Advertisement

Applied Physics A

, 122:854 | Cite as

The nonlinear unloading behavior of a typical Ni-based superalloy during hot deformation: a unified elasto-viscoplastic constitutive model

  • Ming-Song Chen
  • Y. C. LinEmail author
  • Kuo-Kuo Li
  • Jian Chen
Article

Abstract

In authors’ previous work (Chen et al. in Appl Phys A. doi: 10.1007/s00339-016-0371-6, 2016), the nonlinear unloading behavior of a typical Ni-based superalloy was investigated by hot compressive experiments with intermediate unloading–reloading cycles. The characters of unloading curves were discussed in detail, and a new elasto-viscoplastic constitutive model was proposed to describe the nonlinear unloading behavior of the studied Ni-based superalloy. Still, the functional relationships between the deformation temperature, strain rate, pre-strain and the parameters of the proposed constitutive model need to be established. In this study, the effects of deformation temperature, strain rate and pre-strain on the parameters of the new constitutive model proposed in authors’ previous work (Chen et al. 2016) are analyzed, and a unified elasto-viscoplastic constitutive model is proposed to predict the unloading behavior at arbitrary deformation temperature, strain rate and pre-strain.

Keywords

Constitutive Model Deformation Temperature Strain Rate Range Material Coefficient Linear Interpolation Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported by National Natural Science Foundation of China (No. 51305466, 51375502), National Key Basic Research Program (Grant No. 2013CB035801), State Key Laboratory of High Performance Complex Manufacturing (No. zzyjkt2014-01), the Project of Innovation-driven Plan in Central South University (No. 2016CX008), the Natural Science Foundation for Distinguished Young Scholars of Hunan Province (Grant No. 2016JJ1017), and Program of Chang Jiang Scholars of Ministry of Education (No. Q2015140), and Key Laboratory of Efficient & Clean Energy Utilization, College of Hunan Province (No. 2015NGQ001), China.

