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

Hiroaki Masui

doi:doi:10.11648/j.am.20180702.14

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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

Hiroaki Masui

Published in Advances in Materials (Volume 7, Issue 2)

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

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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
T1  - Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes
AU  - Hiroaki Masui
Y1  - 2018/07/11
PY  - 2018
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
SP  - 34
EP  - 43
PB  - Science Publishing Group
SN  - 2327-252X
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

Hiroaki Masui

Department of Engineering, Teikyo University, Utsunomiya-shi, Japan

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Plain Text BibTeX RIS

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}
}

Copy | Download

TY  - JOUR
T1  - Simulation for Texture Formation of Both Face-Centered-Cubic Metals and Body-Centered-Cubic Ones Based on Rotational Symmetry among Principal Axes
AU  - Hiroaki Masui
Y1  - 2018/07/11
PY  - 2018
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
SP  - 34
EP  - 43
PB  - Science Publishing Group
SN  - 2327-252X
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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