Skip to main content
Log in

Predicting grid-size-dependent fracture strains of DP980 with a microstructure-based post-necking model

  • Original Paper
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Ductile fracture is a local phenomenon, and it is well established that fracture strain levels depend on both stress triaxiality and the resolution (grid size) of strain measurements. Two-dimensional plane strain post-necking models with different model sizes are used to predict the grid-size-dependent fracture strain of a commercial dual-phase steel, DP980. The models are generated from the actual microstructures, and the individual phase flow properties and literature-based individual phase damage parameters for the Johnson–Cook model are used for ferrite and martensite. A monotonic relationship is predicted: the smaller the model size, the higher the fracture strain. Thus, a general framework is developed to quantify the grid-size-dependent fracture strains for multiphase materials. In addition to the grid-size dependency, the influences of intrinsic microstructure features, i.e., the flow curve and fracture strains of the two constituent phases, on the predicted fracture strains also are examined. Application of the derived fracture strain versus model size relationship is demonstrated with large clearance trimming simulations with different element sizes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Avramovic-Cingara G, Saleh CA, Jain M, Wilkinson D (2009) Void nucleation and growth in dual-phase steel 600 during uniaxial tensile testing. Metall Mater Trans A 40:3117–3127

    Article  Google Scholar 

  • Azizi-Alizamini H, Militzer M, Poole WJ (2011) Formation of ultrafine grained dual phase steels through rapid heating. ISIJ Int 51:958–964

    Article  Google Scholar 

  • Beese AM, Luo M, Li Y, Bai Y, Wierzbicki T (2010) Partially coupled anisotropic fracture model for aluminum sheets. Eng Fract Mech 77:1128–1152

    Article  Google Scholar 

  • Calcagnotto M, Adachi Y, Ponge D, Raabe D (2011) Deformation and fracture mechanisms in fine- and ultrafine-grained ferrite/martensite dual-phase steels and the effect of aging. Acta Mater 59:658–670

    Article  Google Scholar 

  • Carroll JD, Abuzaid W, Lambros J, Sehitoglu H (2013) High resolution digital image correlation measurements of strain accumulation in fatigue crack growth. Int J Fatigue 57:140–150

    Article  Google Scholar 

  • Cheng G, Barker EI, Stephens EV, Choi KS, Sun X (2016a) Quantifying grain level stress–strain behavior for AM40 via instrumented microindentation. MRS Adv 1:761–772

    Article  Google Scholar 

  • Cheng G, Choi KS, Hu X, Sun X (2016b) Determining individual phase properties in a multi-phase Q&P steel using multi-scale indentation tests. Mater Sci Eng A 652:384–395

    Article  Google Scholar 

  • Cheng G, Zhang F, Ruimi A, Field DP, Sun X (2016c) Quantifying the effects of tempering on individual phase properties of DP980 steel with nanoindentation. Mater Sci Eng A 667:240–249

    Article  Google Scholar 

  • Cheng G, Choi KS, Hu X, Sun X (2017a) Application of nano-indentation test in estimating constituent phase properties for microstructure-based modeling of multiphase steels. SAE Int J Engines 10(2):405–412

    Article  Google Scholar 

  • Cheng G, Choi KS, Hu X, Sun X (2017b) Predicting deformation limits of dual-phase steels under complex loading paths. JOM 69:1046–1051

    Article  Google Scholar 

  • Choi KS, Liu WN, Sun X, Khaleel MA, Ren Y, Wang YD (2008) Advanced micromechanical model for transformation-induced plasticity steels with application of in-situ high-energy X-ray diffraction method. Metall Mater Trans A 39a:3089–3096

    Article  Google Scholar 

  • Choi KS, Barker E, Cheng G, Sun X, Forsmark J, Li M (2016) Predicting stress versus strain behaviors of thin-walled high pressure die cast magnesium alloy with actual pore distribution. SAE Int J Mater Manuf 9:361–367

    Article  Google Scholar 

  • Faura F, Garcıa A, Estrems M (1998) Finite element analysis of optimum clearance in the blanking process. J Mater Process Technol 80:121–125

    Article  Google Scholar 

  • Fleck NA, Muller GM, Ashby MF, Hutchinson JW (1994) Strain gradient plasticity: theory and experiment. Acta Mater 42:475–487

