Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-23T00:41:27.590Z Has data issue: false hasContentIssue false

A unified physically based constitutive model for describing strain hardening effect and dynamic recovery behavior of a Ni-based superalloy

Published online by Cambridge University Press:  21 December 2015

Y.C. Lin*
Affiliation:
School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, Hunan Province, China; Light Alloy Research Institute of Central South University, Changsha 410083, Hunan Province, China; and State Key Laboratory of High Performance Complex Manufacturing, Changsha 410083, Hunan Province, China
Dong-Xu Wen
Affiliation:
School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, Hunan Province, China; and State Key Laboratory of High Performance Complex Manufacturing, Changsha 410083, Hunan Province, China
Yuan-Chun Huang
Affiliation:
School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, Hunan Province, China; Light Alloy Research Institute of Central South University, Changsha 410083, Hunan Province, China; and State Key Laboratory of High Performance Complex Manufacturing, Changsha 410083, Hunan Province, China
Xiao-Min Chen*
Affiliation:
School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, Hunan Province, China; and State Key Laboratory of High Performance Complex Manufacturing, Changsha 410083, Hunan Province, China
Xue-Wen Chen*
Affiliation:
School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, Henan Province, China
*
a) Address all correspondence to this author. e-mail: yclin@csu.edu.cn or linyongcheng@163.com
Get access

Abstract

The strain hardening effect and dynamic recovery behavior of a Ni-based superalloy are studied by isothermal compressive tests. A new unified dislocation-density based constitutive model is developed to characterize the strain hardening effect and dynamic recovery behavior of the studied superalloy. In the developed constitutive model, some material parameters (yield stress, strain hardening coefficient, and dynamic recovery coefficient) are assumed as functions of initial grain size, deformation temperature, and strain rate. An iterative algorithm is designed to predict the high-temperature deformation behaviors under time-variant hot working conditions. The hot deformation parameters and material parameters can be updated in each strain increment. Comparisons between the experimental and calculated flow stresses indicate that the developed constitutive model can accurately describe the high-temperature deformation behavior of the studied superalloy. Furthermore, the developed constitutive model is also successfully used for analyzing time-variant hot working processes.

Type
Articles
Copyright
Copyright © Materials Research Society 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Contributing Editor: Jürgen Eckert

