Metallurgical and Materials Transactions A

, Volume 46, Issue 6, pp 2748–2757 | Cite as

A New Damage Constitutive Model for Thermal Deformation of AA6111 Sheet

  • Wenyu Ma
  • Baoyu Wang
  • Jianhua Bian
  • Xuefeng Tang
  • Lei Yang
  • Yuanming Huo
Article
First Online:

Abstract

Hot tensile tests were conducted using a Gleeble 1500, at the temperature range of 623 K to 823 K (350 °C to 550 °C) and strain rate range of 0.1 to 10 s−1. Flow stress is significantly affected by temperature and strain rate. As strain increases; the flow stress first rapidly increases, subsequently maintains a steady state, and finally drops sharply because of damage evolution. The features and mechanism of the damage were studied utilizing a scanning electron microscope. Micro-void nucleation, growth, and coalescence result in the failure of the hot-formed specimen. A damage equation based on continuum damage mechanics and damage mechanism in hot metal forming was proposed. A unified viscoplastic damage model coupled with strain, strain rate, temperature, dislocation, hardening, damage, damage rate, and so on was developed and calibrated for AA6111 using Genetic Algorism Tool in three steps. This model can be used to describe viscoplastic flow behavior and damage evolution at various temperatures and strain rates. The model was implemented into the finite element (FE) model in ABAQUS platform via the variable user material subroutine. Thus, the FE model could be employed to study the damage distribution and the effects of blank holder force (BHF) and forming velocity on hot cylindrical deep drawing. It is revealed that lower BHF and higher velocity are beneficial for drawability. A good agreement between simulated and experimental results has been achieved.

Keywords

Flow Stress Deformation Temperature Damage Evolution Damage Parameter Solution Heat Treatment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgments

The authors would like to acknowledge the financial support provided by the State Key Laboratory of Materials Processing and Die & Mould Technology, Huazhong University of Science and Technology (No. P2014-15), the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20120006110017) and Beijing Laboratory of Metallic Materials and Processing for Modern Transportation. The authors are also grateful to Professor Jianguo Lin, Royal Academy of Engineering and Department of Mechanical Engineering, Imperial College, UK for the guidance and help.

