Constitutive Modeling of the Stacking Fault Energy-Dependent Deformation Behavior of Fe-Mn-C-(Al) TWIP Steels


The present article proposes a constitutive model that includes the stacking fault energy (SFE)-dependence of the deformation behavior of Fe-Mn-C-(Al) TWIP steels. The different kinetics of the SFE-dependent strain hardening of twinned and twin-free grains are accounted for. The high flow stress of TWIP steels investigated is attributed to the combined effect of a large fraction of twinned grains and a low dynamic recovery rate—both effects being associated with its lowest SFE.

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  1. 1.

    B.C. DeCooman, K.G. Chin, J. Kim, High Mn TWIP steels for automotive applications, in: M. Chiaberge (Ed.), New trends and developments in automotive system engineering, InTech, Rijeka, 2011, pp. 101-128.

    Google Scholar 

  2. 2.

    O. Bouaziz, S. Allain, C.P. Scott, P. Cugy, D. Barbier: Curr. Opin. Solid State Mater. Sci., 2011, vol. 15, pp. 141-168.

    CAS  Article  Google Scholar 

  3. 3.

    S. Allain, J.P. Chateau, O. Bouaziz, S. Migot, N. Guelton: Mater. Sci. Eng. A, 2004, vol. 387-389, pp. 158-162.

    Article  Google Scholar 

  4. 4.

    J.E. Jin and Y.K. Lee, Acta Mater., 2012 vol. 60, pp. 1680-1688.

    CAS  Article  Google Scholar 

  5. 5.

    J.-K. Kim and B.C. De Cooman: Mater. Sci. Eng. A, 2016, vol. 676, pp. 216-231.

    CAS  Article  Google Scholar 

  6. 6.

    M. Ghasri-Khouzani and J.R. McDermid: Mater. Sci. Eng. A, 2015, vol. 621, pp. 118-127.

    CAS  Article  Google Scholar 

  7. 7.

    D.T. Pierce, J.A. Jiménez, J. Bentley, D. Raabe, C. Oskay, J.E. Wittig: Acta Mater., 2014, vol. 68, pp. 238-253.

    CAS  Article  Google Scholar 

  8. 8.

    J. Kim, S.-J. Lee, B.C. De Cooman: Scr. Mater., 2011, vol. 65, pp. 363-366.

    CAS  Article  Google Scholar 

  9. 9.

    O. Bouaziz and N. Guelton: Mater. Sci. Eng. A, 2001, vol. 319-321, pp. 246-249.

    Article  Google Scholar 

  10. 10.

    O. Bouaziz, S. Allain, C. Scott: Scr. Mater., 2008, vol. 58, pp. 484-487.

    CAS  Article  Google Scholar 

  11. 11.

    J. Gilsevillano, Scr. Mater., 2009, vol. 60, pp. 336-339.

    Article  Google Scholar 

  12. 12.

    J. Kim, Y. Estrin, H. Beladi, I. Timokhina, K.-G. Chin, S.-K. Kim, B.C. De Cooman: Metall. Mater. Trans. A, 2012, vol. 43, pp. 479-490.

    Article  Google Scholar 

  13. 13.

    J. Kim, Y. Estrin, B.C. De Cooman: Metall. Mater. Trans. A, 2013, vol. 44, pp. 4168-4182.

    Article  Google Scholar 

  14. 14.

    D.R. Steinmetz, T. Jäpel, B. Wietbrock, P. Eisenlohr, I. Gutierrez-Urrutia, A. Saeed–Akbari, T. Hickel, F. Roters, D. Raabe: Acta Mater., 2013, vol. 61, pp. 494-510.

    CAS  Article  Google Scholar 

  15. 15.

    J.-H. Kang, T. Ingendahl, W. Bleck, Mater. Des., 2016, vol. 90, pp. 340-349.

    CAS  Article  Google Scholar 

  16. 16.

    M. Shiekhelsouk, V. Favier, K. Inal, M. Cherkaoui: Inter. J. Plast., 2009, vol. 25, pp. 105-133.

    CAS  Article  Google Scholar 

  17. 17.

    A. Soulami, K.S. Choi, Y.F. Shen, W.N. Liu, X. Sun, M.A. Khaleel: Mater. Sci. Eng. A, 2011, vol, 528, pp. 1402-1408.

    Article  Google Scholar 

  18. 18.

