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Constitutive modeling for predicting peak stress characteristics during hot deformation of hot isostatically processed nickel-base superalloy

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Abstract

Hot flow behavior of hot isostatically processed experimental nickel-based superalloy is investigated over temperature and strain rate ranging from 1000–1200 °C and 0.001–1 s−1, respectively by carrying out constant true strain rate isothermal compression tests up to true strain of 0.69. True stress–true strain curves corrected for adiabatic temperature rise exhibited rapid strain hardening followed by flow softening behavior irrespective of temperature and strain rate regimes investigated, although anomalous flow behavior is observed at 1200 °C. Variation of peak flow stress with temperature is corroborated to the microstructural changes pertaining to the morphology and relative volume fraction of the phases present. From the experimental results, constitutive model incorporating the effects of strain rate, strain, and temperature is established to describe the hot flow behavior of investigated alloy. Dependence of peak flow stress on strain rate and temperature described by Zener–Hollomon (Z) parameter indicated increase in peak flow stress with Z. Additionally Cingara-Queen equation is employed to predict flow curve up to peak stress. The reliability of developed constitutive models is validated statistically and the results indicate reasonable agreement with experimental findings.

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References

  1. Sakai T, Belyakov A, Kaibyshev R, Miura H, Jonas JJ (2014) Dynamic and post dynamic recrystallization under hot cold and severe plastic deformation condition. Prog Mater Sci 60:130–207

    Article  Google Scholar 

  2. Faccoli M, Roberti R (2013) Study of hot deformation behaviour of 2205 duplex stainless steel through hot tension tests. J Mater Sci. doi:10.1007/s10853-013-7307-8

    Google Scholar 

  3. Guo S, Li D, Guo Q, Wu Z, Peng H, Hu J (2012) Investigation on hot workability characteristics of Inconel 625 superalloy using processing maps. J Mater Sci. doi:10.1007/s10853-012-6488-x

    Google Scholar 

  4. Aghaie-Khafri M, Golarzi N (2008) Dynamic and metadynamic recrystallization of Hastelloy X superalloy. J Mater Sci. doi:10.1007/s10853-008-2604-3

    Google Scholar 

  5. Medeiros SC, Prasad YVRK, Frazier WG, Srinivasan R (2000) Microstructural modeling of metadynamic recrystallization in hot working of IN718 alloy. Mater Sci Eng A 293:198–207

    Article  Google Scholar 

  6. Lin YC, Chen MS (2009) Study of microstructural evolution during static recrystallization in a low alloy steel. J Mater Sci. doi:10.1007/s10853-008-3120-1

    Google Scholar 

  7. Marchattiwar A, Sarkar A, Chakravartty JK, Kashyap BP (2013) Dynamic recrystallization during hot deformation of 304 stainless steel. J Mater Eng Perform 22:2168–2175

    Google Scholar 

  8. Sheppard T, Duan X (2003) Modelling of static recrystallization by the combination of empirical models with the finite element method. J Mater Sci 38:1747–1754. doi:10.1023/A:1023283911730

    Article  Google Scholar 

  9. Zhang JM, Gao ZY, Zhuang JY, Zhong ZY (1999) Mathematical modeling of the hot-deformation behavior of superalloy IN718. Metall Mater Trans A 30:2703–2712

    Google Scholar 

  10. Lin YC, Fang X, Wang YP (2008) Prediction of metadynamic softening in a multi-pass hot deformed low alloy steel using artificial neural network. J Mater Sci. doi:10.1007/s10853-008-2832-6

    Google Scholar 

  11. Zhao J, Ding H, Zhao W, Huang M, Wei D, Jiang Z (2014) Modelling of the hot deformation behaviour of a titanium alloy using constitutive equations and artificial neural network. Comput Mater Sci 92:47–56

    Article  Google Scholar 

  12. Han F, Tang B, Kou H, Li J, Feng Y (2013) Cellular automata modeling of static recrystallization based on the curvature driven subgrain growth mechanism. J Mater Sci. doi:10.1007/s10853-013-7530-3

    Google Scholar 

  13. Han F, Tang B, Kou H, Cheng L, Li J, Feng Y (2014) Static recrystallization simulations by coupling cellular automata and crystal plasticity finite element method using a physically based model for nucleation. J Mater Sci. doi:10.1007/s10853-014-8031-8

