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The Temperature Dependent C-H/V Constitutive Modeling for Magnesium Alloy Sheet

마그네슘 판재를 위한 온도 의존형 C-H/V 구성 모델에 관한 연구

  • 박종현 (한국산업기술대학교 기계시스템공학과 대학원) ;
  • 이종길 (한국산업기술대학교 기계시스템공학과) ;
  • 김헌영 (국립강원대학교 기계의용공학과)
  • Received : 2012.01.06
  • Accepted : 2012.05.21
  • Published : 2012.07.01

Abstract

The automotive and electronic industries have seriously considered the use of magnesium alloys because of their excellent properties such as strength to weight ratio, EMI shielding capability, etc. However, it is difficult to form magnesium alloys at room temperature because of the mechanical deformation related to twinning. Hence, magnesium alloys are normally formed at elevated temperatures. In this study, a temperature dependent constitutive model, the C-H/V model, for the magnesium alloy AZ31B sheet is proposed. A hardening law based on nonlinear kinematic and H/V(Hollomon/Voce) hardening model is used to properly characterize the Bauschinger effect and the stabilization of the flow stress. Material parameters were determined from a series of uni-axial cyclic experiments(C-T-C) with the temperature ranging between 150 and $250^{\circ}C$. The developed models are fit to experimental data and a comparison is made.

Keywords

References

  1. J. K. Lee, J. K. Lee, H. S. Kim, H. Y. Kim, 2010, AIP Conference Proceedings Vol. 1252, American Institute of Physics, Pohang, Korea, pp.1031-1038.
  2. A. S. Khan, S. Huang, 1995, Continuum Theory of Plasticity, John Wiley & Sons Inc., New York, pp. 214-222.
  3. S. H. Park, S. G. Hong, 2010, Effect of {10i2} Twinning Characteristics on the Deformation Behavior of Rolled AZ31 Mg Alloy, Trans. Mater. Process., Vol. 19, No. 7, pp. 416-422. https://doi.org/10.5228/KSTP.2010.19.7.416
  4. Y. F. Dafalias, E. P. Popov, 1976, Plastic Internal Variables Formalism of Cyclic Plasticity, ASME, Trans. Ser. E-J. Appl. Mech. Vol. 43, No. 3, pp. 645-651. https://doi.org/10.1115/1.3423948
  5. C. O. Fredrick, P. J. Armstrong, 1966, Convergent Internal Stress and Steady Cyclic States of Stress, J. Strain Anal. Eng. Des., pp. 154-159.
  6. J. L. Chaboche, 2008, A review of some plasticity and viscoplasticity constitutive theories, Int. J. Plast., Vol. 24, No. 10, pp. 1642-1693. https://doi.org/10.1016/j.ijplas.2008.03.009
  7. J. H. Sung, J. H. Kim, R. H. Wagoner, 2010, A plastic constitutive equation incorporating strain, strain-rate, and temperature, Int. J. Plast., Vol. 26, No. 12, pp. 1016-1041.
  8. M. G. Lee, R. H. Wagoner, J. K. Lee, K. Chung, H. Y. Kim, 2008, Constitutive Modeling for Anisotropic/Asymmetric Hardening Behavior of Magnesium Alloy Sheets, Int. J. Plast., Vol. 24, No. 4 pp. 545-582. https://doi.org/10.1016/j.ijplas.2007.05.004
  9. M. G. Lee, K. Piao, J. K Lee, H. Y. Kim, R. H. Wagoner, 2007, AIP Conference Proceedings Vol. 908, American Institute of Physics, Porto, Portugal, pp. 667-672.
  10. B. K. Raghunath, K. Raghukandan, R. Karthikeyan, K. Palanikumar, U.T.S. Pillai, R. Ashok Gandhi, 2011, Flow Stress Modeling of AZ91 Magnesium Alloys at Elevated Temperature, J. Alloys Compd., Vol. 509, No. 15, pp. 4992-4998. https://doi.org/10.1016/j.jallcom.2011.01.182
  11. C. I. Chang, C. J. Lee, J. C. Huang, 2004, Relationship Between Grain Size and Zener-Holloman Parameter During Friction Stir Processing in AZ31 Mg Alloys, Scr. Mater., Vol. 51, No. 6, pp. 509-514. https://doi.org/10.1016/j.scriptamat.2004.05.043
  12. H. Takuda, H. Fujimoto, N. Hatta, 1998, Modeling on Flow Stress of Mg-Al-Zn Alloys at Elevated Temperatures, J. Mater. Process. Technol., Vol. 80, pp. 513-516 https://doi.org/10.1016/S0924-0136(98)00154-X
  13. M. L. Ma, X. G. Li, Y. J. Li, L. Q. He, K. Zhang, X. W. Wang, L. F. Chen, 2011, Establishment and Application of Flow Stress Models of Mg-Y-MM-Zr Alloy, Trans. Nonferrous Met. Soc. China, Vol. 21, No. 4, pp. 857-862. https://doi.org/10.1016/S1003-6326(11)60793-0
  14. W. F. Hosford, R. M. Caddell, M. Y. Huh, 1996, Metal Forming : Mechanics and Metallurgy (handbook), PTR Prentice Hall & Hee Joong Dang, Seoul, Korea, pp 105-111.
  15. M. G. Lee, R. H. Wagonor, J. K. Lee, K. Chung, H. Y. Kim, 2009, Constitutive Modeling for Anisotropic/Asymmetric Hardening Behavior of Magnesium Alloy Sheets : Application to Sheet Springback, Int. J. Plast., Vol. 25, No. 1 , pp. 70-104. https://doi.org/10.1016/j.ijplas.2007.12.003
  16. MATLAB Version 7.12.0.635 (R2011a) user's manual, www.mathworks.com
  17. I. Ulacia, N. V. Dudamell, F. Galvez, S. Yi, M. T. Perez-Prado, I. Hurtado, 2010, Mechanical Behavior and Microstructural Evolution of a Mg AZ31 Sheet at Dynamic Strain Rates, Acta Mater., Vol. 58, No. 8, pp. 2988-2998. https://doi.org/10.1016/j.actamat.2010.01.029