Abstract
Numerical simulations of straight tube hydroforming of a dual phase (DP600) advanced high strength steel were performed using a variant of the Gurson–Tvergaard–Needleman (GTN) constitutive model to account for the influence of void shape and shear on coalescence. The effect of axial-feed (end-feed) on damage development and formability is investigated for end-feed loads of zero and 133 kN. A parametric study was conducted to determine an appropriate void nucleation stress and strain and the numerical values compared with the experimental data. The calibrated GTN damage model gives good agreement with the experimentally determined burst pressure, formability and failure location with the best performance occurring for the high end-feed load.
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References
Asnafi N, Skogsgardh A (2000) Theoretical and experimental analysis of stroke-controlled tube hydroforming. Mater Sci Eng A 279:95–110. doi:10.1016/S0921-5093(99)00646-2
Baradari GJ (2006) Damage in hydroforming of pre-bent aluminum alloy tubes. Ph.D Thesis, University of Waterloo, Waterloo, Canada
Bardelcik A (2006) Effect of pre-bending and hydroforming parameters on the formability of advanced high strength steel. MASc Thesis, University of Waterloo,Waterloo, Canada
Barsoum I, Faleskog J (2007) Rupture mechanisms in combined tension and shear-experiments. Int J Solids Struct 44:1768–1786. doi:10.1016/j.ijsolstr.2006.09.031
Benzerga AA (2002) Micromechanics of coalescence in ductile fracture. J Mech Phys Solids 50:1331–1362. doi:10.1016/S0022-5096(01)00125-9
Butcher C, Chen ZT (2009) A void coalescence model for combined tension and shear. Model Simul Mater Sci Eng 17: 1–15. doi:10.1088/0965-0393/17/2/025007
Chen Y, Lambert S (2003) Analysis of ductile tearing of pipeline-steel in single edge notch tension specimens. Int J Fract 124:179–199. doi:10.1023/B:FRAC.0000018236.36132.36
Chu CC, Needleman A (1980) Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol 102:249–256
Dyment J (2004) Effect of bending process on the hydroformability of steel tubes. MASc Thesis, University of Waterloo, Waterloo, Canada
Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth—Part I. Yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99:2–15
Koplik J, Needleman A (1988) Void growth and coalescence in porous plastic solids. Int J Solids Struct 24:835–853. doi:10.1016/0020-7683(88)90051-0
Hallquist JO (2005) LS-DYNA Theoretical Manual. Livermore Software Technology Corporation, Livermore, CA
Hama T, Ohkubo T, Kurisu K, Fujimoto H, Takuda H (2006) Formability of tube hydroforming under various loading paths. J Mater Process Technol 177:676–679. doi:10.1016/j.jmatprotec.2006.03.213
Lacroix G, Pardoen T, Jacqeus PJ (2008) The fracture toughness of TRIP-assisted multiphase steels. Acta Mater 56:3900–3913. doi:10.1016/j.actamat.2008.04.035
Maire E, Bouaziz O, Di Michiel M, Verdu C (2008) Initiation and growth of damage in a dual-phase steel observed by X-ray microtomography. Acta Mater 56:4954–4964. doi:10.1016/j.actamat.2008.06.015
Mazinani M, Poole WJ (2007) Effect of plasticity on the deformation behavior of a low-carbon dual phase steel. Metall Mater Trans A 38:328–339. doi:10.1007/s11661-006-9023-3
McClintock FA, Kaplan SM, Berg CA (1966) Ductile fracture by hole growth in shear bands. Int J Fract 2:614–627. doi:10.1007/BF00184558
Nahshon K, Hutchinson JW (2007) Modification of the Gurson model for shear failure. Eur J Mech Solids 27:1–17. doi:10.1016/j.euromechsol.2007.08.002
Needleman A (1987) A continuum model for void nucleation by inclusion debonding. J Appl Mech 54:525–531
Pardoen T, Hutchinson JW (2000) An extended model for void growth and coalescence. J Mech Phys Solids 48:2567–2512. doi:10.1016/S0022-5096(00)00019-3
Picart P, Oudin J, Bennani B (1992) Finite element simulation of void nucleation, growth and coalescence in isotropic standard elasto-plasticity: application to cold forging. J Mater Process Technol 32:179–188. doi:10.1016/0924-0136(92)90175-R
Ragab AR (2004a) A model for ductile fracture based on internal necking of spheroidal voids. Acta Mater 52:3997–4009. doi:10.1016/j.actamat.2004.05.015
Ragab AR (2004b) Application of an extended void growth model with strain hardening and void shape evolution to ductile fracture under axisymmetric tension. Eng Fract Mech 71:1515–1534. doi:10.1016/S0013-7944(03)00216-9
Simha CHM, Gholipour J, Bardelcik A, Worswick MJ (2007) Prediction of necking in tubular hydroforming using an extended stress-based forming limit curve. J Eng Mater Technol 129:36–47. doi:10.1115/1.2400269
Sorine M, Worswick MJ, Oliveira DA (2006) Effect of end-feed in hydroforming of straight and pre-bent high strength and advanced high strength steel tubes. Proceeding of the 2006 SAE World Congress, Detroit, USA, Paper #2006-01-0544.
Thomason PF (1990) Ductile fracture ofmetals. Pergamon Press Inc, Oxford
Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17:389–407. doi:10.1007/BF00036191
Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile test bar. Acta Metall 32:157–169. doi:10.1016/0001-6160(84)90213-X
Winkler S, Thompson A, Salisbury C, Worswick M, Van Riemsdijk I, Mayer R (2008) Strain rate and temperature effects on the formability and damage of advanced high-strength steels. Metall Mater Trans A 39:1350–1358. doi:10.1007/s11661-008-9495-4
Xue L (2007) Constitutive modeling of void shearing effect in ductile fracture of porous materials. Eng Fract Mech 75:3343–3366. doi:10.1016/j.engfracmech.2007.07.022
Zhang Z, Niemi E (1994) Studies on the ductility predictions by different local failure criteria. Eng Fract Mech 48:529–540. doi:10.1016/0013-7944(94)90208-9
Zhang Z, Thaulow C, Odegard J (2000) A complete Gurson model approach for ductile fracture. Eng Fract Mech 67:155–168. doi:10.1016/S0013-7944(00)00055-2
Zhang KS, Bai JB, Francois D (2001) Numerical analysis of the influence of the Lode parameter on void growth. Int J Solids Struct 38:5847–5856. doi:10.1016/S0020-7683(00)00391-7
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Butcher, C., Chen, Z., Bardelcik, A. et al. Damage-based finite-element modeling of tube hydroforming. Int J Fract 155, 55–65 (2009). https://doi.org/10.1007/s10704-009-9323-x
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DOI: https://doi.org/10.1007/s10704-009-9323-x