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A comparative study of constitutive models for flow stress behavior of medium carbon Cr–Ni–Mo alloyed steel at elevated temperature

Published online by Cambridge University Press:  11 September 2017

Yingnan Xia ,
Chi Zhang ,
Liwen Zhang ,
Wenfei Shen  and
Qianhong Xu
Yingnan Xia
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
Chi Zhang
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
Liwen Zhang*
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
Wenfei Shen
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
Qianhong Xu
Affiliation:
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
*
a) Address all correspondence to this author. e-mail: commat@mail.dlut.edu.cn
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Abstract

A series of hot compression tests of medium carbon Cr–Ni–Mo-alloyed steel, 34CrNiMo steel, were conducted on a Gleeble-1500 thermal mechanical simulator, in a wide temperature range of 1173–1423 K and at a strain rate range of 0.002–5 s−1. Three constitutive models, namely the Johnson–Cook (JC) model, strain compensated Arrhenius model, and the physically based constitutive model, were established to describe the hot deformation of 34CrNiMo steel. A comparative study of the three models was investigated by comparing the accuracy of prediction of flow stress behavior. The results imply that the JC model is not able to adequately represent the high-temperature flow behavior with the existance of recovery and recrystallization. The Arrhenius-type model based on mathematics has a good prediction in the flow stress behavior in all strain ranges during the hot deformation. The physically based constitutive model gives a better prediction accuracy of the deformation behavior in both flow stress and deformation mechanism.

Keywords

medium carbon alloyed steelhot compressionflow stressconstitutive equation
Type
Articles
Information
Journal of Materials Research , Volume 32 , Issue 20 , 27 October 2017 , pp. 3875 - 3884
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Copyright
Copyright © Materials Research Society 2017 

