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Anisotropic Damage of Low-Alloy Steel Plates Under Uniaxial Tension After Alternating Bending

Received: 8 August 2016    Accepted: 19 August 2016    Published: 7 September 2016
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Abstract

Effect of low-cycle alternating bending and the crystallographic texture on the damage anisotropy of mild steel sheets DC01 (St 1.0330) at subsequent uniaxial tensile tests was examined. Analysis of anisotropy sheet material damage was performed using a symmetric tensor of damage D of the second order. In the case of uniaxial stress is not equal to zero only the sole component of this tensor. This component D was defined by the formula , where is the elastic modulus of intact material; E is the current modulus determined at uniaxial tensile tests. Anisotropy of mechanical properties and damage take place in steel sheets at uniaxial tensile tests after deformation by alternating bending. The averaged damage of steel sheets at uniaxial tensile tests has minimal value after 3 cycles of alternating bending. The averaged damage of steel at uniaxial tensile tests increases with the intensity increase of "brittle" components of type {001} || ND in the texture after alternating bending. Damage of steel at uniaxial tensile tests decreases with the intensity growth of "viscous" components such as {110}, {112}, {111} parallel to the rolling plane in the texture after alternating bending.

Published in American Journal of Mechanical and Industrial Engineering (Volume 1, Issue 2)
DOI 10.11648/j.ajmie.20160102.11
Page(s) 10-14
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

Alternating Bending, Texture, Young’s Modulus, Anisotropy, Damage, Low-Alloyed Steel

References
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[3] G. Gerstein, A. A. Bruchanov, D. V. Dyachok, F. Nürnberger, The effect of texture in modeling deformation processes of bcc steel sheets, Materials Letters (2016) 356-359.
[4] Sumio Murakami, Continuum damage mechanics: A continuum mechanics approach to the analysis of damage and fracture, Springer Sciences + Business Media, Dordrecht, Heidelberg, London, New York, 2012.
[5] V. Randle, O. Engler, Introduction to Texture Analysis: Macrotexture, Microtexture andOrientation Mapping, CRC PRESS, Boca Raton, London, New York, Washington, D. C., 2000.
[6] N. R. Hansen, H. L. Schreyer, A Thermodynamically Consistent Framework for Theories of Elastoplasticity Coupled with Damage, Int. J. Solids Struct. (1994) 359–389.
[7] K. Rashid, Abu Al-Rub, G. Z. Voyiadjis, On the coupling of anisotropic damage and plasticity models for ductile materials, International Journal of Solids and Structures (2003) 2611-2643.
[8] M. Bobyr, O. Khalimon, O. Bondarets, Phenomenological damage models of anisotropic structural materials, Journal of mechanical engineering NTUU “Kyiv Polytechnic Institute” (2013) 5-13.
[9] K. Lücke and M. Hölscher, Rolling and Recrystallization Textures of BCC Steels, Textures and Microstructures (1991) 585-596, doi: 10.1155/TSM.14-18.585, URL: http://dx.doi.org/10.1155/TSM.14-18.585
[10] J. K. Sung, D. N. Lee, D. H. Wang, Y. M. Koo, Efficient Generation of Cube-on-Face Crystallographic Texture in Iron and its Alloys // ISIJ International (2011) 284-290.
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[12] A. A. Bryukhanov V. V. Usov, N. M. Shkatulyak, Effect of controlled rolling on heterogeneity of crystallographic texture over cross-section of low carbon steel plate, Steel in the USSR (1990) 555-556.
[13] K. P D. Lagerlöf, On deformation twinning in b.c.c. metals, Acta metal mater. (1993) 2143-2151.
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[15] M. A. Meyers, O. Vöhringer, V. A. Lubarda, The onset of twinning in metals: a constitutive description // Acta mater. 2001. – Vol. 49, No. 19. – P. 4025-4039.
[16] A. A. Bryukhanov, P. P. Stoyanov, Yu. V. Zilberg, М. Shaper, М. Rodman, М. Hepke, D. Rodman, Anisotropy of Mechanical Properties of Magnesium Alloy AZ31 Sheets as a Result of Sign-Variable Bending Deformation // Metallurgical and Mining Industry. – 2010. – Vol. 2, No. 3. – P. 215-219.
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  • APA Style

