Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지
DOI QR코드

DOI QR Code

New Stress-Strain Model for Identifying Plastic Deformation Behavior of Sheet Materials

판재의 소성변형 거동을 동정하기 위한 새로운 응력-변형률 모델

  • Kim, Young Suk (School of Mechanical Engineering, Kyungpook National University) ;
  • Pham, Quoc Tuan (Department of Mechanical Engineering, Graduate School, Kyungpook National University) ;
  • Kim, Chan Il (Institute of Mechanical Engineering Technology, Kyungpook National University)
  • Received : 2016.10.06
  • Accepted : 2017.01.06
  • Published : 2017.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In sheet metal forming numerical analysis, the strain hardening equation has a significant effect on calculation results, especially in the field of spring-back. This study introduces the Kim-Tuan strain hardening model. This model represents sheet material behavior over the entire strain hardening range. The proposed model is compared to other well known strain hardening models using a series of uniaxial tensile tests. These tests are performed to determine the stress-strain relationship for Al6016-T4, DP980, and CP Ti sheets. In addition, the Kim-Tuan model is used to integrate the CP Ti sheet strain hardening equation in ABAQUS analysis to predict spring-back amount in a bending test. These tests highlight the improved accuracy of the proposed equation in the numerical field. Bending tests to evaluate prediction accuracy are also performed and compared with numerical analysis results.

Keywords

References

  1. Sung, J. H., Kim, J. H., and Wagoner, R. H, “A Plastic Constitutive Equation Incorporating Strain, Strain-rate and Temperature,” International Journal of Plasticity, Vol. 26, No. 12, pp. 1746-1771, 2010. https://doi.org/10.1016/j.ijplas.2010.02.005
  2. Swift, H. W., “Plastic Instability under Plane Stresses,” Journal of the Mechanics and Physics of Solids, Vol. 1, No. 1, pp. 1-18, 1952. https://doi.org/10.1016/0022-5096(52)90002-1
  3. Voce, E., "The Relationship between Stress and Strain for Homogeneous Deformation," Journal of Institute of Metals, Vol. 74, pp. 537-562, 1948.
  4. Hill, R., "The Mathematical Theory of Plasticity," Clarendon Press, pp. 1-355, 1998.
  5. Taherizadeh, A., Green, D. E., Ghaei, A., and Yoon, J. W., “A Non-Associated Constitutive Model with Mixed Iso-Kinematic Hardening for Finite Element Simulation of Sheet Metal Forming,” International Journal of Plasticity, Vol. 26, No. 2, pp. 288-309, 2010. https://doi.org/10.1016/j.ijplas.2009.07.003
  6. Frederick, C. O. and Armstrong, P., “A Mathematical Representation of the Multiaxial Bauschinger Effect,” Materials at High Temperatures, Vol. 24, No. 1, pp. 1-26, 2007. https://doi.org/10.3184/096034007X207589
  7. Kim, Y.-S. and In, J.-H., “Evaluation of Press Formability of Pure Titanium Sheet,” Journal of the Korea Academia-Industrial Coorperation Society, Vol. 17, No. 3, pp. 380-388, 2016.
  8. Santos, A. D., Reis, A., Duarte, J., Teixeira, P., Rocha, A. B., et al., "A Benchmark for Validation of Numerical Results in Sheet Metal Forming," Journal of Materials Processing Technology, Vol. 155, pp. 1980-1985, 2004.
  9. Choi, S. H., Kim, E. Y., Woo, W., Han, S. H., and Kwak, J. H., "The Effect of Crystallographic Orientation on the Micromechanical Deformation and Failure Behaviors of DP980 Steel during Uniaxial Tension," International Journal of Plasticity, Vol. 45, pp. 85-102, 2013. https://doi.org/10.1016/j.ijplas.2012.11.013
  10. Chung, K., Lee, M.-G., Kim, D., Kim, C., Wenner, M. L., et al., "Spring-Back Evaluation of Automotive Sheets Based on Isotropic-Kinematic Hardening Laws and Non-Quadratic Anisotropic Yield Functions: Part I: Theory and Formulation," International Journal of Plasticity, Vol. 21, No. 5, pp. 861-882, 2005. https://doi.org/10.1016/j.ijplas.2004.05.016
  11. Burchitz, I., "Springback: Improvement of Its Predictability: Literature Study Report," Netherlands Institute for Metals Research, NIMR Project MC1.02121, pp. 1-83. 2005.
  12. Choi, K. Y., Lee, M. G., and Kim, H. Y., “Sheet Metal Forming Simulation Considering Die Deformation,” International Journal of Automotive Technology, Vol. 14, No. 6, pp. 935-940, 2013. https://doi.org/10.1007/s12239-013-0103-2
  13. Li, K. P., Carden, W. P., and Wagoner, R. H., “Simulation of Springback,” International Journal of Mechanical Sciences, Vol. 44, No. 1, pp. 103-122, 2002. https://doi.org/10.1016/S0020-7403(01)00083-2
  14. Stoughton, T. B., “A Non-Associated Flow Rule for Sheet Metal Forming,” International Journal of Plasticity, Vol. 18, No. 5, pp. 687-714, 2002. https://doi.org/10.1016/S0749-6419(01)00053-5
  15. Yoshida, F. and Uemori, T., “A Model of Large-Strain Cyclic Plasticity and Its Application to Springback Simulation,” International Journal of Mechanical Sciences, Vol. 45, No. 10, pp. 1687-1702, 2003. https://doi.org/10.1016/j.ijmecsci.2003.10.013
  16. Lee, J. W., Lee, M. G., and Barlat, F., "Finite Element Modeling Using Homogeneous Anisotropic Hardening and Application to Spring-Back Prediction," International Journal of Plasticity, Vol. 29, pp. 13-41, 2012. https://doi.org/10.1016/j.ijplas.2011.07.007