Skip to main content
Log in

An Experimental and Numerical Investigation on the Twist Springback of Transformation Induced Plasticity 780 Steel Based on Different Hardening Models

  • Regular Paper
  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Investigation on twist springback is important to improve the accuracy of forming parts. In this paper, a double C rail made of transformation induced plasticity 780 (TRIP 780) steel is designed, and the stamping and twist springback are simulated with ABAQUS based on three different hardening models (including Ziegler, Johnson-Cook and combined hardening models). A new index for calculating the twist springback is proposed, which is based on the angle between two end section lines of the double C rail. The experimental results of twist springback are compared with the calculation results from three different hardening models. The calculation results based on combined hardening model are the closest to the experiment data. In order to compensate twist springback, a curved surface die is designed based on the geometric shape of the double C rail after twist springback. The stamping and twist springback are simulated based on the curved surface die and combined hardening model, and the twist springback is decreased obviously after compensation, which shows that the compensation of twist springback is effective.

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.

Similar content being viewed by others

Abbreviations

dα :

increment of back stress

dμ :

undetermined constant

σ :

flow stress

σ 0 :

initial yield stress

α':

deviator of back stress component

σ eq :

equivalent stress

A, B, n, C, m :

material properties

ε eq :

equivalent strain

ε eq :

equivalent strain rate

ε eq :

dimensionless equivalent strain rate

ε 0 :

reference strain rate

T*:

dimensionless temperature

T r :

reference temperature

T m :

melting temperature

α :

back stress of kinematic hardening

R :

isotropic hardening stress

b, c, Q, γ :

undetermined coefficient

dεP:

increment of plastic strain

dP :

equivalent plastic strain rate

References

  1. Dan, W., Li, S., Zhang, W., and Lin, Z., “The Effect of Strain-Induced Martensitic Transformation on Mechanical Properties of Trip Steel,” Materials & Design, Vol. 29, No. 3, pp. 604–612, 2008.

    Article  Google Scholar 

  2. Fei, D. and Hodgson, P., “Experimental and Numerical Studies of Springback in Air V-Bending Process for Cold Rolled Trip Steels,” Nuclear Engineering and Design, Vol. 236, No. 18, pp. 1847–1851, 2006.

    Article  Google Scholar 

  3. Andersson, A., “Numerical and Experimental Evaluation of Springback in Advanced High Strength Steel,” Journal of Materials Engineering and Performance, Vol. 16, No. 3, pp. 301–307, 2007.

    Article  Google Scholar 

  4. Gantar, G., Pepelnjak, T., and Kuzman, K., “Optimization of Sheet Metal Forming Processes by the Use of Numerical Simulations,” Journal of Materials Processing Technology, Vols. 130-131, pp. 54–59, 2002.

    Article  Google Scholar 

  5. Wagoner, R. H., Lim, H., and Lee, M.-G., “Advanced Issues in Springback,” International Journal of Plasticity, Vol. 45, pp. 3–20, 2013.

    Article  Google Scholar 

  6. Lee, J. Y., Lee, M. G., and Barlat, F., “Evaluation of Constitutive Models for Springback Prediction in U-Draw/Bending of DP and TRIP Steel Sheets,” AIP Conference Proceedings, Vol. 1383, No. 1, pp. 571–578, 2011.

    Article  Google Scholar 

  7. Pham, C., Thuillier, S., and Manach, P.-Y., “Twisting Analysis of Ultra-Thin Metallic Sheets,” Journal of Materials Processing Technology, Vol. 214, No. 4, pp. 844–855, 2014.

    Article  Google Scholar 

  8. Abdullah, A. B., Salit, M. S., Samad, Z., MTandoor, K. H., and Aziz, N. A., “Twist Springback Measurement of Autonomous Underwater Vehicle Propeller Blade Based on Profile Deviation,” American Journal of Applied Sciences, Vol. 10, No. 5, pp. 515–524, 2013.

    Article  Google Scholar 

  9. Zhang, Z., Wu, J., Guo, R., Wang, M., Li, F., et al., “A Semi-Analytical Method for the Springback Prediction of Thick-Walled 3D Tubes,” Materials & Design, Vol. 99, pp. 57–67, 2016.

    Article  Google Scholar 

  10. Liao, J., Xue, X., Lee, M.-G., Barlat, F., and Gracio, J., “On Twist Springback Prediction of Asymmetric Tube in Rotary Draw Bending with Different Constitutive Models,” International Journal of Mechanical Sciences, Vol. 89, pp. 311–322, 2014.

    Article  Google Scholar 

  11. Li, H., Sun, G., Li, G., Gong, Z., Liu, D., and Li, Q., “On Twist Springback in Advanced High-Strength Steels,” Materials & Design, Vol. 32, No. 6, pp. 3272–3279, 2011.