References

REFERENCES

Lin, Y.C. and Chen, X.M.: A critical review of experimental results and constitutive descriptions for metals and alloys in hot working. Mater. Des. 32, 1733 (2011).Google Scholar
Chen, F., Cui, Z.S., and Chen, S.: Recrystallization of 30Cr2Ni4MoV ultra-super-critical rotor steel during hot deformation. Part I: Dynamic recrystallization. Mater. Sci. Eng., A 528, 5073 (2011).CrossRefGoogle Scholar
Smirnov, A.S., Konovalov, A.V., Pushin, V.G., Uksusnikov, A.N., Zvonkov, A.A., and Zajcev, I.M.: Peculiarities of the rheological behavior for the Al-Mg-Sc-Zr alloy under high-temperature deformation. J. Mater. Eng. Perform. 23, 4271 (2014).CrossRefGoogle Scholar
Momeni, A., Ebrahimi, G.R., and Faridi, H.R.: Effect of chemical composition and processing variables on the hot flow behavior of leaded brass alloys. Mater. Sci. Eng., A 626, 1 (2015).Google Scholar
Quan, G.Z., Mao, Y.P., Li, G.S., Lv, W.Q., Wang, Y., and Zhou, J.: A characterization for the dynamic recrystallization kinetics of as-extruded 7075 aluminum alloy based on true stress–strain curves. Comput. Mater. Sci. 55, 65 (2012).Google Scholar
Serajzadeh, S., Ranjbar Motlagh, S., Mirbagheri, S.M.H., and Akhgar, J.M.: Deformation behavior of AA2017-SiCp in warm and hot deformation regions. Mater. Des. 67, 318 (2015).Google Scholar
Lin, Y.C., Chen, M.S., and Zhong, J.: Constitutive modeling for elevated temperature flow behavior of 42CrMo steel. Comput. Mater. Sci. 42, 470 (2008).CrossRefGoogle Scholar
Wang, W.T., Guo, X.Z., Huang, B., Tao, J., Li, H.G., and Pei, W.J.: The flow behaviors of CLAM steel at high temperature. Mater. Sci. Eng., A 599, 134 (2014).CrossRefGoogle Scholar
Mirzaei, A., Zarei-Hanzaki, A., Haghdadi, N., and Marandi, A.: Constitutive description of high temperature flow behavior of Sanicro-28 super-austenitic stainless steel. Mater. Sci. Eng., A 589, 76 (2014).Google Scholar
Churyumov, A.Y., Khomutov, M.G., Solonin, A.N., Pozdniakov, A.V., Churyumova, T.A., and Minyaylo, B.F.: Hot deformation behaviour and fracture of 10CrMoWNb ferritic–martensitic steel. Mater. Des. 74, 44 (2015).Google Scholar
Chen, L., Zhao, G.Q., and Yu, J.Q.: Hot deformation behavior and constitutive modeling of homogenized 6026 aluminum alloy. Mater. Des. 75, 57 (2015).Google Scholar
Zhang, C.S., Ding, J., Dong, Y.Y., Zhao, G.Q., Gao, A.J., and Wang, L.J.: Identification of friction coefficients and strain-compensated Arrhenius-type constitutive model by a two-stage inverse analysis technique. Int. J. Mech. Sci. 98, 195 (2015).Google Scholar
Lin, Y.C., Xia, Y.C., Chen, X.M., and Chen, M.S.: Constitutive descriptions for hot compressed 2124-T851 aluminum alloy over a wide range of temperature and strain rate. Comput. Mater. Sci. 50, 227 (2010).Google Scholar
Tali, M.Z., Mazinani, M., Ferdowsi, M.R.G., Ebrahimi, G.R., and Marvi-Mashhadi, M.: Strain-dependent constitutive modelling of AZ80 magnesium alloy containing 0.5 wt% rare earth elements and evaluation of its validation using finite element method. Met. Mater. Int. 20, 1073 (2014).Google Scholar
Liao, C.H., Wu, H.Y., Wu, C.T., Zhu, F.J., and Lee, S.: Hot deformation behavior and flow stress modeling of annealed AZ61 Mg alloys. Prog. Nat. Sci.: Mater. Int. 24, 253 (2014).Google Scholar
Pilehva, F., Zarei-Hanzaki, A., Fatemi-Varzaneh, S.M., and Khalesian, A.R.: Hot deformation and dynamic recrystallization of Ti-6Al-7Nb biomedical alloy in single-phase β region. J. Mater. Eng. Perform. 24, 1799 (2015).CrossRefGoogle Scholar
Shukla, A.K., Narayana Murty, S.V.S., Sharma, S.C., and Mondal, K.: Constitutive modeling of hot deformation behavior of vacuum hot pressed Cu–8Cr–4Nb alloy. Mater. Des. 75, 57 (2015).Google Scholar
Mirzadeh, H.: Quantification of the strengthening effect of reinforcements during hot deformation of aluminum-based composites. Mater. Des. 65, 80 (2015).CrossRefGoogle Scholar
Mirzadeh, H.: Constitutive analysis of Mg-Al-Zn magnesium alloys during hot deformation. Mech. Mater. 77, 80 (2015).CrossRefGoogle Scholar
Mirzadeh, H.: A Simplified approach for developing constitutive equations for modeling and prediction of hot deformation flow stress. Metall. Mater. Trans. A 46, 4027 (2015).Google Scholar
