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Published in: Journal of Materials Engineering and Performance 5/2017

23-03-2017

Constitutive Modeling of Warm Deformation Flow Curves of an Eutectoid Steel

Authors: H. Rastegari, M. Rakhshkhorshid, M. C. Somani, D. A. Porter

Published in: Journal of Materials Engineering and Performance | Issue 5/2017

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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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Literature
1.
go back to reference M. Rakhshkhorshid, Modeling the Hot Deformation Flow Curves of API, X65 Pipeline Steel, Int. J. Adv. Manuf. Technol., 2015, 77, p 203–210CrossRef M. Rakhshkhorshid, Modeling the Hot Deformation Flow Curves of API, X65 Pipeline Steel, Int. J. Adv. Manuf. Technol., 2015, 77, p 203–210CrossRef
2.
go back to reference 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 130–207CrossRef 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 130–207CrossRef
3.
go back to reference H. Mirzadeh and A. Najafizadeh, Hot Deformation and Dynamic Recrystallization of 17–4 PH Stainless Steel, ISIJ Int., 2013, 53, p 680–689CrossRef H. Mirzadeh and A. Najafizadeh, Hot Deformation and Dynamic Recrystallization of 17–4 PH Stainless Steel, ISIJ Int., 2013, 53, p 680–689CrossRef
4.
go back to reference H. Mirzadeh, Constitutive Analysis of Mg–Al–Zn Magnesium Alloys During Hot Deformation, Mech. Mater., 2014, 77, p 80–85CrossRef H. Mirzadeh, Constitutive Analysis of Mg–Al–Zn Magnesium Alloys During Hot Deformation, Mech. Mater., 2014, 77, p 80–85CrossRef
5.
go back to reference 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 1733–1759CrossRef 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 1733–1759CrossRef
6.
go back to reference H. Mirzadeh, Constitutive Behaviors of Magnesium and Mg–Zn–Zr Alloy During Hot Deformation, Mater. Chem. Phys., 2015, 152, p 123–126CrossRef H. Mirzadeh, Constitutive Behaviors of Magnesium and Mg–Zn–Zr Alloy During Hot Deformation, Mater. Chem. Phys., 2015, 152, p 123–126CrossRef
7.
go back to reference 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 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.
go back to reference C. Sellars and W. McTegart, On the Mechanism of Hot Deformation, Acta Metall., 1966, 14, p 1136–1138CrossRef C. Sellars and W. McTegart, On the Mechanism of Hot Deformation, Acta Metall., 1966, 14, p 1136–1138CrossRef
9.
go back to reference Dynamic Systems Inc., Gleeble@ System Application Note APN002, 2001, p. 1–8 Dynamic Systems Inc., Gleeble@ System Application Note APN002, 2001, p. 1–8
10.
go back to reference 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 136–144CrossRef 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 136–144CrossRef
11.
go back to reference 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 52–61CrossRef 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 52–61CrossRef
12.
go back to reference 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 108–123CrossRef 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 108–123CrossRef
13.
go back to reference M. Shaban and B. Eghbali, Determination of Critical Conditions for Dynamic Recrystallization of a Microalloyed Steel, Mater. Sci. Eng. A, 2010, 527, p 4320–4325CrossRef M. Shaban and B. Eghbali, Determination of Critical Conditions for Dynamic Recrystallization of a Microalloyed Steel, Mater. Sci. Eng. A, 2010, 527, p 4320–4325CrossRef
14.
go back to reference 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 470–477CrossRef 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 470–477CrossRef
15.
go back to reference 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 4027–4037CrossRef 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 4027–4037CrossRef
16.
go back to reference J. Eric, Mittemeijer, Fundamentals of Materials Science: The Microstructure–Property Relationship Using Metals as Model Systems, Springer, Berlin, 2010 J. Eric, Mittemeijer, Fundamentals of Materials Science: The Microstructure–Property Relationship Using Metals as Model Systems, Springer, Berlin, 2010
17.
go back to reference W. Yan, W. Wang, Y. Shan, K. Yang, and W. Sha, 9–12Cr Heat-Resistant Steels, Springer, Zurich, 2015CrossRef W. Yan, W. Wang, Y. Shan, K. Yang, and W. Sha, 9–12Cr Heat-Resistant Steels, Springer, Zurich, 2015CrossRef
18.
go back to reference 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 2233–2244CrossRef 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 2233–2244CrossRef
19.
go back to reference 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 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
20.
go back to reference 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 3876–3882CrossRef 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 3876–3882CrossRef
21.
go back to reference M. Rakhshkhorshid and S.H. Hashemi, Experimental Study of Hot Deformation Behavior in API, X65 Steel, Mater. Sci. Eng. A, 2013, 573, p 37–44CrossRef M. Rakhshkhorshid and S.H. Hashemi, Experimental Study of Hot Deformation Behavior in API, X65 Steel, Mater. Sci. Eng. A, 2013, 573, p 37–44CrossRef
22.
go back to reference H. Mirzadeh, Constitutive Modeling and Prediction of Hot Deformation Flow Stress under Dynamic Recrystallization Conditions, Mech. Mater., 2015, 85, p 66–79CrossRef H. Mirzadeh, Constitutive Modeling and Prediction of Hot Deformation Flow Stress under Dynamic Recrystallization Conditions, Mech. Mater., 2015, 85, p 66–79CrossRef
Metadata
Title
Constitutive Modeling of Warm Deformation Flow Curves of an Eutectoid Steel
Authors
H. Rastegari
M. Rakhshkhorshid
M. C. Somani
D. A. Porter
Publication date
23-03-2017
Publisher
Springer US
Published in
Journal of Materials Engineering and Performance / Issue 5/2017
Print ISSN: 1059-9495
Electronic ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-017-2609-7

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