Abstract
The hot deformation characteristics of hot-pressed nickel-based superalloy were investigated by employing hot compression experiments over the temperatures range of 1050–1200 °C and the strain rates range of 0.001–10 s−1 under true strain of 0.7. The constitutive relationship was established considering Zener–Hollomon parameter, dynamic recrystallization (DRX) critical model and kinetic model based on the flow stress data corrected by friction and adiabatic heating. The hot deformation activation energy was calculated to be 577.45 kJ/mol, the results show that the flow stress predicted by the constitutive equation is in good agreement with the experimental data, and the DRX kinetic model matched well with the microstructure analyzed by electron backscatter diffraction technique. The three-dimensional distribution of power dissipation efficiency taking the influence of strain into account and processing maps were constructed to further delineate the intrinsic workability of alloy. Combined with microstructure observation, it is recommended that the optimum hot working windows were identified in the samples deformed within 1160–1190 °C /0.05–0.819 s−1, 1130–1165 °C /0.0025–0.05 s−1 and 1055–1085 °C /0.011–0.135 s−1; homogeneous and fine equiaxed microstructures can be found in this domain mainly due to the appearance of DRX.
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References
Ganeev AA, Valitov VA, Utyashev FZ, Imaev VM (2019) The influence of temperature-strain rate conditions on hot workability and microstructure of powder metallurgy nickel-based superalloy EP741NP. Phys Met Metallogr 120:410–416
Kumar SSS, Raghu T, Bhattacharjee PP, Rao GA, Borah U (2017) Work hardening characteristics and microstructural evolution during hot deformation of a nickel superalloy at moderate strain rates. J Alloys Compd 709:394–409
Rastegari H, Kermanpur A, Najafizadeh A, Somani CM, Porter AD, Ghassemali E (2016) Determination of processing maps for the warm working of vanadium microalloyed eutectoid steels. Mater Sci Eng A 658:167–175
Wu H, Wen S, Huang H, Wu X, Gao K, Wang W, Nie ZR (2016) Hot deformation behavior and constitutive equation of a new type Al-Zn-Mg-Er-Zr alloy during isothermal compression. Mater Sci Eng A 651:415–424
Qin X, Huang D, Yan X, Zhang X, Qi M, Yue S (2018) Hot deformation behaviors and optimization of processing parameters for Alloy 602 CA. J Alloys Compd 770:507–516
Lin Y, Nong F, Chen X, Chen D, Chen M (2017) Microstructural evolution and constitutive models to predict hot deformation behaviors of a nickel-based superalloy. Vacuum 137:104–114
Pu E, Zheng W, Song Z, Feng H, Dong H (2017) Hot deformation characterization of nickel-based superalloy UNS10276 through processing map and microstructural studies. J Alloys Compd 15:617–631
Wu H, Liu M, Wang Y, Huang Z, Tan G, Yang L (2020) Experimental study and numerical simulation of dynamic recrystallization for a FGH96 superalloy during isothermal compression. J Mater Res Technol 9:5090–5104
Wang M, Wang W, Liu Z, Sun C, Qian L (2018) Hot workability integrating processing and activation energy maps of Inconel 740 superalloy. Mater Today Commun 14:188–198
Wen D, Lin Y, Chen J, Deng J, Chen X, Zhang J, He M (2015) Effects of initial aging time on processing map and microstructures of a nickel-based superalloy. Mater Sci Eng A 620:319–332
Oleksandr L, Tomasz S, Krystian Z, Aneta L, Marek W (2020) Evaluation of Hot Workability of Nickel-Based Superalloy Using Activation Energy Map and Processing Maps. Materials 13(16):3629
Wu Z, Tang Y, Chen W, Lu L, Li E, Li Z, Ding H (2019) Exploring the influence of Al content on the hot deformation behavior of Fe-Mn-Al-C steels through 3D processing map. Vacuum 159:447–455
Liu Y, Ning Y, Yang X, Yao Z, Guo H (2016) Effect of temperature and strain rate on the workability of FGH4096 superalloy in hot deformation. Mater Design 95:669–676
Ke B, Ye L, Tang J, Zhang Y, Liu S, Lin H, Dong Y, Liu X (2020) Hot deformation behavior and 3D processing maps of AA7020 aluminum alloy. J Alloys Compd 845:156113
Ji H, Duan H, Li Y, Li Y, Li W, Huang X, Pei W, Lu Y (2020) Optimization the working parameters of as-forged 42CrMo steel by constitutive equation-dynamic recrystallization equation and processing maps. J Mater Res Technol 9:7210–7224
Wu R, Liu Y, Geng C, Lin Q, Xiao Y, Xu J, Kang W (2017) Study on hot deformation behavior and intrinsic workability of 6063 aluminum alloys using 3D processing map. J Alloys Compd 713:212–221
Ebrahimi R, Najafizadeh A (2004) A new method for evaluation of friction in bulk metal forming. J Mater Process Tech 152:136–143
Goetz RL, Semiatin SL (2001) The adiabatic correction factor for deformation heating during the uniaxial compression test. J Mater Eng Perform 10:710–717
Oh SI, Semiatin SL, Jonas JJ (1992) An analysis of the isothermal hot compression test. Metall Trans A 23:963–975