    Article  Google Scholar 

  12. Xue, X., Liao, J., Vincze, G., and Barlat, F., “Twist Springback Characteristics of Dual-Phase Steel Sheet after Non-Axisymmetric Deep Drawing,” International Journal of Material Forming, Vol. 10, No. 2, pp. 267–278, 2017.

    Article  Google Scholar 

  13. Eggertsen, P.-A. and Mattiasson, K., “Experiences from Experimental and Numerical Springback Studies of a Semi-Industrial Forming Tool,” International Journal of Material Forming, Vol. 5, No. 4, pp. 341–359, 2012.

    Article  Google Scholar 

  14. Xue, X., Liao, J., Vincze, G., and Pereira, A., “Experimental Validation of Numerical Model for Asymmetric Deep Drawing of DP780 Steel Sheet Using Digital Image Correlation,” Journal of Physics: Conference Series, Vol. 734, Part B, Paper No. 032102, 2016.

  15. Yu. H. Y. and Wang, Y., “A Combined Hardening Model Based on Chabcohe Theory and Its Application in the Springback Simulation,” Journal of Mechanical Engineering, Vol. 51, No. 16, pp. 127–134, 2015. (in Chinese)

    Article  Google Scholar 

  16. Jiang, W., Yang, B., Guan, X., and Luo, Y., “Bending and Twisting Springback Prediction in the Punching of the Core for a Lattice Truss Sandwich Structure,” Acta Metallurgica Sinica (English Letters), Vol. 26, No. 3, pp. 241–246, 2013.

    Article  Google Scholar 

  17. Ziegler, H., “A Modification of Prager’s Hardening Rule,” Quarterly of Applied Mathematics, Vol. 17, No. 1, pp. 55–65, 1959.

    Article  MathSciNet  MATH  Google Scholar 

  18. Chaboche, J. L. and Jung, O., “Application of a Kinematic Hardening Viscoplasticity Model with Thresholds to the Residual Stress Relaxation,” International Journal of Plasticity, Vol. 13, No. 10, pp. 785–807, 1997.

    Article  MATH  Google Scholar 

  19. Chaboche, J. L., “A Review of Some Plasticity and Viscoplasticity Constitutive Theories,” International Journal of Plasticity, Vol. 24, No. 10, pp. 1642–1693, 2008.

    Article  MATH  Google Scholar 

  20. Johnson, G. R., “A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures,” Proc. of the 7th International Symposium on Ballistics, 1983.

    Google Scholar 

  21. Xue, X., Liao, J., Vincze, G., Sousa, J., Barlat, F., and Gracio, J., “Modelling and Sensitivity Analysis of Twist Springback in Deep Drawing of Dual-Phase Steel,” Materials & Design, Vol. 90, pp. 204–217, 2016.

    Article  Google Scholar 

  22. Guo, C.-Q., Chen, J., Chen, J.-S., Xu, D.-K., and Bai, Y.-C., “Numerical Simulation and Experimental Validation of Distortional Springback of Advanced High-Strength Steel Sheet Metal Forming,” Journal of Shanghai Jiaotong University, Vol. 44, No. 4, pp. 468–472, 2010.

    Google Scholar 

  23. Xie, Y., Sun, X., Tian, Y., He, Y., and Zhuo, D., “Optimization of Parameters in Twist Springback Process for High-Strength Sheets Based on Improved Particle Swarm Optimization Algorithm and Wavelet Neural Network,” Journal of Mechanical Engineering, Vol. 52, No. 19, pp. 162–167, 2016.

    Article  Google Scholar 

  24. Voce, E., “The Relationship between Stress and Strain for Homogeneous Deformation,” Journal of the Institute of Metals, Vol. 74, pp. 537–562, 1948.

    Google Scholar 

  25. Mahmoudi, A., Pezeshki-Najafabadi, S., and Badnava, H., “Parameter Determination of Chaboche Kinematic Hardening Model Using a Multi Objective Genetic Algorithm,” Computational Materials Science, Vol. 50, No. 3, pp. 1114–1122, 2011.

    Article  Google Scholar 

  26. Zhang, Q., Li, D., and Peng, Y., “Research on the Dynamic Mechanical Characteristics of TRIP780 High Strength Steel Sheets,” Journal of Plasticity Engineering, Vol. 16, No. 6, pp. 6–10, 2009.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan-Min Xie.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xie, YM., Huang, RY., Tang, W. et al. An Experimental and Numerical Investigation on the Twist Springback of Transformation Induced Plasticity 780 Steel Based on Different Hardening Models. Int. J. Precis. Eng. Manuf. 19, 513–520 (2018). https://doi.org/10.1007/s12541-018-0062-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-018-0062-7

Keywords

Navigation