Abstract
High-temperature bulge forming of AA5083 aluminum sheet was simulated with the commercial finite element (FE) code ABAQUS™. A material model that is strain rate sensitive and accounts for strain hardening and softening was used. Results were compared with data from AA5083 bulge forming experiments at 450 °C where the gas pressure was a prescribed constant value. The results show that the material model is capable of predicting the deformation and thinning behavior at different constant pressure levels. In ancillary simulations, time-varying pressure profiles were computed (rather than prescribed) with an internal ABAQUS™ routine that attempts to maintain the strain rate at the bulge dome pole within a specified range. The time-varying profiles, for which no experimental AA5083 bulge forming data exist, can be programmed into existing bulge testing instrumentation to validate the associated predictions of bulge dome height and thinning. The present effort represents a necessary step toward predicting gas pressure profiles by coupling the pressure profile with a desired sheet deformation rate.
Similar content being viewed by others
References
X.D. Ding, H.M. Zbib, C.H. Hamilton, A.E. Bayoumi (1997) On the stability of biaxial stretching with application to the optimization of superplastic blow-forming. J Eng Mater Technol 119:26–31.
K. Siegert and S. Jaeger, Pneumatic Bulging of AZ31 Sheet Metal at Elevated Temperatures, Magnesium Technology 2004, A.A. Luo, Ed., The Minerals, Metals & Materials Society (TMS), 2004, p 87–90
J.R. Bradley, Bulge Testing of Superplastic AA5083 Aluminum Sheet, Advances in Superplasticity and Superplastic Forming, E.M. Taleff, P.A. Friedman, P.E. Krajewski, R.S. Mishra, and J.G. Schroth, Eds., March 14-18, 2004 (Charlotte, North Carolina, USA), The Minerals, Metals & Materials Society (TMS), 2004, p 109–118
D.M. Woo (1964) The analysis of axisymmetric forming of sheet metal and the hydrostatic bulging process. Int J Mech Sci 6:303–317
F. Jovane (1968) An approximate analysis of the superplastic forming of a thin circular diaphragm: theory and experiments. Int J Mech Sci 10:403–427
G.C. Cornfield, R.H. Johnson (1970) The forming of superplastic sheet metal. Int J Mech Sci 12:479–490.
S.W. Chung, K. Higashi, W.J. Kim (2004) Superplastic gas pressure forming of fine grained AZ61 magnesium alloy sheet. Mater Sci Eng 372:15–20.
M. Atkinson (1997) Accurate determination of biaxial stress-strain relationships from hydraulic bulging tests of sheet metals. Int J Mech Sci 39:761–769
D. Banabic, M. Vulcan, K. Siegert (2005) Bulge testing under constant and variable strain rates of superplastic aluminium alloys. CIRP Annals - Manufacturing Technology 54:205–208.
S.N. Patankar and T.M. Jen, Superplastic forming of commercial purity aluminum. Scripta Materialia, 38, 1997, p 145–148.
Y. Luo, C. Miller, G. Luckey, P. Friedman, Y. Peng (2007) On practical forming limits in superplastic forming of aluminum sheet. J Mater Eng Perform 16(3):274–283.
P.E. Krajewski, J.G Schroth (2007) Overview of quick plastic forming. Mater Sci Forum 551–552:3–12.
ABAQUS™: www.simulia.com
ABAQUS™ Analysis User’s Manual, Vol. 3, Version 6.5, 2004, p 11.2.4-10
P.E. Krajewski and G.P. Montgomery, Mechanical Behavior and Modeling of AA5083 at 450°C, Advances in Superplasticity and Superplastic Forming, E.M. Taleff, P.A. Friedman, P.E. Krajewski, R.S. Mishra, and J.G. Schroth, Eds., March 14-18, 2004 (Charlotte, North Carolina, USA), The Minerals, Metals & Materials Society (TMS), 2004, p 341–350
M.K. Khraisheh, F.K. Abu-Farha (2003) Microstructure-based modeling of anisotropic superplastic deformation. Transactions of NAMRI/SME 31:41–47.
M.N. Nazzal, M.K. Khraisheh, B. Darras (2004) Finite element modeling and optimization of superplastic forming using variable strain rate approach. ASM J Mater Eng Perform 13(6):691–699
F.K. Abu-Farha, M.K. Khraisheh (2007) Analysis of superplastic deformation of AZ31 magnesium alloy. Journal of Advanced Engineering Materials (JAEM) 9(9):777–783.
C.H. Caceres, D.S. Wilkinson (1984) Large strain behavior of a superplastic copper alloy-deformation. Acta Metall 32:415–422
M.J. Stowell (1983) Cavity growth and failure in superplastic alloys. Metal Sci. 17:92–98.
C.L. Chen, M.J. Tan ( 2001) Cavity growth and filament formation of superplastically deformed Al 7475 Alloy. Mater. Sci. Eng. A 298:235–244.
Y. Chino, H. Iwasaki (2004) Cavity growth rate in superplastic 5083 Al and AZ31 Mg alloys. Journal of Materials Research 19(11):3382–3388
F. Li, D.H. Bae, A.K. Ghosh (1997) Grain elongation and anisotropic grain growth during superplastic deformation in an Al-Mg-Mn-Cu alloy. Acta Mater 45(9):3887–3895.
M.A. Khaleel, M.T. Smith, A.L. Lund (1997) Cavitation during multiaxial deformation of superplastic forming. Mater. Sci. Forum 243–245:155–160.
E. Tanaka, S. Murakami, H. Ishikawa (1997) Constitutive modeling of superplasticity taking account of grain and cavity growth. Mater. Sci. Forum 233–234:21–28.
H. Iwasaki, T. Mori, T. Tagata, M. Masatu, K. Higashi (1997) Cavitation in Superplastic Al-Mg Alloy. Mater Sci Forum 233–234:81–88.
S.C. Rama, N. Chandra (1991) Development of a pressure prediction method for superplastic forming processes. Int J Non-Linear Mechanics 26:711–725.
S.G. Luckey, P.A. Friedman, and Z.C. Xia, Aspects of Element Formulation and Strain Rate Control in the Numerical Modeling of Superplastic Forming, Advances in Superplasticity and Superplastic Forming, E.M. Taleff, P.A. Friedman, P.E. Krajewski, R.S. Mishra, and J.G. Schroth, Eds., March 14-18, 2004 (Charlotte, North Carolina, USA), The Minerals, Metals & Materials Society (TMS), 2004, p 371–380
H. Samekto and K. Roll, Finite Element Analysis of Superplastic Forming Process Using LS-DYNA, 4th European LS-DYNA Users Conference, May 22-23, 2003 (Ulm, Germany), DYNAmore, 2003, p E-11-01–E-11-16
Acknowledgment
The financial support of the National Science Foundation, CAREER award # DMI-0238712 and General Motors Corporation (GM) is greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jarrar, F., Abu-Farha, F., Hector, L. et al. Simulation of High-Temperature AA5083 Bulge Forming with a Hardening/Softening Material Model. J. of Materi Eng and Perform 18, 863–870 (2009). https://doi.org/10.1007/s11665-008-9322-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11665-008-9322-5