    Nataliia Shkatulyak, Elena Savchuk, Valentin Usov. (2016). Anisotropic Damage of Low-Alloy Steel Plates Under Uniaxial Tension After Alternating Bending. American Journal of Mechanical and Industrial Engineering, 1(2), 10-14. https://doi.org/10.11648/j.ajmie.20160102.11

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    ACS Style

    Nataliia Shkatulyak; Elena Savchuk; Valentin Usov. Anisotropic Damage of Low-Alloy Steel Plates Under Uniaxial Tension After Alternating Bending. Am. J. Mech. Ind. Eng. 2016, 1(2), 10-14. doi: 10.11648/j.ajmie.20160102.11

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    AMA Style

    Nataliia Shkatulyak, Elena Savchuk, Valentin Usov. Anisotropic Damage of Low-Alloy Steel Plates Under Uniaxial Tension After Alternating Bending. Am J Mech Ind Eng. 2016;1(2):10-14. doi: 10.11648/j.ajmie.20160102.11

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  • @article{10.11648/j.ajmie.20160102.11,
      author = {Nataliia Shkatulyak and Elena Savchuk and Valentin Usov},
      title = {Anisotropic Damage of Low-Alloy Steel Plates Under Uniaxial Tension After Alternating Bending},
      journal = {American Journal of Mechanical and Industrial Engineering},
      volume = {1},
      number = {2},
      pages = {10-14},
      doi = {10.11648/j.ajmie.20160102.11},
      url = {https://doi.org/10.11648/j.ajmie.20160102.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmie.20160102.11},
      abstract = {Effect of low-cycle alternating bending and the crystallographic texture on the damage anisotropy of mild steel sheets DC01 (St 1.0330) at subsequent uniaxial tensile tests was examined. Analysis of anisotropy sheet material damage was performed using a symmetric tensor of damage D of the second order. In the case of uniaxial stress is not equal to zero only the sole component of this tensor. This component D was defined by the formula , where  is the elastic modulus of intact material; E is the current modulus determined at uniaxial tensile tests. Anisotropy of mechanical properties and damage take place in steel sheets at uniaxial tensile tests after deformation by alternating bending. The averaged damage of steel sheets at uniaxial tensile tests has minimal value after 3 cycles of alternating bending. The averaged damage of steel at uniaxial tensile tests increases with the intensity increase of "brittle" components of type {001} || ND in the texture after alternating bending. Damage of steel at uniaxial tensile tests decreases with the intensity growth of "viscous" components such as {110}, {112}, {111} parallel to the rolling plane in the texture after alternating bending.},
     year = {2016}
    }
    

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    AU  - Nataliia Shkatulyak
    AU  - Elena Savchuk
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    DO  - 10.11648/j.ajmie.20160102.11
    T2  - American Journal of Mechanical and Industrial Engineering
    JF  - American Journal of Mechanical and Industrial Engineering
    JO  - American Journal of Mechanical and Industrial Engineering
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    EP  - 14
    PB  - Science Publishing Group
    SN  - 2575-6060
    UR  - https://doi.org/10.11648/j.ajmie.20160102.11
    AB  - Effect of low-cycle alternating bending and the crystallographic texture on the damage anisotropy of mild steel sheets DC01 (St 1.0330) at subsequent uniaxial tensile tests was examined. Analysis of anisotropy sheet material damage was performed using a symmetric tensor of damage D of the second order. In the case of uniaxial stress is not equal to zero only the sole component of this tensor. This component D was defined by the formula , where  is the elastic modulus of intact material; E is the current modulus determined at uniaxial tensile tests. Anisotropy of mechanical properties and damage take place in steel sheets at uniaxial tensile tests after deformation by alternating bending. The averaged damage of steel sheets at uniaxial tensile tests has minimal value after 3 cycles of alternating bending. The averaged damage of steel at uniaxial tensile tests increases with the intensity increase of "brittle" components of type {001} || ND in the texture after alternating bending. Damage of steel at uniaxial tensile tests decreases with the intensity growth of "viscous" components such as {110}, {112}, {111} parallel to the rolling plane in the texture after alternating bending.
    VL  - 1
    IS  - 2
    ER  - 

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Author Information
  • Department of Physics, South Ukrainian National Pedagogical University Named After K. D. Ushinsky, Odessa, Ukraine

  • Department of Physics, South Ukrainian National Pedagogical University Named After K. D. Ushinsky, Odessa, Ukraine

  • Department of Physics, South Ukrainian National Pedagogical University Named After K. D. Ushinsky, Odessa, Ukraine

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