Skip to main content
Log in

Fracture Prediction for an Advanced High-Strength Steel Sheet Using the Fully Coupled Elastoplastic Damage Model with Stress-State Dependence

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

In this study, the numerical simulations of sheet metal forming processes are performed based on a fully coupled elastoplastic damage model. The effects of stress triaxiality and Lode angle are introduced into the damage evolution law to capture the loading-path-dependent failure. The proposed constitutive model is implemented into the finite element (FE) code ABAQUS/Explicit via the user-defined subroutine (VUMAT). Next, the identification procedure for DP780 based on the hybrid experimental–numerical method is presented in detail. The numerical results of simple tests are compared with the experiments, and obvious improvement is observed for the proposed model under various loading paths. Finally, the model is applied to predict the edge fracture during sheet blanking process. The predicted global load–displacement responses and crack paths have a good agreement with the experimental results, indicating that the model holds great potentials in simulation of metal forming processes.

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

Similar content being viewed by others

References

  1. Freudenthal AM. The inelastic behavior of engineering materials and structures. New York: Wiley; 1950.

    Google Scholar 

  2. Bai Y, Wierzbicki T. A new model of metal plasticity and fracture with pressure and Lode dependence. Int J Plast. 2008;24(6):1071–96.

    Article  Google Scholar 

  3. Xue L, Wierzbicki T. Ductile fracture initiation and propagation modeling using damage plasticity theory. Eng Fract Mech. 2008;75(11):3276–93.

    Article  Google Scholar 

  4. Lou Y, Huh H. Prediction of ductile fracture for advanced high strength steel with a new criterion: experiments and simulation. J Mater Process Technol. 2013;213(8):1284–302.

    Article  Google Scholar 

  5. Gu B, He J, Li S, Lin Z. Anisotropic fracture modeling of sheet metals: from in-plane to out-of-plane. Int J Solids Struct. 2020;182–183:112–40.

    Article  Google Scholar 

  6. Lemaitre J. A continuous damage mechanics model for ductile fracture. Trans ASME J Eng Mater Technol. 1985;107(1):83–9.

    Article  MathSciNet  Google Scholar 

  7. Gurson AL. 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. 1977;99(1):2–15.

    Article  Google Scholar 

  8. Needleman A, Tvergaard V. An analysis of ductile rupture in notched bars. J Mech Phys Solids. 1984;32(6):461–90.

    Article  Google Scholar 

  9. Chang Y, Jiao G, Zhang K, Wang B, Ju J. Application and theoretical analysis of C/SiC composites based on continuum damage mechanics. Acta Mech Solida Sin. 2013;26(5):491–9.

    Article  Google Scholar 

  10. Badreddine H, Labergère C, Saanouni K. Ductile damage prediction in sheet and bulk metal forming. Comp Ren Méca. 2016;344(4–5):296–318.

    Google Scholar 

  11. Cao TS, Gachet JM, Montmitonnet P, Bouchard PO. A Lode-dependent enhanced Lemaitre model for ductile fracture prediction at low stress triaxiality. Eng Fract Mech. 2014;124–125:80–96.

    Article  Google Scholar 

  12. Yue Z, Cao K, Badreddine H, Saanouni K, Gao J. Failure prediction on steel sheet under different loading paths based on fully coupled ductile damage model. Int J Mech Sci. 2019;153–154:1–9.

    Article  Google Scholar 

  13. Zhang K, Badreddine H, Saanouni K. Ductile fracture prediction using enhanced CDM model with Lode angle-dependency for titanium alloy Ti-6Al-4V at room temperature. J Mater Process Technol. 2020;277:116462.

    Article  Google Scholar 

  14. Malcher L, Mamiya EN. An improved damage evolution law based on continuum damage mechanics and its dependence on both stress triaxiality and the third invariant. Int J Plast. 2014;56:232–61.

    Article  Google Scholar 

  15. Saanouni K. Damage mechanics in metal forming: advanced modeling and numerical simulation. Hoboken: Wiley; 2012.

    Book  Google Scholar 

  16. Zhang K, Badreddine H, Saanouni K. Thermomechanical modeling of distortional hardening fully coupled with ductile damage under non-proportional loading paths. Int J Solids Struct. 2018;144:123–36.

    Article  Google Scholar 

  17. Wang K, Luo M, Wierzbicki T. Experiments and modeling of edge fracture for an AHSS sheet. Int J Fract. 2014;187(2):245–68.

    Article  Google Scholar 

  18. Wang K, Wierzbicki T. Experimental and numerical study on the plane-strain blanking process on an AHSS sheet. Int J Fract. 2015;194(1):19–36.

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the Fundamental Research Funds for the Central Universities (20CX06023A), Qingdao Postdoctoral Applied Research Program (QD20190014), National Natural Science Foundation of China (No. 11802131) and Key R&D Program in Shandong Province (2019GHZ001).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Kai Zhang or Jianlin Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, K., Wang, M., Liu, W. et al. Fracture Prediction for an Advanced High-Strength Steel Sheet Using the Fully Coupled Elastoplastic Damage Model with Stress-State Dependence. Acta Mech. Solida Sin. 34, 263–273 (2021). https://doi.org/10.1007/s10338-020-00185-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10338-020-00185-w

Keywords

Navigation