    Article  Google Scholar 

  • Fleck NA, Hutchinson JW (1997) Strain gradient plasticity. Adv Appl Mech 33:295–361

    Article  Google Scholar 

  • Gao H, Huang Y, Nix WD, Hutchinson JW (1999) Mechanism-based strain gradient plasticity-I. Theory J Mech Phys Solids 47:1239–1263

    Article  Google Scholar 

  • Ghahremaninezhad A, Ravi-Chandar K (2012) Ductile failure behavior of polycrystalline Al 6061–T6. Int J Fract 174:177–202

    Article  Google Scholar 

  • Ghahremaninezhad A, Ravi-Chandar K (2013) Ductile failure behavior of polycrystalline Al 6061–T6 under shear dominant loading. Int J Fract 180:23–39

    Article  Google Scholar 

  • Gitman I, Askes H, Sluys L (2007) Representative volume: existence and size determination. Eng Fract Mech 74:2518–2534

    Article  Google Scholar 

  • Golovashchenko SF (2006) A study on trimming of aluminum autobody sheet and development of a new robust process eliminating burrs and slivers. Int J Mech Sci 48:1384–1400

    Article  Google Scholar 

  • Greer JR, De Hosson JTM (2011) Plasticity in small-sized metallic systems: intrinsic versus extrinsic size effect. Prog Mater Sci 56:654–724

    Article  Google Scholar 

  • Hassannejadasl A, Green DE, Golovashchenko SF, Samei J, Maris C (2014) Numerical modelling of electrohydraulic free-forming and die-forming of DP590 steel. J Manuf Processes 16:391–404

    Article  Google Scholar 

  • Hosemann P, Swadener JG, Kiener D, Was GS, Maloy SA, Li N (2008) An exploratory study to determine applicability of nano-hardness and micro-compression measurements for yield stress estimation. J Nucl Mater 375:135–143

    Article  Google Scholar 

  • Hu X, Jain M, Wilkinson D, Mishra R (2008) Microstructure-based finite element analysis of strain localization behavior in AA5754 aluminum sheet. Acta Mater 56:3187–3201

    Article  Google Scholar 

  • Hu X, Wilkinson D, Jain M, Wu P, Mishra R (2011) The impact of particle distributions and grain-level inhomogeneities on post-necking deformation and fracture in AA5754 sheet alloys during uniaxial tension. Mater Sci Eng A 528:2002–2016

    Article  Google Scholar 

  • Hu X, Choi KS, Sun X, Golovashchenko SF (2014) Edge fracture prediction of traditional and advanced trimming processes for AA6111-T4 sheets. J Manuf Sci Eng 136:021016

    Article  Google Scholar 

  • Hu X, Choi KS, Sun X, Ren Y, Wang Y (2016a) Determining individual phase flow properties in a quench and partitioning steel with in situ high-energy X-ray diffraction and multiphase elasto-plastic self-consistent method. Metall Mater Trans A 47:5733–5749

    Article  Google Scholar 

  • Hu X, Sun X, Golovashchenko SF (2016b) An integrated finite element-based simulation framework: from hole piercing to hole expansion. Finite Elem Anal Des 109:1–13

    Article  Google Scholar 

  • Huang H, Spaepen F (2000) Tensile testing of free-standing Cu, Ag and Al thin films and Ag/Cu multilayers. Acta Mater 48:3261–3269

    Article  Google Scholar 

  • Hubert C, Dubar L, Dubar M, Dubois A (2012) Finite element simulation of the edge-trimming/cold rolling sequence: analysis of edge cracking. J Mater Process Technol 212:1049–1060

    Article  Google Scholar 

  • Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21:31–48

    Article  Google Scholar 

  • Kadkhodapour J, Butz A, Ziaei-Rad S, Schmauder S (2011) A micro mechanical study on failure initiation of dual phase steels under tension using single crystal plasticity model. Int J Plast 27:1103–1125

    Article  Google Scholar 

  • Kweon S (2012) Damage at negative triaxiality. Eur J Mech A Solid 31:203–212

    Article  Google Scholar 

  • Ma A, Roters F, Raabe D (2006) On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling-theory, experiments, and simulations. Acta Mater 54:2181–2194

