Abstract
Fracture behavior and micro-failure mechanism in stretch-bending of dual-phase (DP) steels are still unclear. Representative volume elements (RVE) have been proved to be an applicable approach for describing microstructural deformation in order to reveal the micro-failure mechanism. In this paper, 2D RVE models are built. The deformation behavior of DP steels under stretch-bending is investigated by means of RVE models based on the metallographic graphs with particle geometry, distribution, and morphology. Microstructural failure modes under different loading conditions in stretch-bending tests are studied, and different failure mechanisms in stretch-bending are analyzed. The computational results and stress-strain distribution analysis indicate that in the RVE models, the strain mostly occurs in ferrite phase, while martensite phase undertakes most stress without significant strain. The failure is the results of the deformation inhomogeneity between martensite phase and ferrite phase. The various appearance and growth of initial voids are different depending on the bending radius.
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C.D. Horvath and J.R. Fekete, International conference on advanced high strength steels for automotive applications, Proceedings, Association for Iron and Steel Technology, 2004
M.Y. Demeri, ASM Handbook: Metalworking: Sheet Forming, vol. 14B. ASM International, Materials Park, 2006
N.K. Balliger and T. Gladman, Work Hardening of Dual-Phase Steels, Met .Sci., 1981, 15, p 95–108
N.J. Kim and A.H. Nakagawa, Effective Grain Size of Dual-Phase Steel, Mater. Sci. Eng., 1986, 83, p 145–149
M. Erdogan, The Effect of New Ferrite Content on the Tensile Fracture Behavior of Dual Phase Steels, J. Mater. Sci., 2002, 37, p 3623–3630
M. Erdogan and R. Priestner, Effect of Martensite Content, its Dispersion, and Epitaxial Ferrite Content on Bauschinger Behavior of Dual Phase Steel, Mater. Sci. Technol. Ser., 2002, 18, p 369–374
S. Sun and M. Pugh, Properties of Thermomechanically Processed Dual-Phase Steels Containing Fibrous Martensite, Mater. Sci. Eng. A, 2002, 335, p 298–308
G. Chatzigeorgiou and N. Charalambakis, Instability Analysis of Non-Homogeneous Materials Under Biaxial Loading, Int. J. Plast., 2005, 21, p 1970–1999
L.M.V. Tigrinho, R.A. Chemin Filho, and P.V.P. Marcondes, Fracture Analysis Approach of DP600 Steel When Subjected to Different Stress/Strain States During Deformation, Int. J. Adv. Manuf. Technol., 2013, 69, p 1017–1024
Z. Marciniak and K. Kuczynski, Limit Strains in the Processes of Stretch-Forming Sheet Metal, Int. J. Mech. Sci., 1967, 9, p 609–612
Gurson A. Plastic Flow and Fracture Behavior of Ductile Materials in Corporating Void Nucleation, Growth and Coalescence. Ph.D. Thesis, Brown University, 1975
V. Tvergaard, On Localization in Ductile Materials Containing Spherical Voids, Int. J. Fract., 1982, 18, p 237–252
V. Tvergaard and A. Needleman, Analysis of the Cup-Cone Fracture in a Round Tensile Bar, Acta Metall. Mater., 1984, 32, p 157–169
F.M. Al-Abbasi and J.A. Nemes, Predicting the Ductile Failure of DP-Steels Using Micromechanical Modeling of Cells, Int. J. Damage Mech., 2008, 17, p 447–472
M.P. Sklad, Analysis of deformation in the shear and shear-tension tests. Numisheet 2008—Proceedings of the 7th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes, 2008, p 91–95
