. International Journal of Materials Science and Applications, 3(6), 381-390. https://doi.org/10.11648/j.ijmsa.20140306.26

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    ACS Style

    Rifa J. El-Khozondar; Dana Zӧllner; Klaus Kassner. Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials. Int. J. Mater. Sci. Appl. 2014, 3(6), 381-390. doi: 10.11648/j.ijmsa.20140306.26

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    AMA Style

    Rifa J. El-Khozondar, Dana Zӧllner, Klaus Kassner. Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials. Int J Mater Sci Appl. 2014;3(6):381-390. doi: 10.11648/j.ijmsa.20140306.26

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  • @article{10.11648/j.ijmsa.20140306.26,
      author = {Rifa J. El-Khozondar and Dana Zӧllner and Klaus Kassner},
      title = {Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials},
      journal = {International Journal of Materials Science and Applications},
      volume = {3},
      number = {6},
      pages = {381-390},
      doi = {10.11648/j.ijmsa.20140306.26},
      url = {https://doi.org/10.11648/j.ijmsa.20140306.26},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijmsa.20140306.26},
      abstract = {Numerical simulations based on the Monte Carlo Potts model are used to study the temporal change of the grain size distribution of two-phase polycrystalline materials, where both phases grow simultaneously. After a sufficiently long time, grain growth in such two-phase systems can be characterized by a self-similar scaled grain size distribution function and an associated growth law. In particular, the grain size distribution is analyzed for a broad range of second phase volume fractions and found to vary with the volume fraction such that the size distribution becomes narrower and higher peaked with decreasing volume fraction of the second phase, where particularly the normal distribution function describes the simulation results very well. On the other hand, for one-phase systems the grain size distribution is in excellent agreement with an analytical grain size distribution function based on a statistical mean-field theory of grain growth that is completely compatible with the principal physical condition of total volume conservation.},
     year = {2014}
    }
    

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    T1  - Numerical Simulation of Grain Size Distribution in Two-Phase Polycrystalline Materials
    AU  - Rifa J. El-Khozondar
    AU  - Dana Zӧllner
    AU  - Klaus Kassner
    Y1  - 2014/12/02
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    T2  - International Journal of Materials Science and Applications
    JF  - International Journal of Materials Science and Applications
    JO  - International Journal of Materials Science and Applications
    SP  - 381
    EP  - 390
    PB  - Science Publishing Group
    SN  - 2327-2643
    UR  - https://doi.org/10.11648/j.ijmsa.20140306.26
    AB  - Numerical simulations based on the Monte Carlo Potts model are used to study the temporal change of the grain size distribution of two-phase polycrystalline materials, where both phases grow simultaneously. After a sufficiently long time, grain growth in such two-phase systems can be characterized by a self-similar scaled grain size distribution function and an associated growth law. In particular, the grain size distribution is analyzed for a broad range of second phase volume fractions and found to vary with the volume fraction such that the size distribution becomes narrower and higher peaked with decreasing volume fraction of the second phase, where particularly the normal distribution function describes the simulation results very well. On the other hand, for one-phase systems the grain size distribution is in excellent agreement with an analytical grain size distribution function based on a statistical mean-field theory of grain growth that is completely compatible with the principal physical condition of total volume conservation.
    VL  - 3
    IS  - 6
    ER  - 

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