    Article  Google Scholar 

  • Muralidharan K, Simmons JH, Deymier PA, Runge K (2005) Molecular dynamics studies of brittle fracture in vitreous silica: review and recent progress. J Non Cryst Solids 351:1532–1542

    Article  Google Scholar 

  • Nix WD, Gao H (1998) Indentation size effects in crystalline materials: a law for strain gradient plasticity. J Mech Phys Solids 46:411–425

    Article  Google Scholar 

  • Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20:062001

    Article  Google Scholar 

  • Raghavan KS, Hu X, Sun X (2016) Effects of martensite and ferrite properties on hole expansion ratio of dual phase 980 steel. In: Materials science & techology, Salt Lake City, Utah, USA, October 24

  • Schwartz AJ, Kumar M, Adams BL, Field DP (2009) Electron backscatter diffraction in materials science, vol 2. Springer, Berlin

    Book  Google Scholar 

  • Srivastava A, Bower AF, Hector LG Jr, Carsley JE, Zhang L, Abu-Farha F (2016) A multiscale approach to modeling formability of dual-phase steels. Modell Simul Mater Sci Eng 24:025011

    Article  Google Scholar 

  • Sun X, Choi KS, Liu WN, Khaleel MA (2009a) Predicting failure modes and ductility of dual phase steels using plastic strain localization. Int J Plast 25:1888–1909

    Article  Google Scholar 

  • Sun X, Choi KS, Soulami A, Liu WN, Khaleel MA (2009b) On key factors influencing ductile fractures of dual phase (DP) steels. Mater Sci Eng A 526:140–149

    Article  Google Scholar 

  • Sun X, Soulami A, Choi KS, Guzman O, Chen W (2012) Effects of sample geometry and loading rate on tensile ductility of TRIP800 steel. Mater Sci Eng A 541:1–7

    Article  Google Scholar 

  • Tasan CC, Hoefnagels JPM, Geers MGD (2010) Microstructural banding effects clarified through micrographic digital image correlation. Scr Mater 62:835–838

    Article  Google Scholar 

  • Taylor M, Matlock D, De Moor E, Speer J (2014) Development of a plane strain tensile geometry to assess shear fracture in dual phase steels. J Mater Eng Perform 23:3685–3694

  • Taylor MD (2016) Effect of microstructure on the fracture response of advanced high strength steels. Doctoral dissertation, Colorado School of Mines

  • Turon A, Davila CG, Camanho PP, Costa J (2007) An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models. Eng Fract Mech 74:1665–1682

    Article  Google Scholar 

  • Wierzbicki T, Bao Y, Lee Y-W, Bai Y (2005) Calibration and evaluation of seven fracture models. Int J Mech Sci 47:719–743

    Article  Google Scholar 

  • Wilkins M, Streit R, Reaugh J (1980) Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests. Lawrence Livermore National Lab, Livermore

    Book  Google Scholar 

  • Xie S, George EP (2008) Size-dependent plasticity and fracture of a metallic glass in compression. Intermetallics 16:485–489

    Article  Google Scholar 

  • Xue L, Wierzbicki T (2008) Ductile fracture initiation and propagation modeling using damage plasticity theory. Eng Fract Mech 75:3276–3293

    Article  Google Scholar 

  • Zhao P, Chen Z, Dong C (2016) Experimental and numerical analysis of micromechanical damage for DP600 steel in fine-blanking process. J Mater Process Technol 236:16–25

    Article  Google Scholar 

Download references

Acknowledgements

Pacific Northwest National Laboratory (PNNL) is operated by Battelle for the U.S. Department of Energy (DOE) under Contract DE-AC05-76RL01830. This work was funded by the DOE’s Vehicle Technologies Office under the Automotive Lightweight Materials Program managed by Ms. Sarah Ollila.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Cheng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cheng, G., Hu, X.H., Choi, K.S. et al. Predicting grid-size-dependent fracture strains of DP980 with a microstructure-based post-necking model. Int J Fract 207, 211–227 (2017). https://doi.org/10.1007/s10704-017-0229-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-017-0229-8

Keywords

Navigation