Abstract
The deformation behavior of high-strength steel sheet during hole expansion is investigated both experimentally and analytically to clarify the effects of the material model (anisotropic yield function) on the finite element simulation of a hole expansion. The test material used in the hole expansion test is a dual-phase steel alloy with a tensile strength of 780 MPa. The elastic-plastic deformation behavior of the test material is precisely measured using biaxial tensile tests with cruciform specimens to determine the appropriate anisotropic yield function for the test material. Moreover, forming simulations of the hole expansion using selected yield functions are carried out. The Yld2000-2d function [Barlat, F., Brem, J.C., Yoon, J.W., Chung, K., Dick, R.E., Lege, D.J., Pourboghrat, F., Choi, S.H., and Chu, E., Int. J. Plasticity, 19 (2003), 1297-1319.] with an exponent of 4 has given the closest agreement with the experimentally measured contours of plastic work and the directions of the plastic strain rates. It was also found that the Yld2000-2d function with an exponent of 4 has given the closest agreement with the observed thickness distribution along the expanded hole edge. Consequently, anisotropic yield functions significantly affect the predictive accuracy of the deformation behavior of a sheet during a hole expansion
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References
E. Iizuka, T. Hira, and A. Yoshitake. Effect of forming conditions on stretch flange formability of high-strength hot-rolled steel sheets. J. Japan Soc. Technol. Plasticity, 46: 625-629, 2005.
M. Kuroda and V. Tvergaard. Effect of strain path change on limits to ductility of anisotropic metal sheets. Int. J. Mech. Sci., 42: 867-887, 2000.
Y. Kurosaki and Y. Unno. Anisotropic behaviours of sheet metals on hole-expanding test. Trans. Japan Soc. Mech. Eng. Series C, 51: 409-416, 1985.
M. Gotoh, C.R. Lim and M. Misawa. Forming limit strains of sheet metals in hole-expanding process. Trans. Japan Soc. Mech. Eng. Series C, 59: 2855-2862, 1993.
M.J. Worswick and M.J. Finn. The numerical simulation of stretch flange forming. Int. J. Plasticity, 16: 701–720, 2000.
H. Takuda, K. Ozawa, T. Hama, T. Yoshida and J. Nitta. Forming limit prediction in hole expansion by combination of finite element simulation and ductile fracture criterion. J. Japan Soc. Technol. Plasticity, 49: 886–890, 2008.
T. Kuwabara, S. Ikeda and T. Kuroda. Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. J. Mater. Processing Technol., 80-81: 517–523, 1998.
T. Kuwabara, M. Kuroda, V. Tvergaard and K. Nomura. Use of abrupt strain path change for determining subsequent yield surface: experimental study with metal sheets. Acta Mater., 48: 2071–2079, 2000.
T. Kuwabara, A. Van Bael and E. Iizuka. Measurement and analysis of yield locus and work hardening characteristics of steel sheets with different r-values. Acta Mater. 50: 3717–3729, 2002.
Abaqus Analysis, User’s Manual, Version 6.6, (2006), Dassault Systemes.
R. Hill. A theory of the yielding and plastic flow of anisotropic metals. Proc. Royal Soc. London, A193: 281–297, 1948.
F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, K. R.E. Dick, D.J. Lege, F. Pourboghrat, S.H. Choi and E. Chu. Plane stress yield function for aluminum alloy sheets - Part 1: Theory. Int. J. Plasticity. 19: 1297–1319, 2003.
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Hashimoto, K., Kuwabara, T., Iizuka, E. et al. Hole expansion simulation of high strength steel sheet. Int J Mater Form 3 (Suppl 1), 259–262 (2010). https://doi.org/10.1007/s12289-010-0756-6
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DOI: https://doi.org/10.1007/s12289-010-0756-6