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Footnotes

Contributing Editor: Jürgen Eckert

References

REFERENCES

Lin, Y.C., Nong, F-Q., Chen, X-M., Chen, D-D., and Chen, M-S.: Microstructural evolution and constitutive models to predict hot deformation behaviors of a nickel-based superalloy. Vacuum 137, 104 (2017).Google Scholar
Chen, D-D., Lin, Y.C., Zhou, Y., Chen, M-S., and Wen, D-X.: Dislocation substructures evolution and an adaptive-network-based fuzzy inference system model for constitutive behavior of a Ni-based superalloy during hot deformation. J. Alloys Compd. 708, 938 (2017).Google Scholar
Johnson, G.R. and Cook, W.H.: A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In Proceedings 7th International Symposium on Ballistics (International Ballistics Committee, Hague, NL, 1983); p. 541.Google Scholar
Lin, Y-C., Li, Q-F., Xia, Y-C., and Li, L-T.: A phenomenological constitutive model for high temperature flow stress prediction of Al–Cu–Mg alloy. Mater. Sci. Eng., A 534, 654 (2012).Google Scholar
Tan, J-Q., Zhan, M., Liu, S., Huang, T., Guo, J., and Yang, H.: A modified Johnson–Cook model for tensile flow behaviors of 7050-T7451 aluminum alloy at high strain rates. Mater. Sci. Eng., A 631, 214 (2015).CrossRefGoogle Scholar
Zhang, D-N., Shangguan, Q-Q., Xie, C-J., and Liu, F.: A modified Johnson–Cook model of dynamic tensile behaviors for 7075-T6 aluminum alloy. J. Alloys Compd. 619, 186 (2015).Google Scholar
Buzyurkin, A.E., Gladky, I.L., and Kraus, E.I.: Determination and verification of Johnson–Cook model parameters at high-speed deformation of titanium alloys. Aerosp. Sci. Technol. 45, 121 (2015).Google Scholar
Kotkunde, N., Deole, A.D., Gupta, A.K., and Singh, S.K.: Comparative study of constitutive modeling for Ti–6Al–4V alloy at low strain rates and elevated temperatures. Mater. Des. 55, 999 (2014).Google Scholar
Lin, Y-C. and Chen, X-M.: A combined Johnson–Cook and Zerilli–Armstrong model for hot compressed typical high-strength alloy steel. Comput. Mater. Sci. 49, 628 (2010).CrossRefGoogle Scholar
Li, H-Y., Wang, X-F., Duan, J-Y., and Liu, J-J.: A modified Johnson–Cook model for elevated temperature flow behavior of T24 steel. Mater. Sci. Eng., A 577, 138 (2013).Google Scholar
Gambirasio, L. and Rizzi, E.: On the calibration strategies of the Johnson–Cook strength model: Discussion and applications to experimental data. Mater. Sci. Eng., A 610, 370 (2014).Google Scholar
Rokni, M.R., Zarei-Hanzaki, A., Roostaei, A.A., and Abolhasani, A.: Constitutive base analysis of a 7075 aluminum alloy during hot compression testing. Mater. Des. 32, 4955 (2011).Google Scholar
Chen, L., Zhao, G-Q., Yu, J-Q., and Zhang, W-D.: Constitutive analysis of homogenized 7005 aluminum alloy at evaluated temperature for extrusion process. Mater. Des. 66, 129 (2015).Google Scholar
Wang, J., Zhao, G-Q., Chen, L, and Li, J-L.: A comparative study of several constitutive models for powder metallurgy tungsten at elevated temperature. Mater. Des. 90, 91 (2016).Google Scholar
Ren, F-C., Chen, J., and Chen, F.: Constitutive modeling of hot deformation behavior of X20Cr13 martensitic stainless steel with strain effect. Trans. Nonferrous Met. Soc. China 24, 1407 (2014).Google Scholar
Chen, L., Zhao, G-Q., and Yu, J-Q.: Hot deformation behavior and constitutive modeling of homogenized 6026 aluminum alloy. Mater. Des. 74, 25 (2015).Google Scholar
Lin, Y-C., Chen, M-S., and Zhong, J.: Prediction of 42CrMo steel flow stress at high temperature and strain rate. Mech. Res. Commun. 35, 142 (2008).Google Scholar
Ji, G-L., Li, Q., Ding, K-Y., Yang, L., and Li, L.: A physically-based constitutive model for high temperature deformation of Cu–0.36Cr–0.03Zr alloy. J. Alloys Compd. 648, 397 (2015).Google Scholar
Zhang, P., Yi, C., Chen, G., Qin, H-Y., and Wang, C-J.: Constitutive model based on dynamic recrystallization behavior during thermal deformation of a nickel-based superalloy. Metals 6, 161 (2016).Google Scholar
Ji, G-L., Li, Q., and Li, L.: A physical-based constitutive relation to predict flow stress for Cu–0.4Mg alloy during hot working. Mater. Sci. Eng., A 615, 247 (2014).Google Scholar
Shen, W-F., Zhang, L-W., Zhang, C., Xu, Y-F., and Shi, X-H.: Constitutive analysis of dynamic recrystallization and flow behavior of a medium carbon Nb–V microalloyed steel. J. Mater. Eng. Perform. 25, 2065 (2016).Google Scholar
