Calibration of Material Parameters of Anisotropic Yield Criterion with Conventional Tests and Biaxial Test

Abstract:

Bron and Besson yield criterion has been used to investigate the plastic anisotropic behavior of an aluminum alloy AA5086. The parameters of this anisotropic yield model have been identified by two different methods: a classical one, considering several homogeneous conventional experiments and an exploratory one, with only biaxial test. In this paper, the parameter identification with conventional experiments has been carried out with uniaxial tensile tests and simple shear tests in different orientations to the rolling direction and with a hydraulic bulge test. For comparison’s sake, Hill’s 48 yield function has also been calibrated analytically from uniaxial tensile tests. Numerical simulation for the cross biaxial test has been carried out with the anisotropic parameters identified from the conventional tests. From this simulation, the principle strains along a specified path in the gauge area of the cruciform specimen have been evaluated. A good agreement is observed between experimental and numerical values of principal strains for a large range of strain paths.

• Periodical: Key Engineering Materials (Volumes 554-557)
• Pages: 2111-2117
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.554-557.2111
• Online since: June 2013
• Authors: Shun Ying Zhang, Lionel Leotoing, Dominique Guines, Sandrine Thuillier
• Keywords: Biaxial Tension Test, Material Parameter Identification, Plastic Anisotropy, Yield Criterion

References

[1] F. Barlat, H. Aretz, J. W. Yoon, M. E. Karabin, J. C. Brem, and R. E. Dick, Linear transfomation-based anisotropic yield functions, International Journal of Plasticity. 21 (2005) 1009–1039.

DOI: 10.1016/j.ijplas.2004.06.004

[2] D. Banabic, H. Aretz, D. S. Comsa, and L. Paraianu, An improved analytical description of orthotropy in metallic sheets, International Journal of Plasticity. 21 (2005) 493–512.

DOI: 10.1016/j.ijplas.2004.04.003

[3] S. L. Zang, S. Thuillier, A. Le Port, and P. Y. Manach, Prediction of anisotropy and hardening for metallic sheets in tension, simple shear and biaxial tension, International Journal of Mechanical Sciences. 53 (2011) 338–347.

DOI: 10.1016/j.ijmecsci.2011.02.003

[4] F. Bron and J. Besson, A yield function for anisotropic materials Application to aluminum alloys, International Journal of Plasticity. 20 (2004) 937–963.

DOI: 10.1016/j.ijplas.2003.06.001

[5] R. Hill, 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 (1948) 281–297.

DOI: 10.1098/rspa.1948.0045

[6] D. E. Green, K. W. Neale, S. R. MacEwen, A. Makinde, and R. Perrin, Experimental investigation of the biaxial behaviour of an aluminum sheet, International Journal of Plasticity. 20 (2004) 1677–1706.

DOI: 10.1016/j.ijplas.2003.11.012

[7] M. Teaca, I. Charpentier, M. Martiny, and G. Ferron, Identification of sheet metal plastic anisotropy using heterogeneous biaxial tensile tests, International Journal of Mechanical Sciences. 52 (2010) 572–580.

DOI: 10.1016/j.ijmecsci.2009.12.003

[8] G. Ferron, R. Makkouk, and J. Morreale, A parametric description of orthotropic plasticity in metal sheets, International Journal of Plasticity. 10 (1994) 431–449.

DOI: 10.1016/0749-6419(94)90008-6