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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

  • Yingnan Xia (a1), Chi Zhang (a1), Liwen Zhang (a1), Wenfei Shen (a1) and Qianhong Xu (a1)...
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.

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a) Address all correspondence to this author. e-mail: commat@mail.dlut.edu.cn
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Contributing Editor: Jürgen Eckert

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1. 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).
2. 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).
3. 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.
4. 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).
5. 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).
6. 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).
7. 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).
8. 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).
9. 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).
10. 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).
11. 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).
12. 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).
13. 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).
14. 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).
15. 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).
16. 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).
17. 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).
18. 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).
19. 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).
20. 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).
21. 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).
22. 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).
23. 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).
24. 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).
25. 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).
26. 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).
27. 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).
28. 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).
29. 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).
30. 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).
31. 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).
32. Zener, C. and Hollomon, J.H.: Effect of strain rate upon plastic flow of steel. J. Appl. Phys. 15, 22 (1944).
33. Sellars, C.M. and McTegart, W.J.: On the mechanism of hot deformation. Acta Metall. 14, 1136 (1966).
34. Jonas, J.J., Sellars, C.M., and Tegart, W.J.M.: Strength and structure under hot-working conditions. Int. Mater. Rev. 14, 1 (1969).
35. 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).
36. Mecking, H. and Kocks, U.F.: Kinetics of flow and strain-hardening. Acta Metall. 29, 1865 (1981).
37. Laasraoui, A. and Jonas, J.J.: Prediction of steel flow stresses at high temperatures and strain rates. Metall. Trans. A 22, 1545 (1991).
38. Jorge Junior, A.M. and Balancin, O.: Prediction of steel flow stresses under hot working conditions. Mater. Res. 8, 309 (2005).
39. Jonas, J.J., Quelennec, X., Jiang, L., and Martin, E.: The Avrami kinetics of dynamic recrystallization. Acta Mater. 57, 2748 (2009).
40. 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).
41. 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).
42. 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).
43. Abbasi, S.M. and Shokuhfar, A.: Prediction of hot deformation behaviour of 10Cr–10Ni–5Mo–2Cu steel. Mater. Lett. 61, 2523 (2007).
44. Ebrahimi, R. and Najafizadeh, A.: A new method for evaluation of friction in bulk metal forming. J. Mater. Process. Technol. 152, 136 (2004).
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Journal of Materials Research
  • ISSN: 0884-2914
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