    Google Scholar 

  14. Lin YC, Chen XM (2011) A critical review of experimental results and constitutive descriptions for metals and alloys in hot working. Mater Des 32:1733–1759

    Article  Google Scholar 

  15. Liang R, Khan AS (1999) A critical review of experimental results and constitutive models of bcc and fcc metals over a wide range of strain rates and temperatures. Int J Plast 15:823–831

    Article  Google Scholar 

  16. Maheshwari AK, Pathak KK, Ramakrishnan N, Narayan SP (2010) Modified Johnson–Cook material flow model for hot deformation processing. J Mater Sci. doi:10.1007/s10853-009-4010-x

    Google Scholar 

  17. Ryan ND, McQueen HJ (1990) Dynamic softening mechanisms in 304 austenitic stainless steels. Can Metall Q 29:147–162

    Article  Google Scholar 

  18. Poliak EI, Jonas JJ (1996) A one parameter approach to determining the critical parameters for the initiation of dynamic recrystallization. Acta Metall Mater 44:127–136

    Article  Google Scholar 

  19. Najafizadeh A, Jonas JJ (2006) Predicting the critical stress for initiation of dynamic recrystallization. ISIJ Int 46:1679–1684

    Article  Google Scholar 

  20. Momeni A, Dehghani K, Ebrahimi GR (2011) Modeling the initiation of dynamic recrystallization using a dynamic recovery model. J Alloys Compd 509:9387–9393

    Article  Google Scholar 

  21. Pollock TM, Tin S (2006) Nickel-based superalloys for advanced turbine engines: chemistry, microstructure and properties. J Propuls Power 22:361–374

    Article  Google Scholar 

  22. Ducrocq C, Lasalmonie A, Honnarat Y (1988) N18, a new damage tolerant PM superalloy for high temperature turbine discs. In: Reichman S, Duhl DN, Maurer G, Antolovich S, Lund C (eds) Superalloys. TMS, Warrandale, pp 63–82

    Google Scholar 

  23. Raisson C, Davidson JH (1990) N18, a new generation PM superalloy for critical turbine components. In: Bachelet E et al (eds) High temperature materials for power engineering. Kluwer Academy, Liege, pp 1405–1416

    Google Scholar 

  24. Guedou JY, Lautridou JC, Honnorat Y (1993) N18, Powder metallurgy superalloy for disks: development and applications. J Mater Eng Perform 2:551–556

    Article  Google Scholar 

  25. Sellars CM, Tegart WJ (1972) Hot workability. Int Metall Rev 17:1–24

    Article  Google Scholar 

  26. Zhang J, Di H, Wang H, Mao K, Ma T, Cao Y (2012) Hot deformation behavior of Ti-15-3 titanium alloy: a study using processing maps, activation energy map, and Zener–Hollomon parameter map. J Mater Sci. doi:10.1007/s10853-012-6253-1

    Google Scholar 

  27. Zhang H, Zhang K, Lu Z, Zhao C, Yang X (2014) Hot deformation behavior and processing map of a γ′ hardened nickel based superalloy. Mater Sci Eng A 604:1–8

    Article  Google Scholar 

  28. Li HY, Liu Y, Lu XC, Su XJ (2012) Constitutive modeling for hot deformation behavior of ZA27 alloy. J Mater Sci. doi:10.1007/s10853-012-6427-x

    Google Scholar 

  29. Cingara A, McQueen HJ (1992) New formula for calculating flow curves from high temperature constitutive data for 300 austenitic steels. J Mater Process Technol 36:31–42

    Article  Google Scholar 

  30. Lin YC, Wen DX, Deng J, Liu G, Chen J (2014) Constitutive models for high temperature flow behaviours of a Ni-based superalloy. Mater Des 59:115–123

    Article  Google Scholar 

  31. Monajati H, Jahazi M, Yue S, Taheri AK (2005) Deformation characteristics of isothermally forged UDIMET 720 Nickel base superalloy. Metal Mater Trans A 36:895–905

    Article  Google Scholar 

  32. Dieter GE, Kuhn HA, Semiatin SL (2003) Handbook of workability and process design. ASM International Materials Park, Ohio

    Google Scholar 

  33. Liu Y, Hu R, Li J, Kou H, Li H, Chang H, Fu H (2009) Characterization of hot deformation behavior of Haynes230 by using processing maps. J Mater Process Technol 209:4020–4026