References

  1. 1.
    A. Tewari, S. Vijayalakshmi, S. Tiwari, P. Biswas, S. Kim, R.K. Mishra, R. Kubic, and A.K. Sachdev: Metall. Mater. Trans. A, 2013, vol. 44, pp. 2382-2398.CrossRefGoogle Scholar
  2. 2.
    C.D. Marioara, S.J. Andersen, J. Røyset, O. Reiso, S. Gulbrandsen-Dahl, T. Nicolaisen, I. Opheim, J.F. Helgaker, and R. Holmestad: Metall. Mater. Trans. A, 2014, vol. 45, pp. 2938-2949.CrossRefGoogle Scholar
  3. 3.
    N. Anjabin, A.K. Taheri, and H.S. Kim: Metall. Mater. Trans. A, 2013, vol. 44, pp. 5853-5860.CrossRefGoogle Scholar
  4. 4.
    Y. Tu, H. Qian, X. Zhou, and J. Jiang: Metall. Mater. Trans. A, 2014, vol. 45, pp. 1883-1891.CrossRefGoogle Scholar
  5. 5.
    J. Zhou, B. Wang, J. Lin, and L. Fu: Arch. Civ. Mech. Eng, 2013, vol. 13, pp. 401-411.CrossRefGoogle Scholar
  6. 6.
    C. Poletti, T. Wójcik, and C. Sommitsch: Metall. Mater. Trans. A, 2013, vol. 44, pp. 1577-1586.CrossRefGoogle Scholar
  7. 7.
    L. Shi, H. Yang, L.G. Guo, and J. Zhang: Mater. Design, 2014, vol. 54, pp. 576-581.CrossRefGoogle Scholar
  8. 8.
    L. Li, Y.C. Lin, H. Zhou, and Y. Jiang: Comp. Mater. Sci., 2013, vol. 73, pp. 72-78.CrossRefGoogle Scholar
  9. 9.
    M.J. Roy, D.M. Maijer, and L. Dancoine: Mater. Sci. Eng. A, 2012, vol. 548, pp. 195-205.CrossRefGoogle Scholar
  10. 10.
    J. Li, F. Li, J. Cai, R. Wang, Z. Yuan, and G. Ji: Comp. Mater. Sci., 2013, vol. 71, pp. 56-65.CrossRefGoogle Scholar
  11. 11.
    J. Lin, B.H. Cheong, and X. Yao: J. Mater. Process. Tech., 2002, vol. 125–126, pp. 199-205.Google Scholar
  12. 12.
    Y. Estrin: J. Mater. Process. Tech., 1998, vol. 80–81, pp. 33-39.CrossRefGoogle Scholar
  13. 13.
    Ø. Grong and H.R. Shercliff: Prog. Mater. Sci., 2002, vol. 47, pp. 163-282.CrossRefGoogle Scholar
  14. 14.
    M. Zhou and F. P. E. Dunne: J. Strain Anal. Eng. Des., 1996, vol. 31, pp. 187-196.CrossRefGoogle Scholar
  15. 15.
    J. Lin and J. Yang: Int. J. Plasticity, 1999, vol. 15, pp. 1181-1196.CrossRefGoogle Scholar
  16. 16.
    H.R. RezaeiAshtiani, M.H. Parsa, and H. Bisadi: Mater. Sci. Eng. A, 2012, vol. 545, pp. 61–67.CrossRefGoogle Scholar
  17. 17.
    D. Lassance, D. Fabregue, F. Delannay, and T. Pardoen: Prog. Mater. Sci., 2007, vol. 52, pp. 62-129.CrossRefGoogle Scholar
  18. 18.
    M.S. Mohamed, A.D. Foster, J. Lin, D.S. Balint, and T.A. Dean: Int. J. Mach. Tools Manuf., 2012, vol. 53, pp. 27-38.CrossRefGoogle Scholar
  19. 19.
    J. Lin: Int. J. Damage Mech., 2005, vol. 14, pp. 299-319.CrossRefGoogle Scholar
  20. 20.
    S. Thuillier, N. Le Maout, and P.Y. Manach: Mater. Design, 2011, vol. 32, pp. 2049-2057.CrossRefGoogle Scholar
  21. 21.
    Y.F. Lung, M.C. Lin, H.C. Lin, and K.M. Lin: Mater. Design, 2011, vol. 32, pp. 4369-4375.CrossRefGoogle Scholar
  22. 22.
    M.A. Khaleel, H.M. Zbib, and E.A. Nyberg: Int. J. Plasticity, 2001, vol. 17, pp. 277-296.CrossRefGoogle Scholar
  23. 23.
    Y. Liu and J. Lin: J. Mater. Process. Technol., 2003, vol. 143–144, pp. 723–28.CrossRefGoogle Scholar
  24. 24.
    R.P. Garrett, J. Lin, and T.A. Dean: Int. J. Plasticity, 2005, vol. 21, pp. 1640-1657.CrossRefGoogle Scholar
  25. 25.
    J. Lin and T.A. Dean: J. Mater. Process. Tech., 2005, vol. 167, pp. 354-362.CrossRefGoogle Scholar
  26. 26.
    H. Agarwal, A.M. Gokhale, S. Graham, and M.F. Horstemeyer: Mater. Sci. Eng. A, 2003, vol. 341, pp. 35-42.CrossRefGoogle Scholar

Copyright information

© The Minerals, Metals & Materials Society and ASM International 2015

Authors and Affiliations

  • Wenyu Ma
    • 1
  • Baoyu Wang
    • 1
  • Jianhua Bian
    • 2
  • Xuefeng Tang
    • 1
  • Lei Yang
    • 1
  • Yuanming Huo
    • 1
  1. 1.School of Mechanical EngineeringUniversity of Science and Technology BeijingBeijingP.R. China
  2. 2.School of Materials Science and EngineeringUniversity of Science and Technology BeijingBeijingP.R. China

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