The evolution of yielding in 7075-O aluminium alloy: experimental observations and modelling

  • N. E. Anderson
  • A. G. Leacock
  • R. J. McMurray
  • D. Brown
Material behaviour and formability: F. Barlat, D. Banabic, O.Cazacu, T. Kuwabara, L. Delannay

Abstract

It is widely accepted that the yielding of materials can be modelled to a satisfactory degree of accuracy. However the hardening behaviour is a topic that needs attention. Recent experiments explored the evolution of hardening of sheet metals with off-axis straining, raising much debate about the nature of the behaviour. In light of these results this paper aims to characterise the hardening behaviour observed due to pre-straining in the sheet rolling direction. Aluminium alloy 7075-O is used for the examination. Further to this, the adequacy of the Leacock (2006) yield criterion in representing this behaviour is assessed. Using this representation the discrete yielding behaviour of 7075-O is successfully modelled.

Keywords

Anisotropic hardening Aluminium Yield criterion 

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References

  1. 1.
    Aretz H (2008) A simple isotropic-distortional hardening model and its application in elastic-plastic analysis of localised necking in orthotropic sheet metals. International Journal of Plasticity 24(9):1457–80MATHCrossRefGoogle Scholar
  2. 2.
    Hu W (2007) Constitutive modeling of orthotropic sheet metals by presenting hardening-induced anisotropy. International Journal of Plasticity 23(4):620–39 04MATHCrossRefGoogle Scholar
  3. 3.
    Choi Yangwook, Han Chung-Souk, Lee June K, Wagoner Robert H (2006) Modeling multi-axial deformation of planar anisotropic elasto-plastic materials, part i: Theory. International Journal of Plasticity 22(9):1745–1764 9MATHCrossRefGoogle Scholar
  4. 4.
    Feigenbaum HP, Dafalias YF (2007) Directional distortional hardening in metal plasticity within thermodynamics. International Journal of Solids and Structures 44:7526–7542MATHCrossRefGoogle Scholar
  5. 5.
    Dafalias YF (2000) Orientational evolution of plastic orthotropy in sheet metals. Journal of the Mechanics and Physics of Solids 48(11):2231–55 11MATHCrossRefGoogle Scholar
  6. 6.
    Tong Wei, Tao Hong, Jiang Xiquan (2004) Modeling the rotation of orthotropic axes of sheet metals subjected to off-axis uniaxial tension. Journal of Applied Mechanics, Transactions ASME 71(4):521–531MATHCrossRefGoogle Scholar
  7. 7.
    Boehler JP, Koss S (1991) Evolution of anisotropy in sheet steels submitted to off-axes large deformations. Advances in Continuum Mechanics, pp. 143-158Google Scholar
  8. 8.
    Kim KH, Yin JJ (1997) Evolution of anisotropy under plane stress. Journal of the Mechanics and Physics of Solids 45(5):841–51 O5CrossRefMathSciNetGoogle Scholar
  9. 9.
    Bunge HJ, Nielsen I (1997) Experimental determination of plastic spin in polycrystalline materials. International Journal of Plasticity 13(5):435–46CrossRefGoogle Scholar
  10. 10.
    Truong Qui HP, Lippmann H (2001) On the impact of local rotation on the evolution of an anisotropic plastic yield condition. Journal of the Mechanics and Physics of Solids 49(11):2577–2591MATHCrossRefGoogle Scholar
  11. 11.
    Hahm JH, Kim KH (2008) Anisotropic work hardening of steel sheets under plane stress. International Journal of Plasticity 24(7):1097–1127MATHCrossRefGoogle Scholar
  12. 12.
    Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 193:281–297MATHCrossRefGoogle Scholar
  13. 13.
    Hill R (1979) Theoretical plasticity of textured aggregates. Mathematical Proceedings of the Cambridge Philosophical Society 85:179–191MATHCrossRefMathSciNetGoogle Scholar
  14. 14.
    Hill R (1990) Constitutive modelling of orthotropic plasticity in sheet metals. Journal of the Mechanics and Physics of Solids 38(3):405MATHCrossRefMathSciNetGoogle Scholar
  15. 15.
    Leacock Alan G (2006) A mathematical description of orthotropy in sheet metals. Journal of the Mechanics and Physics of Solids 54:425–444. doi:2 MATHCrossRefGoogle Scholar

Copyright information

© Springer/ESAFORM 2009

Authors and Affiliations

  • N. E. Anderson
    • 1
  • A. G. Leacock
    • 1
  • R. J. McMurray
    • 1
  • D. Brown
    • 1
  1. 1.Advanced Metal Forming Research Group, Nanotechnology and Advanced Materials Research InstituteUniver- sity of UlsterAntrimN. Ireland

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