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Failure Analysis of Warm Stamping of Magnesium Alloy Sheet Based on an Anisotropic Damage Model

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Abstract

Based on the frame work of continuum damage mechanics, a research work of anisotropic damage evolution in warm stamping process of magnesium alloy sheets has been carried out by means of a combined experimental-numerical method. The aim was to predict formability of warm stamping of AZ31 Mg alloy sheets by taking the thermal and damage effects into account. In the presented work, a temperature-dependent anisotropic yield function suitable for cold rolling sheet metals together with an anisotropic damage model was implemented into the a VUMAT subroutine for ABAQUS/EXPLICIT. The evolution of internal damage in the form of void growth and coalescence in AZ31 Mg alloy sheet was observed by means of scanning electron microscopy (SEM). Moreover, a coupled thermo-mechanical simulation of the stamping process was performed using the implemented code at different temperatures. The parameters employed in the simulation were determined by the standard tensile tests and algebraic manipulation. The overall anisotropic damage process from crack initiation to final propagation in local area of blank was simulated. Numerical results show that the prediction of the site of crack initiation and the orientation of crack propagation are consistent with the data observed in warm stamping experiments.

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References

  1. N. Xu, J. Shen, and W. Xi, Abnormal Distribution of Microhardness in Tungsten Inert Gas Arc Butt-Welded AZ61 Magnesium Alloy Plates, Mater. Charact., 2010, 61(7), p 713–719

    Article  Google Scholar 

  2. C.J. Neil and S.R. Agnew, Crystal Plasticity-Based Forming Limit Prediction for Non-cubic Metals: Application to Mg Alloy AZ31B, Int. J. Plast., 2009, 25(3), p 379–398

    Article  Google Scholar 

  3. K. Iwanaga, H. Tashiro, and H. Okamoto, Improvement of Formability from Room Temperature to Warm Temperature in AZ-31 Magnesium Alloy, J. Mater. Process. Technol., 2004, 155–156, p 1313–1316

    Article  Google Scholar 

  4. Q. Zhang, H. Guo, and F. Xiao, Influence of Anisotropy of the Magnesium Alloy AZ31 Sheets on Warm Negative Incremental Forming, J. Mater. Process. Technol., 2009, 209(15–16), p 5514–5520

    Article  Google Scholar 

  5. R. Hill, A Theory of the Yielding and Plastic Flow of Anisotropic Metals, Proc. R. Soc. A, 1948, 193, p 281–297

    Article  Google Scholar 

  6. W.F. Hosford, Incorporating Work Hardening in Yield Loci Calculations, Streng. Met. All., 1979, 1, p 775–780.

  7. F. Barlat and J. Lian, Plastic Behavior and Stretchability of Sheet Metals, Part I—A Yield Function for Orthotropic Sheet Under Plane Stress Conditions, Int. J. Plast., 1989, 5(1), p 51–60

    Article  Google Scholar 

  8. F. Barlat, D.J. Lege, and J.C. Brem, A Six-Component Yield Function for Anisotropic Materials, Int. J. Plast., 1991, 7(7), p 693–712

    Article  Google Scholar 

  9. F. Barlat, Y. Maeda, and K. Chung, Yield Function Development for Aluminum Alloy Sheet, Mech. Phys. Sol., 1997, 45(11–12), p 1727–1763

    Article  Google Scholar 

  10. F. Barlat, J.C. Brem, and J.W. Yoon, Plane Stress Yield Function for Aluminum Alloy Sheets—Part 1: Theory, Int. J. Plast., 2003, 19(9), p 1297–1319

    Article  Google Scholar 

  11. A.L. Gurson, “Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth, and interaction,” Ph. D. thesis, Brown University, 1975

  12. C.L. Chow and J. Wang, An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture, Eng. Fract. Mech., 1987, 27(5), p 547–558

    Article  Google Scholar 

  13. M. Brünig, Numerical Analysis of Anisotropic Ductile Continuum Damage, Comput. Methods App. Mech. Eng., 2003, 192(26–27), p 2949–2976

    Article  Google Scholar 

  14. C.L. Chow and M. Jie, Forming Limits of AL 6022 Sheets with Material Damage Consideration—Theory and Experimental Validation, Int. J. Mech. Sci., 2004, 46(1), p 99–122

    Article  Google Scholar 

  15. J. Lemaitre, R. Desmorat, and M. Sauzay, Anisotropic Damage Law of Evolution, Eur. J. Mech. A, 2000, 19(2), p 187–208

    Article  Google Scholar 

  16. F. Barlat, J.W. Yoon, and O. Cazacu, On Linear Transformations of Stress Tensors for the Description of Plastic Anisotropy, Int. J. Plast., 2007, 23(5), p 876–896

    Article  Google Scholar 

  17. F.K. Chen, T.B. Huang, and C.K. Chang, Deep Drawing of Square Cups with Magnesium Alloy AZ31 Sheets, Int. J. Mach. Tools Manuf., 2003, 43(15), p 1553–1559

    Article  Google Scholar 

  18. H. Hao, D.M. Maijer, and M.A. Wells, Development and Validation of a Thermal Model of the Direct Chill Casting of AZ31 Magnesium Billets, Metall. Mater. Trans. A, 2004, 35A, p 3843–3854

    Article  Google Scholar 

  19. H. Yang, L. Huang, and M. Zhan, Coupled Thermo-mechanical FE Simulation of the Hot Splitting Spinning Process of Magnesium Alloy AZ31, Comput. Mater. Sci., 2010, 47(3), p 857–866

    Article  Google Scholar 

  20. K.F. Zhang, D.L. Yin, and D.Z. Wu, Formability of AZ31 Magnesium Alloy Sheets at Warm Working Conditions, Int. J. Mach. Tools Manuf., 2006, 46(1), p 1276–1280

    Article  Google Scholar 

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Acknowledgments

The present research was supported by the National Natural Science Foundation of China (No. 51222106).

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Correspondence to P. J. Zhao.

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Zhao, P.J., Chen, Z.H. & Dong, C.F. Failure Analysis of Warm Stamping of Magnesium Alloy Sheet Based on an Anisotropic Damage Model. J. of Materi Eng and Perform 23, 4032–4041 (2014). https://doi.org/10.1007/s11665-014-1214-2

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  • DOI: https://doi.org/10.1007/s11665-014-1214-2

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