References

  1. 1.
    M.S. Chen, Y.C. Lin, K.K. Li, J. Chen, The nonlinear unloading behavior of a typical Ni-based superalloy during hot deformation: a new elasto-viscoplastic constitutive model. Appl. Phys. A (2016). doi: 10.1007/s00339-016-0371-6 Google Scholar
  2. 2.
    F. Dunne, N. Petrinic, Introduction to Computational Plasticity (Oxford University Press, Oxford, 2005)zbMATHGoogle Scholar
  3. 3.
    Y.C. Lin, X.M. Chen, A critical review of experimental results and constitutive descriptions for metals and alloys in hot working. Mater. Des. 32, 1733–1759 (2011)CrossRefGoogle Scholar
  4. 4.
    N. Kotkunde, A.D. Deole, A.K. Gupta, S.K. Singh, Comparative study of constitutive modeling for Ti–6Al–4V alloy at low strain rates and elevated temperatures. Mater. Des. 55, 999–1005 (2014)CrossRefGoogle Scholar
  5. 5.
    R. Bobbili, V. Madhu, Constitutive modeling of hot deformation behavior of high-strength armor steel. J. Mater. Eng. Perform. 25, 1829–1838 (2016)CrossRefGoogle Scholar
  6. 6.
    S.V. Sajadifar, G.G. Yapici, High temperature flow response modeling of ultra-fine grained titanium. Metals 5, 1315–1327 (2015)CrossRefGoogle Scholar
  7. 7.
    N. Kotkunde, H.N. Krishnamurthy, P. Puranik, A.K. Gupta, S.K. Singh, Microstructure study and constitutive modeling of Ti–6Al–4V alloy at elevated temperatures. Mater. Des. 54, 96–103 (2014)CrossRefGoogle Scholar
  8. 8.
    Y.C. Lin, C.Y. Zhao, M.S. Chen, D.D. Chen, A novel constitutive model for hot deformation behaviors of Ti–6Al–4V alloy based on probabilistic method. Appl. Phys. A 122, 716–724 (2016)ADSCrossRefGoogle Scholar
  9. 9.
    A. Etaati, K. Dehghani, G.R. Ebrahimi, H. Wang, Predicting the flow stress behavior of Ni–42.5Ti–3Cu during hot deformation using constitutive equations. Met. Mater. Int. 19, 5–9 (2013)CrossRefGoogle Scholar
  10. 10.
    A.A. Khamei, K. Dehghani, Modeling the hot-deformation behavior of Ni60wt%–Ti40wt% intermetallic alloy. J. Alloys Compd. 490, 377–381 (2010)CrossRefGoogle Scholar
  11. 11.
    S.V. Sajadifar, G.G. Yapici, M. Ketabchi, B. Bemanizadeh, High temperature deformation behavior of 4340 steel: activation energy calculation and modeling of flow response. J. Iron Steel Res. Int. 20, 133–139 (2013)CrossRefGoogle Scholar
  12. 12.
    Y.Q. Ning, M.W. Fu, X. Chen, Hot deformation behavior of GH4169 superalloy associated with stick δ phase dissolution during isothermal compression process. Mater. Sci. Eng. A 540, 164–173 (2012)CrossRefGoogle Scholar
  13. 13.
    Y.C. Lin, J. Deng, Y.Q. Jiang, D.X. Wen, G. Liu, Hot tensile deformation behaviors and fracture characteristics of a typical Ni-based superalloy. Mater. Des. 55, 949–957 (2014)CrossRefGoogle Scholar
  14. 14.
    Y.C. Lin, D.X. Wen, J. Deng, G. Liu, J. Chen, Constitutive models for high-temperature flow behaviors of a Ni-based superalloy. Mater. Des. 59, 115–123 (2014)CrossRefGoogle Scholar
  15. 15.
    S.S. Satheesh Kumar, T. Raghu, P.P. Bhattacharjee, G. Appa Rao, U. Borah, Constitutive modeling for predicting peak stress characteristics during hot deformation of hot isostatically processed nickel-base superalloy. J. Mater. Sci. 50, 6444–6456 (2015)ADSCrossRefGoogle Scholar
  16. 16.
    Y.C. Lin, K.K. Li, H.B. Li, J. Chen, X.M. Chen, D.X. Wen, New constitutive model for high-temperature deformation behavior of Inconel 718 superalloy. Mater. Des. 74, 108–118 (2015)CrossRefGoogle Scholar
  17. 17.
    Y.C. Lin, D.X. Wen, Y.C. Huang, X.M. Chen, X.W. Chen, A unified physically-based constitutive model for describing strain hardening effect and dynamic recovery behavior of a Ni-based superalloy. J. Mater. Res. 30, 3784–3794 (2015)ADSCrossRefGoogle Scholar
  18. 18.
    R.M. Cleveland, A.K. Ghosh, Inelastic effects on springback in metals. Int. J. Plast. 18, 769–785 (2002)CrossRefzbMATHGoogle Scholar
  19. 19.
    R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950)zbMATHGoogle Scholar
  20. 20.
    S.R. Bodner, Y. Partom, Constitutive equations for elastic-viscoplastic strain-hardening materials. J. Appl. Mech. 42, 385–389 (1975)ADSCrossRefGoogle Scholar
  21. 21.
    Y.Q. Ning, B.C. Xie, H.Q. Liang, H.Z. Guo, Dynamic softening behaviors of TC18 titanium alloy during hot deformation. Mater. Des. 71, 68–77 (2015)CrossRefGoogle Scholar
  22. 22.
    Y.C. Lin, X.M. Chen, M.S. Chen, Y. Zhou, D.X. Wen, D.G. He, A new method to predict the metadynamic recrystallization behavior in a typical nickel-based superalloy. Appl. Phys. A 122, 1–14 (2016)ADSGoogle Scholar
  23. 23.
    S.S. Satheesh Kumar, T. Raghu, P.P. Bhattacharjee, G.A. Rao, U. Borah, Strain rate dependent microstructural evolution during hot deformation of a hot isostatically processed nickel base superalloy. J. Alloys Compd. 681, 28–42 (2016)CrossRefGoogle Scholar
  24. 24.
    M.S. Chen, Y.C. Lin, K.K. Li, Y. Zhou, A new method to establish dynamic recrystallization kinetics model of a typical solution-treated Ni-based superalloy. Comp. Mater. Sci. 122, 150–158 (2016)CrossRefGoogle Scholar
  25. 25.
    N. Kotkunde, A.D. Deole, A.K. Gupta, S.K. Singh, Comparative study of constitutive modeling for Ti–6Al–4V alloy at low strain rates and elevated temperatures. Mater. Des. 55, 999–1005 (2014)CrossRefGoogle Scholar
  26. 26.
    Y.Y. Dong, C.S. Zhang, X. Lu, C.X. Wang, G.Q. Zhao, Constitutive equations and flow behavior of an as-extruded AZ31 magnesium alloy under large strain condition. J. Mater. Eng. Perform. 25, 2267–2281 (2016)CrossRefGoogle Scholar
  27. 27.
    X.Q. Li, G.Q. Guo, J.J. Xiao, N. Song, D.S. Li, Constitutive modeling and the effects of strain rate and temperature on the formability of Ti–6Al–4V alloy sheet. Materi. Des. 55, 325–334 (2014)CrossRefGoogle Scholar
  28. 28.
    S. Mandal, V. Rakesh, P.V. Sivaprasad, S. Venugopal, K.V. Kasiviswanathan, Constitutive equations to predict high temperature flow stress in a Ti-modified austenitic stainless steel. Mater. Sci. Eng. A 500, 114–121 (2009)CrossRefGoogle Scholar
  29. 29.
    D. Samantaray, S. Mandal, A.K. Bhaduri, Constitutive analysis to predict high-temperature flow stress in modified 9Cr–1Mo (P91) steel. Mater. Des. 31, 981–984 (2010)CrossRefGoogle Scholar
  30. 30.
    C.M. Sellars, On the mechanism of hot deformation. Acta Metall. 14, 1136–1138 (1966)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Ming-Song Chen
    • 1
    • 2
    • 3
  • Y. C. Lin
    • 1
    • 2
    • 3
    Email author
  • Kuo-Kuo Li
    • 1
    • 2
  • Jian Chen
    • 4
  1. 1.School of Mechanical and Electrical EngineeringCentral South UniversityChangshaChina
  2. 2.State Key Laboratory of High Performance Complex ManufacturingChangshaChina
  3. 3.Light Alloy Research InstituteCentral South UniversityChangshaChina
  4. 4.School of Energy and Power Engineering, Key Laboratory of Efficient and Clean Energy UtilizationChangsha University of Science and TechnologyChangshaChina

Personalised recommendations