Salari, S., Naderi, M., and Bleck, W.: Constitutive modeling during simultaneous forming and quenching of a boron bearing steel at high temperatures. J. Mater. Eng. Perform. 24, 808 (2015).Google Scholar
Lin, Y.C., Chen, X.M., and Liu, G.: A modified Johnson–Cook model for tensile behaviors of typical high-strength alloy steel. Mater. Sci. Eng., A 527, 6980 (2010).CrossRefGoogle 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
Akbari, Z., Mirzadeh, H., and Cabrera, J.M.: A simple constitutive model for predicting flow stress of medium carbon microalloyed steel during hot deformation. Mater. Des. 77, 126 (2015).Google Scholar
Cai, J., Wang, K.S., Zhai, P., Li, F.G., and Yang, J.: A modified Johnson-Cook constitutive equation to predict hot deformation behavior of Ti-6Al-4V alloy. J. Mater. Eng. Perform. 24, 32 (2015).CrossRefGoogle 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
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
Kocks, U.F. and Mecking, H.: Physics and phenomenology of strain hardening: The FCC case. Prog. Mater. Sci. 48, 171 (2003).CrossRefGoogle Scholar
Liang, H.Q., Nan, Y., Ning, Y.Q., Li, H., Zhang, J.L., Shi, Z.F., and Guo, H.Z.: Correlation between strain-rate sensitivity and dynamic softening behavior during hot processing. J. Alloys Compd. 632, 478 (2015).Google Scholar
Ning, Y.Q., Luo, X., Liang, H.Q., Guo, H.Z., Zhang, J.L., and Tan, K.: Competition between dynamic recovery and recrystallization during hot deformation for TC18 titanium alloy. Mater. Sci. Eng., A 635, 77 (2015).CrossRefGoogle Scholar
Lin, Y.C., Chen, X.M., Wen, D.X., and Chen, M.S.: A physically-based constitutive model for a typical nickel-based superalloy. Comput. Mater. Sci. 83, 282 (2014).CrossRefGoogle Scholar
Dong, D.Q., Chen, F., and Cui, Z.S.: A physically-based constitutive model for SA508-III steel: Modeling and experimental verification. Mater. Sci. Eng., A 634, 103 (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
Wang, L., Liu, F., Zuo, Q., and Chen, C.F.: Prediction of flow stress for N08028 alloy under hot working conditions. Mater. Des. 47, 737 (2014).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
Lin, Y.C., Li, K.K., Li, H.B., Chen, J., Chen, X.M., and Wen, D.X.: New constitutive model for high-temperature deformation behavior of inconel 718 superalloy. Mater. Des. 74, 108 (2015).Google Scholar
Lin, Y.C., Wen, D.X., Deng, J., Liu, G., and Chen, J.: Constitutive models for high-temperature flow behaviors of a Ni-based superalloy. Mater. Des. 59, 115 (2014).CrossRefGoogle Scholar
Zuo, Q., Liu, F., Wang, L., Chen, C.F., and Zhang, Z.H.: Prediction of hot deformation behavior in Ni-based alloy considering the effect of initial microstructure. Prog. Nat. Sci.: Mater. Int. 25, 66 (2015).Google Scholar
Satheesh Kumar, S.S., Raghu, T., Bhattacharjee, P.P., Appa Rao, G., and Borah, U.: Constitutive modeling for predicting peak stress characteristics during hot deformation of hot isostatically processed nickel-base superalloy. J. Mater. Sci. 50, 6444 (2015).Google Scholar
Wen, D.X., Lin, Y.C., Li, H.B., Chen, X.M., Deng, J., and Li, L.T.: Hot deformation behavior and processing map of a typical Ni-based superalloy. Mater. Sci. Eng., A 591, 183 (2014).Google Scholar
Zhang, C., Zhang, L.W., Li, M.F., Shen, W.F., and Gu, S.D.: Effects of microstructure and γ′ distribution on the hot deformation behavior for a powder metallurgy superalloy FGH96. J. Mater. Res. 29, 2799 (2014).Google Scholar
Zhang, P., Hu, C., Ding, C.G., Zhu, Q., and Qin, H.Y.: Plastic deformation behavior and processing maps of a Ni-based superalloy. Mater. Des. 65, 575 (2015).Google Scholar
Liu, Y.H., Ning, Y.Q., Nan, Y., Liang, H.Q., Li, Y., and Zhao, Z.L.: Characterization of hot deformation behavior and processing map of FGH4096–GH4133B dual alloys. J. Alloys Compd. 633, 505 (2015).CrossRefGoogle Scholar
Lin, Y.C., Wu, X.Y., Chen, X.M., Chen, J., Wen, D.X., Zhang, J.L., and Li, L.T.: EBSD study of a hot deformed nickel-based superalloy. J. Alloys Compd. 640, 101 (2015).Google Scholar
Liu, Y.X., Lin, Y.C., Li, H.B., Wen, D.X., Chen, X.M., and Chen, M.S.: Study of dynamic recrystallization in a Ni-based superalloy by experiments and cellular automaton model. Mater. Sci. Eng., A 626, 432 (2015).Google Scholar
