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Constitutive Modeling of Warm Deformation Flow Curves of an Eutectoid Steel

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Abstract

The capabilities of the commonly encountered Johnson-Cook and Arrhenius-type constitutive equations to describe the warm deformation flow curves of an eutectoid steel undergoing dynamic spheroidization have been compared based on the warm compression test data. Warm compression tests were conducted over the temperature range 620-770 °C and strain rates in the range of 0.01-10 s−1. The average absolute relative error values for the Johnson-Cook and Arrhenius-type constitutive equations were 44.03 and 6.50%, respectively, thereby showing that the Arrhenius-type constitutive equation is to be preferred. It is also shown that in contrast to the Arrhenius-type constitutive equation, the softening caused by dynamic spheroidization cannot be modeled using the Johnson-Cook equation.

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References

  1. M. Rakhshkhorshid, Modeling the Hot Deformation Flow Curves of API, X65 Pipeline Steel, Int. J. Adv. Manuf. Technol., 2015, 77, p 203–210

    Article  Google Scholar 

  2. T. Sakai, A. Belyakov, R. Kaibyshev, H. Miura, and J.J. Jonas, Dynamic and Post-dynamic Recrystallization Under Hot, Cold and Severe Plastic Deformation Conditions, Prog. Mater. Sci., 2014, 60, p 130–207

    Article  Google Scholar 

  3. H. Mirzadeh and A. Najafizadeh, Hot Deformation and Dynamic Recrystallization of 17–4 PH Stainless Steel, ISIJ Int., 2013, 53, p 680–689

    Article  Google Scholar 

  4. H. Mirzadeh, Constitutive Analysis of Mg–Al–Zn Magnesium Alloys During Hot Deformation, Mech. Mater., 2014, 77, p 80–85

    Article  Google Scholar 

  5. Y.C. Lin and X.M. Chen, A Critical Review Of Experimental Results and Constitutive Descriptions for Metals and Alloys in Hot Working, Mater. Des., 2011, 32, p 1733–1759

    Article  Google Scholar 

  6. H. Mirzadeh, Constitutive Behaviors of Magnesium and Mg–Zn–Zr Alloy During Hot Deformation, Mater. Chem. Phys., 2015, 152, p 123–126

    Article  Google Scholar 

  7. G.R. Johnson, and W.H. Cook, A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures, Proceedings of the Seventh International Symposium on Ballistics, 1983, International Ballistics Committee, The Hague, The Netherlands, p. 541–547

  8. C. Sellars and W. McTegart, On the Mechanism of Hot Deformation, Acta Metall., 1966, 14, p 1136–1138

    Article  Google Scholar 

  9. Dynamic Systems Inc., Gleeble@ System Application Note APN002, 2001, p. 1–8

  10. H. Rastegari, A. Kermanpur, A. Najafizadeh, D. Porter, and M. Somani, Warm Deformation Processing Maps for the Plain Eutectoid Steels, J. Alloy. Compd., 2015, 626, p 136–144

    Article  Google Scholar 

  11. A. Abbasi-Bani, A. Zarei-Hanzaki, M.H. Pishbin, and N. Haghdadi, A Comparative Study on the Capability of Johnson–Cook and Arrhenius-Type Constitutive Equations to Describe the Flow Behavior of Mg–6Al–1Zn Alloy, Mech. Mater., 2014, 71, p 52–61

    Article  Google Scholar 

  12. H. Mirzadeh, J.M. Cabrera, J.M. Prado, and A. Najafizadeh, Modeling and Prediction of Hot Deformation Flow Curves, Metall. Mater. Trans. A, 2012, 43, p 108–123

    Article  Google Scholar 

  13. M. Shaban and B. Eghbali, Determination of Critical Conditions for Dynamic Recrystallization of a Microalloyed Steel, Mater. Sci. Eng. A, 2010, 527, p 4320–4325

    Article  Google Scholar 

  14. Y.C. Lin, M.S. Chen, and J. Zhang, Constitutive Modeling for Elevated Temperature Flow Behavior of 42CrMo Steel, Comput. Mater. Sci., 2008, 424, p 470–477

    Article  Google Scholar 

  15. H. Mirzadeh, A Simplified Approach for Developing Constitutive Equations for Modeling and Prediction of Hot Deformation Flow Stress, Metall. Mater. Trans. A, 2015, 46, p 4027–4037

    Article  Google Scholar 

  16. J. Eric, Mittemeijer, Fundamentals of Materials Science: The Microstructure–Property Relationship Using Metals as Model Systems, Springer, Berlin, 2010

    Google Scholar 

  17. W. Yan, W. Wang, Y. Shan, K. Yang, and W. Sha, 9–12Cr Heat-Resistant Steels, Springer, Zurich, 2015

    Book  Google Scholar 

  18. M. Cabrera, A. Al Omar, J.M. Prado, and J.J. Jonas, Modeling the Flow Behavior of a Medium Carbon Microalloyed Steel Under Hot Working Conditions, Metall. Mater. Trans. A, 1997, 28, p 2233–2244

    Article  Google Scholar 

  19. W. Tao, M. Wang, Y. Gao, X. Li, Y. Zhao, and Z. Qin, Effects of Plastic Warm Deformation on Cementite Spheroidization of a Eutectoid Steel, J. Iron. Steel Res. Int., 2012, 19, p 60

    Google Scholar 

  20. H. Mirzadeh, J.M. Cabrera, J.M. Prado, A. Najafizadeh, H. Mirzadeh, J.M. Cabrera, J.M. Prado, and A. Najafizadeh, Hot Deformation Behavior of a medium carbon microalloyed steel, Mater. Sci. Eng. A, 2011, 528, p 3876–3882

    Article  Google Scholar 

  21. M. Rakhshkhorshid and S.H. Hashemi, Experimental Study of Hot Deformation Behavior in API, X65 Steel, Mater. Sci. Eng. A, 2013, 573, p 37–44

    Article  Google Scholar 

  22. H. Mirzadeh, Constitutive Modeling and Prediction of Hot Deformation Flow Stress under Dynamic Recrystallization Conditions, Mech. Mater., 2015, 85, p 66–79

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical and Materials Engineering, Birjand University of Technology, P.O. Box 97198-66981, Birjand, South Khorasan, Iran

    H. Rastegari & M. Rakhshkhorshid

  2. Centre for Advanced Steels Research, University of Oulu, P.O. Box 4200, 90014, Oulu, Finland

    M. C. Somani & D. A. Porter

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  1. H. Rastegari
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  2. M. Rakhshkhorshid
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  3. M. C. Somani
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  4. D. A. Porter
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Correspondence to H. Rastegari.

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Rastegari, H., Rakhshkhorshid, M., Somani, M.C. et al. Constitutive Modeling of Warm Deformation Flow Curves of an Eutectoid Steel. J. of Materi Eng and Perform 26, 2170–2178 (2017). https://doi.org/10.1007/s11665-017-2609-7

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  • DOI: https://doi.org/10.1007/s11665-017-2609-7

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