    Article  Google Scholar 

  34. Wang J, Dong J, Zhang M, Xie X (2013) Hot working characteristics of nickel-base superalloy740H during compression. Mater Sci Eng A 566:61–70

    Article  Google Scholar 

  35. Wen DX, Lin YC, Li HB, Chen XM, Deng J, Li LT (2014) Hot deformation behavior and processing map of a typical Ni-based superalloy. Mater Sci Eng A 591:183–192

    Article  Google Scholar 

  36. Ning Y, Yao Z, Lei Y, Guo Y, Fu MW (2011) Hot deformation behavior of the post-cogging FGH4096 superalloy with fine equiaxed microstructure. Mater Charact 62:887–893

    Article  Google Scholar 

  37. Asaro RJ, Rice JR (1977) Strain localization in ductile single crystals. J Mech Phys Solids 25:309–338

    Article  Google Scholar 

  38. Byun TS, Hashimoto N, Farrell K (2004) Temperature dependence of strain hardening and plastic instability behaviors in austenitic stainless steels. Acta Mater 52:3889–3899

    Article  Google Scholar 

  39. Sui F-L, Xu L-X, Chen L-Q, Liu X-H (2011) Processing map for hot working of Inconel 718 alloy. J Mater Process Technol 211:433–440

    Article  Google Scholar 

  40. Bi Z, Zhang M, Dong J, Luo K, Wang J (2010) A new prediction model of steady state stress based on the influence of the chemical composition of nickel based superalloys. Mater Sci Eng A 527:4373–4382

    Article  Google Scholar 

  41. Nie L, Zhang L, Zhu Z, Xu W (2013) Constitutive modeling of dynamic recrystallization kinetics and processing maps of solution and aging FGH96 superalloy. J Mater Eng Perform 22:3728–3734

    Article  Google Scholar 

  42. Bauer A, Neumeier S, Pyczak F, Singer RF, Goken M (2012) Creep properties of different γ′ strengthened Co-base superalloys. Mater Sci Eng A 550:333–341

    Article  Google Scholar 

  43. Wu HY, Zhu FJ, Wang SC, Wang WR, Wang CC, Chiu CH (2012) Hot deformation characteristics and strain-dependent constitutive analysis of Inconel 600 superalloy. J Mater Sci. doi:10.1007/s10853-012-6250-4

    Google Scholar 

  44. Kang FW, Zhang GQ, Sun JF, Li Z, Shen J (2008) Hot deformation behavior of a spray formed superalloy. J Mater Process Technol 204:147–151

    Article  Google Scholar 

Download references

Acknowledgements

Authors thank Dr.Amol A Gokhale, Director DMRL for permitting us to publish the work. Authors also thank Dr A K Gogia, Division Head, Aeronautical Materials Division for his constant encouragement. Authors acknowledge support rendered by members of Metal Forming & Tribology Lab, Materials Technology Division, IGCAR, Kalpakkam, India for carrying out hot compression experiments. Authors acknowledge the funding provided by Defence Research Development Organization (DRDO) for carrying out this work.

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Authors and Affiliations

  1. Near Net Shape Group, Aeronautical Materials Division, Defence Metallurgical Research Laboratory, Kanchanbagh Post, Hyderabad, 500058, India

    S. S. Satheesh Kumar & T. Raghu

  2. Department of Materials Science & Metallurgical Engineering, Indian Institute of Technology, Hyderabad, 502205, India

    S. S. Satheesh Kumar & Pinaki P. Bhattacharjee

  3. Materials Technology Division, Indira Gandhi Centre for Atomic Research, Kalpakkam, 603102, India

    Utpal Borah

  4. Powder Processing Group, Defence Metallurgical Research Laboratory, Kanchanbagh Post, Hyderabad, 500058, India

    G. Appa Rao

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  1. S. S. Satheesh Kumar
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Correspondence to S. S. Satheesh Kumar.

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Satheesh Kumar, S.S., Raghu, T., Bhattacharjee, P.P. et al. Constitutive modeling for predicting peak stress characteristics during hot deformation of hot isostatically processed nickel-base superalloy. J Mater Sci 50, 6444–6456 (2015). https://doi.org/10.1007/s10853-015-9200-0

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