S. Huang, Y.X. Zhao, and C.F. He, Shear Fracture of Advanced High Strength Steels, J. Iron Steel Res. Int., 2014, 21, p 938–944
S.H. Li, J. He, Y.X. Zhao, S. Wang, L. Dong, and R.G. Cui, Theoretical Failure Investigation for Sheet Metals Under Hybrid Stretch-Bending Loadings, Int. J. Mech. Sci., 2015, 104, p 75–90
Y. Bai and T. Wierzbicki, Application of Extended Mohr-Coulomb Criterion to Ductile Fracture, Int. J. Fract., 2010, 161, p 1–20
M. Luo and T. Wierzbicki, Numerical Failure Analysis of a Stretch-Bending Test on Dual-Phase Steel Sheets Using a Phenomenological Fracture Model, Int. J. Solids Struct., 2010, 47, p 3084–3102
Y. Lou and H. Huh, Prediction of Ductile Fracture for Advanced High Strength Steel with a New Criterion: Experiments and Simulation, J. Mater. Process Technol, 2013, 213, p 1284–1302
J. Lian, M. Sharaf, F. Archie, and S. Münstermann, A Hybrid Approach for Modelling of Plasticity and Failure Behaviour of Advanced High-Strength steel Sheets, Int. J. Damage Mech., 2013, 22, p 188–218
J.H. Lian, P.F. Liu, and S. Münstermann, Modeling of Damage and Failure of Dual Phase Steel in Nakajima Test, Key Eng. Mater., 2013, 525, p 69–72
J. Lian, J. Wu, and S. Münstermann, Evaluation of the Cold Formability of High-Strength Low-Alloy Steel Plates with the Modified Bai-Wierzbicki Damage Model, Int. J. Damage Mech., 2015, 24, p 383–417
J.H. Kim, J.H. Sung, K. Piao, and R.H. Wagoner, The Shear Fracture of Dual-Phase Steel, Int. J. Plast., 2011, 27, p 1658–1676
F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe, Overview of Constitutive Laws, Kinematics, Homogenization and Multiscale Methods in Crystal Plasticity Finite-Element Modeling: Theory, Experiments, Applications, Acta Mater., 2010, 58, p 1152–1211
U. Prahl, S. Papaefthymiou, V. Uthaisangsuk, W. Bleck, J. Sietsma, and S. Van der Zwaag, Micromechanics-Based Modelling of Properties and Failure of Multiphase Steels, Comput Mater. Sci., 2007, 39, p 17–22
V. Uthaisangsuk, U. Prahl, and W. Bleck, Micromechanical Modelling of Damage Behavior of Multiphase Steels, Comput. Mater. Sci., 2008, 43, p 27–35
V. Uthaisangsuk, U. Prahl, and W. Bleck, Stretch-flangeability Characterization of Multiphase Steel Using a Microstructure Based Failure Modelling, Comput. Mater. Sci., 2009, 45, p 617–623
X. Sun, K.S. Choi, W.N. Liu, and M.A. Khaleel, Predicting Failure Modes and Ductility of Dual Phase Steels Using Plastic Strain Localization, Int. J. Plast., 2009, 25, p 1888–1909
X. Sun, K.S. Choi, A. Soulami, W.N. Liu, and M.A. Khaleel, On Key Factors Influencing Ductile Fractures of Dual Phase (DP) Steels, Mater. Sci. Eng. A, 2009, 526, p 140–149
K.S. Choi, W.N. Liu, X. Sun, and M.A. Khaleel, Microstructure-Based Constitutive Modeling of TRIP Steel: Prediction of Ductility and Failure Modes Under Different Loading Conditions, Acta Mater., 2009, 57, p 2592–2604
A. Ramazani, K. Mukherjee, U. Prahl, and W. Bleck, Transformation-Induced, Geometrically Necessary, Dislocation-Based Flow Curve Modeling of Dual-Phase Steels: Effect of Grain Size, Metall. Mater. Trans. A, 2012, 43, p 3850–3869
A. Ramazani, K. Mukherjee, U. Prahl, and W. Bleck, Modelling the Effect of Microstructural Banding on the Flow Curve Behaviour of Dual-Phase (DP) Steels, Comput. Mater. Sci., 2012, 52, p 46–54
