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Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes

Received: 10 May 2018     Accepted: 30 May 2018     Published: 11 July 2018
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Abstract

Based on the rotational symmetry of the principal axes of X [100], Y [010] and Z [001], in fcc metal 24 possible combinations of the five slips on {111} planes on <110> direction while in bcc metal 72 possible combinations of the five slips on {110} planes on <111> direction by intersection of two kinds of {110} planes from the three ones composed of {110}, {101} and {011} are respectively chosen both based on Taylor’s formidable restriction rule of the five slips. In fcc metal, orientation at onset (minimum) of Taylor factor M value, i.e. the minimum total slip amount, shows the cube {100}<001> and the M value gradually increases by way of {100}<001>→ {100}<016>→ {100}<013>→ {100}<012>→ {100}<023> → {100}<0,9,11> with decrease of φ1 or does {100}<001>→ {016}<100>→{013}<100> →{0,6,13}<100> with increase of φ2, most of which were experimentally reported as indiscrete recrystallized orientations with lowest dislocation density named the cluster composed of cube and cube-family in fcc metal. In bcc metal, crystal rotation is carried out by only one solution among the 72 by the minimum total slip amount at every strain and simulates properly lengthy of accumulated researcher’s experimental results such as the three stable orientations of bcc metal in rolling {112}<110>, {11 11 8}<44 11> and {100}<011>.

Published in Advances in Materials (Volume 7, Issue 2)
DOI 10.11648/j.am.20180702.14
Page(s) 34-43
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), 2018. Published by Science Publishing Group

Keywords

Body-Centered-Cubic, Face-Centered-Cubic, Deformation, Texture, Symmetry

References
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  • APA Style

    Hiroaki Masui. (2018). Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes. Advances in Materials, 7(2), 34-43. https://doi.org/10.11648/j.am.20180702.14

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    ACS Style

    Hiroaki Masui. Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes. Adv. Mater. 2018, 7(2), 34-43. doi: 10.11648/j.am.20180702.14

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    AMA Style

    Hiroaki Masui. Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes. Adv Mater. 2018;7(2):34-43. doi: 10.11648/j.am.20180702.14

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  • @article{10.11648/j.am.20180702.14,
      author = {Hiroaki Masui},
      title = {Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes},
      journal = {Advances in Materials},
      volume = {7},
      number = {2},
      pages = {34-43},
      doi = {10.11648/j.am.20180702.14},
      url = {https://doi.org/10.11648/j.am.20180702.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.am.20180702.14},
      abstract = {Based on the rotational symmetry of the principal axes of X [100], Y [010] and Z [001], in fcc metal 24 possible combinations of the five slips on {111} planes on  direction while in bcc metal 72 possible combinations of the five slips on {110} planes on  direction by intersection of two kinds of {110} planes from the three ones composed of {110}, {101} and {011} are respectively chosen both based on Taylor’s formidable restriction rule of the five slips. In fcc metal, orientation at onset (minimum) of Taylor factor M value, i.e. the minimum total slip amount, shows the cube {100} and the M value gradually increases by way of {100}→ {100}→ {100}→ {100}→ {100} → {100} with decrease of φ1 or does {100}→ {016}→{013} →{0,6,13} with increase of φ2, most of which were experimentally reported as indiscrete recrystallized orientations with lowest dislocation density named the cluster composed of cube and cube-family in fcc metal. In bcc metal, crystal rotation is carried out by only one solution among the 72 by the minimum total slip amount at every strain and simulates properly lengthy of accumulated researcher’s experimental results such as the three stable orientations of bcc metal in rolling {112}, {11 11 8} and {100}.},
     year = {2018}
    }
    

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  • TY  - JOUR
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    AU  - Hiroaki Masui
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    N1  - https://doi.org/10.11648/j.am.20180702.14
    DO  - 10.11648/j.am.20180702.14
    T2  - Advances in Materials
    JF  - Advances in Materials
    JO  - Advances in Materials
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    UR  - https://doi.org/10.11648/j.am.20180702.14
    AB  - Based on the rotational symmetry of the principal axes of X [100], Y [010] and Z [001], in fcc metal 24 possible combinations of the five slips on {111} planes on  direction while in bcc metal 72 possible combinations of the five slips on {110} planes on  direction by intersection of two kinds of {110} planes from the three ones composed of {110}, {101} and {011} are respectively chosen both based on Taylor’s formidable restriction rule of the five slips. In fcc metal, orientation at onset (minimum) of Taylor factor M value, i.e. the minimum total slip amount, shows the cube {100} and the M value gradually increases by way of {100}→ {100}→ {100}→ {100}→ {100} → {100} with decrease of φ1 or does {100}→ {016}→{013} →{0,6,13} with increase of φ2, most of which were experimentally reported as indiscrete recrystallized orientations with lowest dislocation density named the cluster composed of cube and cube-family in fcc metal. In bcc metal, crystal rotation is carried out by only one solution among the 72 by the minimum total slip amount at every strain and simulates properly lengthy of accumulated researcher’s experimental results such as the three stable orientations of bcc metal in rolling {112}, {11 11 8} and {100}.
    VL  - 7
    IS  - 2
    ER  - 

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Author Information
  • Department of Engineering, Teikyo University, Utsunomiya-shi, Japan

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