Zhang, H.B., Zhang, K.F., Jiang, S.S., and Lu, Z.: The dynamic recrystallization evolution and kinetics of Ni–18.3Cr–6.4Co–5.9W–4Mo–2.19Al–1.16Ti superalloy during hot deformation. J. Mater. Res. 30, 1029 (2015).Google Scholar
Liang, H.Q., Guo, H.Z., Tan, K., Ning, Y.Q., Luo, X., Cao, G., Wang, J.J., and Zhen, P.L.: Correlation between grain size and flow stress during steady-state dynamic recrystallization. Mater. Sci. Eng., A 638, 357 (2015).CrossRefGoogle Scholar
Ning, Y.Q., Xie, B.C., Li, H., and Fu, M.W.: Dynamic recrystallization of wrought–solidified–wrought complex structure in Ni-based superalloys. Adv. Eng. Mater. 17, 648 (2015).CrossRefGoogle Scholar
Chen, X.M., Lin, Y.C., Chen, M.S., Li, H.B., Wen, D.X., Zhang, J.L., and He, M.: Microstructural evolution of a nickel-based superalloy during hot deformation. Mater. Des. 77, 41 (2015).Google Scholar
Lin, Y.C., Deng, J., Jiang, Y.Q., Wen, D.X., and Liu, G.: Hot tensile deformation behaviors and fracture characteristics of a typical Ni-based superalloy. Mater. Des. 55, 949 (2014).Google Scholar
Huang, L.J., Qi, F., Yu, L.X., Xin, X., Liu, F., Sun, W.R., and Hu, Z.Q.: Necking behavior and microstructural evolution during high strain rate superplastic deformation of IN718 superalloy. Mater. Sci. Eng., A 634, 71 (2015).Google Scholar
Lin, Y.C., Deng, J., Jiang, Y.Q., Wen, D.X., and Liu, G.: Effects of initial δ phase on hot tensile deformation behaviors and fracture characteristics of a typical Ni-based superalloy. Mater. Sci. Eng., A 598, 251 (2014).Google Scholar
Wen, D.X., Lin, Y.C., Chen, J., Chen, X.M., Zhang, J.L., Liang, Y.J., and Li, L.T.: Work-hardening behaviors of typical solution-treated and aged Ni-based superalloys during hot deformation. J. Alloys Compd. 617, 372 (2015).Google Scholar
Wen, D.X., Lin, Y.C., Chen, J., Deng, J., Chen, X.M., Zhang, J.L., and He, M.: Effects of initial aging time on processing map and microstructures of a nickel-based superalloy. Mater. Sci. Eng., A 620, 319 (2015).CrossRefGoogle Scholar
He, D.G., Lin, Y.C., Chen, M.S., Chen, J., Wen, D.X., and Chen, X.M.: Effect of pre-treatment on hot deformation behavior and processing map of an aged nickel-based superalloy. J. Alloys Compd. 649, 1075 (2015).Google Scholar
Lin, Y.C., He, M., Zhou, M., Wen, D.X., and Chen, J.: New constitutive model for hot deformation behaviors of Ni-based superalloy considering the effects of initial δ phase. J. Mater. Eng. Perform. 24, 3527 (2015).Google Scholar
Momeni, A., Kazemi, S., Ebrahimi, G., and Maldar, A.: Dynamic recrystallization and precipitation in high manganese austenitic stainless steel during hot compression. Int. J. Miner., Metall. Mater. 21, 36 (2014).Google Scholar
Mirzadeh, H. and Najafizadeh, A.: Hot deformation and dynamic recrystallization of 17-4 PH stainless steel. ISIJ Int. 53, 680 (2013).Google Scholar
Zhang, H.B., Zhang, K.F., Zhou, H.P., Lu, Z., Zhao, C.H., and Yang, X.L.: Effect of strain rate on microstructure evolution of a nickel-based superalloy during hot deformation. Mater. Des. 80, 51 (2015).Google Scholar
Quan, G.Z., Wang, Y., Liu, Y.Y., and Zhou, J.: Effect of temperatures and strain rates on the average size of grains refined by dynamic recrystallization for as-extruded 42CrMo steel. Mater. Res. 16, 1092 (2013).Google Scholar
Chen, M.S., Lin, Y.C., and Ma, X.S.: The kinetics of dynamic recrystallization of 42CrMo steel. Mater. Sci. Eng., A 556, 260 (2012).Google Scholar
Mecking, H., Kocks, U.F., and Hartig, C.: Taylor factors in materials with many deformation modes. Scr. Mater. 35, 465 (1996).Google Scholar
Lindgren, L., Domkin, K., and Hansson, S.: Dislocations, vacancies and solute diffusion in physical based plasticity model for AISI 316L. Mech. Mater. 40, 907 (2008).Google Scholar
Fukuhara, M. and Sanpei, A.: Elastic moduli and internal frictions of Inconel 718 and Ti-6Al-4V as a function of temperature. J. Mater. Sci. Lett. 12, 1122 (1993).Google Scholar
Fisk, M., Ion, J.C., and Lindgren, L.E.: Flow stress model for IN718 accounting for evolution of strengthening precipitates during thermal treatment. Comput. Mater. Sci. 82, 531 (2014).Google Scholar