He, A., Xie, G-L., Yang, X-Y., Wang, X-T., and Zhang, H-L.: A physically-based constitutive model for a nitrogen alloyed ultralow carbon stainless steel. Comput. Mater. Sci. 98, 64 (2015).Google Scholar
Samantaray, D., Mandal, S., and Bhaduri, A.K.: A comparative study on Johnson–Cook, modified Zerilli–Armstrong and Arrhenius-type constitutive models to predict elevated temperature flow behaviour in modified 9Cr–1Mo steel. Comput. Mater. Sci. 47, 568 (2009).Google Scholar
Abbasi-Bani, A., Zarei-Hanzaki, A., Pishbin, M.H., and Haghdadi, N.: 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. 71, 52 (2014).Google Scholar
He, A., Xie, G-L., Zhang, H-L., and Wang, X-T.: A comparative study on Johnson–Cook, modified Johnson–Cook and Arrhenius-type constitutive models to predict the high temperature flow stress in 20CrMo alloy steel. Mater. Des. 52, 677 (2013).Google Scholar
Zhang, C., Zhang, L-W., Xu, Q-H., Xia, Y-N., and Shen, W-F.: The kinetics and cellular automaton modeling of dynamic recrystallization behavior of a medium carbon Cr–Ni–Mo alloyed steel in hot working process. Mater. Sci. Eng., A 678, 33 (2016).Google Scholar
Kuduzovic, A., Poletti, M.C., Sommitsch, C., Domankova, M., Mitsche, S., and Kienreich, R.: Investigations into the delayed fracture susceptibility of 34CrNiMo6 steel, and the opportunities for its application in ultra-high-strength bolts and fasteners. Mater. Sci. Eng., A 590, 66 (2014).Google Scholar
Meysami, M. and Mousavi, S.A.A.A.: Study on the behavior of medium carbon vanadium microalloyed steel by hot compression test. Mater. Sci. Eng., A 528(7–8), 3049 (2011).Google Scholar
Lin, Y-C., Chen, M-S., and Zhang, J.: Modeling of flow stress of 42CrMo steel under hot compression. Mater. Sci. Eng., A 499, 88 (2009).Google Scholar
Liu, Y-X., Lin, Y.C., and Zhou, Y.: 2D cellular automaton simulation of hot deformation behavior in a Ni-based superalloy under varying thermal-mechanical conditions. Mater. Sci. Eng., A 691, 88 (2017).Google Scholar
Wen, D-X., Lin, Y.C., and Zhou, Y.: A new dynamic recrystallization kinetics model for a Nb containing Ni–Fe–Cr-base superalloy considering influences of initial phase. Vacuum 141, 316 (2017).Google Scholar
Zener, C. and Hollomon, J.H.: Effect of strain rate upon plastic flow of steel. J. Appl. Phys. 15, 22 (1944).Google Scholar
Sellars, C.M. and McTegart, W.J.: On the mechanism of hot deformation. Acta Metall. 14, 1136 (1966).Google Scholar
Jonas, J.J., Sellars, C.M., and Tegart, W.J.M.: Strength and structure under hot-working conditions. Int. Mater. Rev. 14, 1 (1969).Google Scholar
Mandal, S., Rakesh, V., Sivaprasad, P.V., Venugopal, S., and Kasiviswanathan, K.V.: Constitutive equations to predict high temperature flow stress in a Ti-modified austenitic stainless steel. Mater. Sci. Eng., A 500, 114 (2009).Google Scholar
Mecking, H. and Kocks, U.F.: Kinetics of flow and strain-hardening. Acta Metall. 29, 1865 (1981).Google Scholar
Laasraoui, A. and Jonas, J.J.: Prediction of steel flow stresses at high temperatures and strain rates. Metall. Trans. A 22, 1545 (1991).CrossRefGoogle Scholar
Jorge Junior, A.M. and Balancin, O.: Prediction of steel flow stresses under hot working conditions. Mater. Res. 8, 309 (2005).Google Scholar
Jonas, J.J., Quelennec, X., Jiang, L., and Martin, E.: The Avrami kinetics of dynamic recrystallization. Acta Mater. 57, 2748 (2009).Google Scholar
Zhang, C., Zhang, L-W., Shen, W-F., Liu, C-R., Xia, Y-N., and Li, R-Q.: Study on constitutive modeling and processing maps for hot deformation of medium carbon Cr–Ni–Mo alloyed steel. Mater. Des. 90, 804 (2016).Google Scholar
Lin, Y-C., Li, L-T., Fu, Y-X., and Jiang, Y-Q.: Hot compressive deformation behavior of 7075 Al alloy under elevated temperature. J. Mater. Sci. 47, 1306 (2012).Google Scholar
Lin, Y-C., Li, L-T., and Jiang, Y-Q.: A phenomenological constitutive model for describing thermo-viscoplastic behavior of Al–Zn–Mg–Cu alloy under hot working condition. Exp. Mech. 52, 993 (2012).Google Scholar
Abbasi, S.M. and Shokuhfar, A.: Prediction of hot deformation behaviour of 10Cr–10Ni–5Mo–2Cu steel. Mater. Lett. 61, 2523 (2007).Google Scholar
Ebrahimi, R. and Najafizadeh, A.: A new method for evaluation of friction in bulk metal forming. J. Mater. Process. Technol. 152, 136 (2004).Google Scholar