Academic Committee of the Superalloys (2012) CMS, China superalloys handbook: part I. China Zhijian Publishing House, Standards Press of China
Wan Z, Hu L, Sun Y, Wang T, Li Z (2018) Hot deformation behavior and processing workability of a Ni-based alloy. J Alloys Compd 769:367–375
Maj P, Zdunek J, Mizera J, Kurzydlowski K, Sakowicz B, Kaminski M (2017) Microstructure and strain-stress analysis of the dynamic strain aging in inconel 625 at high temperature. Met Mater Int 23:54–67
Mahalle G, Kotkunde N, Gupta A, Singh S (2019) Analysis of hot workability of inconel alloys using processing maps[M]
Liu Y, Ning Y, Yao Z, Li H, Miao X, Li Y, Zhao Z (2016) Plastic deformation and dynamic recrystallization of a powder metallurgical nickel-based superalloy. J Alloys Compd 675:73–80
Shen J, Hu L, Sun Y, Fang A, Wan Z (2020) Hot deformation behaviors and three-dimensional processing map of a nickel-based superalloy with initial dendrite microstructure. J Alloys Compd 822:153735
Tan Y, Ma Y, Zhao F (2018) Hot deformation behavior and constitutive modeling of fine grained Inconel 718 superalloy. J Alloys Compd 741:85–96
Zhang Y, Han S, Jia J, Liu J, Hu B (2015) Effect of microelement Hf on the microstructure of powder metallurgy superalloy FGH97. Acta Metall Sin 51(10):1219–1226
Xu Z, Li H, Li M (2017) Dynamic recrystallization model of GH696 superalloy. Zhongguo Youse Jinshu Xuebao Chin J Nonferr Metals 27:1551–1562
Mcqueen HJ, Ryan ND (2002) Constitutive analysis in hot working. Mater Sci Eng A 322:43–63
Ryan ND, Mcqueen HJ (1990) Dynamic Softening Mechanisms in 304 Austenitic Stainless Steel. Can Metall Quart 29:147–162
Poliak EI, Jonas JJ (1996) A one-parameter approach to determining the critical conditions for the initiation of dynamic recrystallization. Acta Mater 44:127–136
Mirzadeh H, Cabrera JM, Najafizadeh A (2012) Modeling and Prediction of Hot Deformation Flow Curves. Metall Mater Trans A 43:108–123
Jonas JJ, Quelennec X, Jiang L, Martin É (2009) The Avrami kinetics of dynamic recrystallization. Acta Mater 57:2748–2756
Laasraoui A, Jonas JJ (1991) Recrystallization of austenite after deformation at high temperatures and strain rates analysis and modeling. Metall Mater Trans A 22:151–160
Serajzadeh S, Taheri AK (2003) Prediction of flow stress at hot working condition. Mech Res Commun 30:87–93
Kotkunde N, Deole AD, Gupta AK, Singh SK (2014) Comparative study of constitutive modeling for Ti-6Al-4V alloy at low strain rates and elevated temperatures. Mater Des 55:999–1005
Prasad YVRK, Gegel HL, Doraivelu SM, Malas JC, Morgan JT (1984) Modeling of dynamic material behavior in hot deformation: Forging of Ti-6242. Metall Trans A 15:1883–1892
Prasad YVRK, Seshacharyulu T (1998) Modelling of hot deformation for microstructural control. Metall Rev 43:243–258
Prasad YVRK (1990) Recent advances in the Science of Mechanical processing. Indian J Technol 28:435–451
Murty SVSN, Rao BN (1998) Ziegler’s criterion on the instability regions in processing maps. J Mater Sci Lett 17:1203–1205
Gopinath K, Gogia AK, Kamat SV, Ramamurty U (2009) Dynamic strain ageing in Ni-base superalloy 720Li. Acta Mater 57:1243–1253
Seshacharyulu T, Medeiros SC, Frazier WG, Prasad YVRK (2000) Hot working of commercial Ti-6Al-4V with an equiaxed a-b microstructure: materials modeling considerations. Mater Sci Eng A 284:184–194
Ning Y, Yao Z, Li H, Guo H, Tao Y, Zhang Y (2010) High temperature deformation behavior of hot isostatically pressed P/M FGH4096 superalloy. Mater Sci Eng A 527:961–966
Chiba A, Lee SH, Matsumoto H, Nakamura M (2009) Construction of processing map for biomedical Co-28Cr-6Mo-0.16N alloy by studying its hot deformation behavior using compression tests. Mater Sci Eng A 514:286–293
Sui F, Xu L, Chen L, Liu X (2011) Processing map for hot working of Inconel 718 alloy. J Mater Process Tech 211:433–440
Zeng SW, Zhao AM, Jiang HT, Ren Y (2017) Flow behavior and processing maps of Ti-44.5Al-3.8Nb-1.0Mo-0.3Si-0.1B alloy. J Alloys Compd 698:786–793
Yu Q, Yao Z, Dong J (2015) Deformation and Recrystallization Behavior of a Coarse-Grain, Nickel-Base Superalloy Udimet720Li Ingot Material. Mater Charact 107:398–410
Acknowledgements
This work was sponsored by the National Natural Science Foundation of China (Grant No. 51405110), the China Postdoctoral Science Foundation (Grant No. 2014M551234), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20132302120002) and the Fundamental Research Funds for the Central Universities (Grant No. HIT. NSRIF. 2014006).
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Feng, X., Hu, L. & Sun, Y. Optimization of the hot working parameters of a nickel-based superalloy using a constitutive-dynamic recrystallization model and three-dimensional processing map. J Mater Sci 56, 15441–15462 (2021). https://doi.org/10.1007/s10853-021-06276-4
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DOI: https://doi.org/10.1007/s10853-021-06276-4