Skip to main content
SpringerLink
Log in

A novel analytical model to predict springback of DP780 steel based on modified Yoshida-Uemori two-surface hardening model

  • Original Research
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

Advanced high strength steels are widely used in the automotive industry due to their appropriate strength to weight ratio. This alloy has unique hardening behavior. In this paper, a novel analytical model is introduced to predict springback in U-shaped bending process of as-received and pre-strained DP780 dual phase steel specimens. This model is based on the Hill48 yield criterion and plane -strain condition. The effect of sheet thinning and the motion of the neutral surface is taken into account on the springback. The modified Yoshida-Uemori two surface hardening model is applied to investigate the effect of work hardening stagnation. This novel model is examined on the Numisheet 2011 benchmark 4. The effects of the blank holder force and work hardening stagnation are studied on the sheet springback phenomenon. By comparison of the present model with previous alternate models, obtaining the more accuracy is tangible. Also, it is demonstrated that the springback parameters have more changes with increasing the blank holder force. Also, the parameter of the work hardening stagnation has more effect on the pre-strained specimen as compared to the as-received sample.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

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

Similar content being viewed by others

References

  1. Yoshida F, Uemori T (2002) A model of large-strain cyclic plasticity describing the Bauschinger effect and work hardening stagnation. Int J Plast 18:661–686

    Article  MATH  Google Scholar 

  2. Ghaei A, Green DE, Taherizadeh A (2010) Semi-implicit numerical integration of Yoshida–Uemori two-surface plasticity model. Int J Mech Sci 52:531–540

    Article  Google Scholar 

  3. Ghaei A, Green DE (2010) Numerical implementation of Yoshida–Uemori two-surface plasticity model using a fully implicit integration scheme. Comput Mater Sci 48:195–205

    Article  Google Scholar 

  4. Hu K-K, Peng X-Q, Chen J et al (2011) Springback prediction of automobile body panel based on Yoshida-Uemori material model [J]. Mater Sci Technol 6:9

    Google Scholar 

  5. ZHANG L, CHEN J, CHEN J (2012) Springback prediction of advanced high strength steel part based on Yoshida-Uemori hardening model. Die Mould Technol 3:4

    Google Scholar 

  6. Zhu YX, Liu YL, Li HP, Yang H (2013) Springback prediction for rotary-draw bending of rectangular H96 tube based on isotropic, mixed and Yoshida–Uemori two-surface hardening models. Mater Des 47:200–209

    Article  Google Scholar 

  7. Kagzi SA, Gandhi AH, Dave HK, Raval HK (2016) An analytical model for bending and springback of bimetallic sheets. Mech Adv Mater Struct 23:80–88

    Article  Google Scholar 

  8. Yi HK, Kim DW, Van Tyne CJ, Moon YH (2008) Analytical prediction of springback based on residual differential strain during sheet metal bending. Proc Inst Mech Eng part C. J Mech Eng Sci 222:117–129

    Article  Google Scholar 

  9. Yang X, Choi C, Sever NK, Altan T (2016) Prediction of springback in air-bending of advanced high strength steel (DP780) considering young′ s modulus variation and with a piecewise hardening function. Int J Mech Sci 105:266–272

    Article  Google Scholar 

  10. Zhang D, Cui Z, Chen Z, Ruan X (2007) An analytical model for predicting sheet springback after V-bending. J Zhejiang Univ A 8:237–244

    Article  MATH  Google Scholar 

  11. Parsa MH, Pishbin H, Kazemi M (2012) Investigating springback phenomena in double curved sheet metals forming. Mater Des 41:326–337

    Article  Google Scholar 

  12. Zhang LC, Lin Z (1997) An analytical solution to springback of sheet metals stamped by a rigid punch and an elastic die. J Mater Process Technol 63:49–54

    Article  Google Scholar 

  13. Xue P, Yu TX, Chu E (1999) Theoretical prediction of the springback of metal sheets after a double-curvature forming operation. J Mater Process Technol 89:65–71

    Article  Google Scholar 

  14. Pourboghrat F, Chu E (1995) Springback in plane strain stretch/draw sheet forming. Int J Mech Sci 37:327–341

    Article  MATH  Google Scholar 

  15. Zhang D, Cui Z, Ruan X, Li Y (2007) An analytical model for predicting springback and side wall curl of the sheet after U-bending. Comput Mater Sci 38:707–715

    Article  Google Scholar 

  16. Nanu N, Brabie G (2012) Analytical model for prediction of springback parameters in the case of U stretch–bending process as a function of stresses distribution in the sheet thickness. Int J Mech Sci 64:11–21

    Article  Google Scholar 

  17. Jiang H-J, Dai H-L (2015) A novel model to predict U-bending springback and time-dependent springback for an HSLA steel plate. Int J Adv Manuf Technol 81:1055–1066

    Article  Google Scholar 

  18. Zajkani A, Hajbarati H (2017) An analytical modeling for springback prediction during U-bending process of advanced high-strength steels based on anisotropic nonlinear kinematic hardening model. Int J Adv Manuf Technol 90:349–359

    Article  Google Scholar 

  19. Zajkani A, Hajbarati H (2017) Investigation of the variable elastic unloading modulus coupled with nonlinear kinematic hardening in springback measuring of advanced high-strength steel in U-shaped process. J Manuf Process 25:391–401

    Article  Google Scholar 

  20. Eggertsen P-A, Mattiasson K (2009) On the modeling of the bending–unbending behavior for accurate springback predictions. Int J Mech Sci 51:547–563

    Article  Google Scholar 

  21. Lee J-Y, Lee J-W, Lee M-G, Barlat F (2012) An application of homogeneous anisotropic hardening to springback prediction in pre-strained U-draw/bending. Int J Solids Struct 49:3562–3572

    Article  Google Scholar 

  22. Eggertsen P, Mattiasson K, Larsson M (2011) A comprehenisve analysis of benchmark 4: pre-strain effect on springback Of 2D draw bending. In: AIP Conf. Proc. AIP, pp 1064–1071

  23. Hill R (1998) The mathematical theory of plasticity. Oxford University Press, New York

    MATH  Google Scholar 

  24. Chung K, Kuwabara T, Verma R, Park T (2011) Numisheet 2011 Benchmark 4: Pre-strain effect on spring-back of 2D draw bending. In: Proc. 8th NUMISHEET Conf. Seoul, Korea. pp 171–175

  25. Zang S, Lee M, Kim JH (2013) Evaluating the significance of hardening behavior and unloading modulus under strain reversal in sheet springback prediction. Int J Mech Sci 77:194–204

    Article  Google Scholar 

  26. Sae-Eaw N, Thanadngarn C, Sirivedin K et al (2013) The study of the springback effect in the UHSS by U-bending process. King Mongkut’s Univ Technol North Bangkok. Int J Appl Sci Technol 6:19–25

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran

    Hamid Hajbarati & Asghar Zajkani

Authors
  1. Hamid Hajbarati
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Asghar Zajkani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hamid Hajbarati.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hajbarati, H., Zajkani, A. A novel analytical model to predict springback of DP780 steel based on modified Yoshida-Uemori two-surface hardening model. Int J Mater Form 12, 441–455 (2019). https://doi.org/10.1007/s12289-018-1427-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12289-018-1427-2

Keywords

Search

Navigation