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

  • Yan-Min Xie
  • Ren-Yong Huang
  • Wei Tang
  • Bei-Bei Pan
  • Fei Zhang
Regular Paper


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.


Transformation induced plasticity (TRIP) Hardening model Twist springback Springback compensation 



increment of back stress


undetermined constant


flow stress


initial yield stress


deviator of back stress component


equivalent stress

A, B, n, C, m

material properties


equivalent strain


equivalent strain rate


dimensionless equivalent strain rate


reference strain rate


dimensionless temperature


reference temperature


melting temperature


back stress of kinematic hardening


isotropic hardening stress

b, c, Q, γ

undetermined coefficient


increment of plastic strain


equivalent plastic strain rate


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  1. 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.CrossRefGoogle Scholar
  2. 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.CrossRefGoogle Scholar
  3. 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.CrossRefGoogle Scholar
  4. 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.CrossRefGoogle Scholar
  5. 5.
    Wagoner, R. H., Lim, H., and Lee, M.-G., “Advanced Issues in Springback,” International Journal of Plasticity, Vol. 45, pp. 3–20, 2013.CrossRefGoogle Scholar
  6. 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.CrossRefGoogle Scholar
  7. 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.CrossRefGoogle Scholar
  8. 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.CrossRefGoogle Scholar
  9. 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.CrossRefGoogle Scholar
  10. 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.CrossRefGoogle Scholar
  11. 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.CrossRefGoogle Scholar
  12. 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.CrossRefGoogle Scholar
  13. 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.CrossRefGoogle Scholar
  14. 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.Google Scholar
  15. 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)CrossRefGoogle Scholar
  16. 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.CrossRefGoogle Scholar
  17. 17.
    Ziegler, H., “A Modification of Prager’s Hardening Rule,” Quarterly of Applied Mathematics, Vol. 17, No. 1, pp. 55–65, 1959.MathSciNetCrossRefzbMATHGoogle Scholar
  18. 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.CrossRefzbMATHGoogle Scholar
  19. 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.CrossRefzbMATHGoogle Scholar
  20. 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. 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.CrossRefGoogle Scholar
  22. 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. 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.CrossRefGoogle Scholar
  24. 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. 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.CrossRefGoogle Scholar
  26. 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

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© Korean Society for Precision Engineering and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical EngineeringSouthwest Jiaotong UniversityChengduChina

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