    S. Dancette, L. Delannay, K. Renard, M.A. Melchior, P.J. Jacques: Acta Mater., 2012, vol. 60, pp. 2135-2145.

    CAS  Article  Google Scholar 

  19. 19.

    A.A. Saleh, E.V. Pereloma, A.A. Gazder: Steel Res. Inter., 2014, vol. 85, pp. 1120-1127.

    CAS  Article  Google Scholar 

  20. 20.

    V. Shterner, A. Molotnikov, I. Timokhina, Y. Estrin, H. Beladi: Mater. Sci. Eng. A, 2014, vol. 613, pp. 224-231.

    CAS  Article  Google Scholar 

  21. 21.

    M. Madivala, A. Schwedt, S.L. Wong, F. Roters, U. Prahl, W. Bleck: Inter. J. Plast., 2018, vol. 104, pp. 80-103.

    CAS  Article  Google Scholar 

  22. 22.

    S. Allain, JP Chateau, O Bouaziz: Steel Res., 2002, vol. 73, pp. 299-302.

    CAS  Article  Google Scholar 

  23. 23.

    S. L. Wong, M. Madivala, U. Prahl, F. Roters, D. Raabe: Acta Mater., 2016, vol. 118, pp. 140-151.

    CAS  Article  Google Scholar 

  24. 24.

    C.Y. Sun, N Guo, M.W. Fu, S.W. Wang: Inter. J. Plast., 2016, vol. 76, pp. 186-212.

    CAS  Article  Google Scholar 

  25. 25.

    B.C. De Cooman, Y. Estrin, S.K. Kim: Acta Mater., 2018, vol. 142, pp. 283-362.

    Article  Google Scholar 

  26. 26.

    T.T. Huang, W.J. Dan, W.G. Zhang: Metall. Mater. Trans. A, 2017, vol. 48, pp. 4553-4564.

    Article  Google Scholar 

  27. 27.

    H. Mecking and U. Kocks: Acta Metall., 1981, vol. 29, pp. 1865-1875.

    CAS  Article  Google Scholar 

  28. 28.

    Y. Estrin and L. Kubin: Acta Metall., 1986, vol. 34, pp. 2455-2464.

    Article  Google Scholar 

  29. 29.

    L.P. Kubin and Y. Estrin: Acta Metall. Mater., 1990, vol. 38, pp. 697-708.

    CAS  Article  Google Scholar 

  30. 30.

    A. Saeed-Akbari, J. Imlau, U. Prahl, W. Bleck: Metall. Mater. Trans. A, 2009, vol. 40, pp. 3076-3090.

    CAS  Article  Google Scholar 

  31. 31.

    E. El-danaf, S.R. Kalidindi, R.D. Doherty: Metall. Mater. Trans. A, 1999, vol. 30, pp. 1223-1233.

    CAS  Article  Google Scholar 

  32. 32.

    R.K. Ham: Philos. Mag., 1961, vol. 6, pp. 1183-1184.

    Article  Google Scholar 

  33. 33.

    J.-H. Kang, T. Ingendahl, J. von Appen, R. Dronskowski, W. Bleck: Mater. Sci. Eng. A, 2014, vol. 614, pp. 122-128.

    CAS  Article  Google Scholar 

  34. 34.

    H. Beladi, I.B. Timokhina, Y. Estrin, J. Kim, B.C. De Cooman, S.K. Kim: Acta Mater., 2011, vol. 59, pp. 7787-7799.

    CAS  Article  Google Scholar 

  35. 35.

    H.K. Yang, Z.J. Zhang, Z.F. Zhang, Scr. Mater., 2013, vol. 68, pp. 992-995.

    CAS  Article  Google Scholar 

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The authors acknowledge the support of POSCO. YE would like to thank the Deutsche Forschungsgemeinschaft for funding through a Mercator professorship.

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Correspondence to Jin-Kyung Kim.

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Manuscript submitted May 30, 2018.

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Kim, JK., Estrin, Y. & De Cooman, B.C. Constitutive Modeling of the Stacking Fault Energy-Dependent Deformation Behavior of Fe-Mn-C-(Al) TWIP Steels. Metall Mater Trans A 49, 5919–5924 (2018).

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