J. Kadkhodapour, A. Butz, S. Ziaei-Rad, and S. Schmauder, A Micro Mechanical Study on Failure Initiation of Dual Phase Steels Under Tension Using Single Crystal Plasticity Model, Int. J. Plast., 2011, 27, p 1103–1125
J. Kadkhodapour, S. Schmauder, D. Raabe, S. Ziaei-Rad, U. Weber, and M. Calcagnotto, Experimental and Numerical Study on Geometrically Necessary Dislocations and Non-homogeneous Mechanical Properties of the Ferrite Phase in Dual Phase Steels, Acta Mater., 2011, 59, p 4387–4394
S. Katani, S. Ziaei-Rad, N. Nouri, N. Saeidi, J. Kadkhodapour, N. Torabian, and S. Schmauder, Microstructure Modelling of Dual-Phase Steel Using SEM Micrographs and Voronoi Polycrystal models, Metallogr. Microstruct. Anal., 2013, 2, p 156–169
J. Lian, H. Yang, N. Vajragupta, S. Münstermann, and W. Bleck, A Method to Quantitatively Upscale the Damage Initiation of Dual-Phase Steels Under Various Stress States from Microscale to Macroscale, Comput. Mater. Sci., 2014, 94, p 245–257
M. Calcagnotto, Y. Adachi, D. Ponge, and D. Raabe, Deformation and Fracture Mechanisms in Fine-and Ultrafine-Grained Ferrite/Martensite Dual-phase Steels and the Effect of Aging, Acta Mater., 2011, 59, p 658–670
M. Calcagnotto, D. Ponge, E. Demir, and D. Raabe, Orientation Gradients and Geometrically Necessary Dislocations in Ultrafine Grained Dual-phase Steels Studied by 2D and 3D EBSD, Mater. Sci. Eng. A, 2010, 527, p 2738–2746
S.K. Pual, Micromechanical Based Modeling of Dual Phase steels: Prediction of Ductility and failure Modes, Comput. Mater. Sci., 2012, 56, p 34–42
A. Ramazani, K. Mukherjee, H. Quade, U. Prahl, and W. Bleck, Correlation Between 2D and 3D Flow Curve Modelling of DP Steels using a Microstructure-Based RVE Approach, Mater. Sci. Eng. A, 2013, 560, p 129–139
S. Huang, C.F. He, Y.X. Zhao et al., Uniaxial Tension Simulation Using Real Microstructure-based Representative Volume Elements Model of Dual Phase Steel Plate, Procedia Engineering, 2014, 81, p 1384-1389.
R. Rodriguez and I. Gutierrez, Unified Formulation to Predict the Tensile Curves of Steels with Different Microstructures, Mater. Sci. Forum, 2003, 426–432, p 4525–4530
R.K.A. Al-Rub, M. Ettehad, and A.N. Palazotto, Microstructural Modeling of Dual Phase Steel Using a Higher-Order Gradient Plasticity-Damage Model, Int. J. Solids Struct., 2015, 58, p 178–189
S. Huang, Y.X. Zhao, and C.F. He, Stamping Failure Analysis of Advanced High Strength Steel Sheet Based on Non-uniform Local Deformation Through Thickness, NUMISHEET2014, AIP Publishing, 2013, 1567, p 583-586.
S. Sriram, H. Yao, and N. Ramisetti, Development of an Empirical Model to Characterize Fracture Behavior During Forming of Advanced High Strength Steels Under Bending Dominated Conditions, J. Manuf. Sci. E-T ASME, 2012, 134, p 031003
Acknowledgments
This work is supported by the National Natural Science Foundation of China under Grant No. 51075267, 51375308, 51275296, 51375307 and International cooperation program in science and technology of Ministry of Science and Technology of China under Grant No. 2010DFA72760. The authors are grateful to other colleagues for their help in experiments.
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Huang, S., He, C. & Zhao, Y. Microstructure-Based RVE Approach for Stretch-Bending of Dual-Phase Steels. J. of Materi Eng and Perform 25, 966–976 (2016). https://doi.org/10.1007/s11665-016-1880-3
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DOI: https://doi.org/10.1007/s11665-016-1880-3