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Improved dislocation density-based models for describing hot deformation behaviors of a Ni-based superalloy

Published online by Cambridge University Press:  14 June 2016

Y.C. Lin ,
Dong-Xu Wen ,
Ming-Song Chen ,
Yan-Xing Liu ,
Xiao-Min Chen  and
Xiang Ma
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
Ming-Song 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
Yan-Xing Liu
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
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
Xiang Ma
Affiliation:
SINTEF Materials and Chemistry, Blindern, 0314 Oslo, Norway
*
a) Address all correspondence to this author. e-mail: [email protected], [email protected]
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Abstract

Generally, the obvious work hardening, dynamic recrystallization (DRX), and dynamic recovery behaviors can be found during hot deformation of Ni-based superalloys. In the present study, the classical dislocation density theory is improved by introducing a new dislocation annihilation item to represent the influences of DRX on dislocation density evolution for a Ni-based superalloy. Based on the improved dislocation density theory, the peak strain corresponding to peak stress and the critical strain for initiating DRX can be determined, and the improved DRX kinetics equations and grain size evolution models are developed. The physical framework and algorithmic idea of the improved dislocation density theory are clarified. Moreover, the deformed microstructures are characterized and quantitatively correlated to validate the improved dislocation density theory. It is found that the improved dislocation density-based models can precisely characterize hot deformation and DRX behaviors for the studied superalloy under the tested conditions.

Keywords

alloystress/strain relationshipdislocation
Type
Articles
Information
Journal of Materials Research , Volume 31 , Issue 16 , 29 August 2016 , pp. 2415 - 2429
Copyright
Copyright © Materials Research Society 2016 

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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).CrossRefGoogle Scholar
Lin, Y.C., Wen, D.X., Huang, Y.C., Chen, X.M., and Chen, X.W.: 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 (2015).CrossRefGoogle Scholar
Liang, H.Q., Guo, H.Z., Ning, Y.Q., Peng, X.N., Qin, C., Shi, Z.F., and Nan, Y.: Dynamic recrystallization behavior of Ti–5Al–5Mo–5V–1Cr–1Fe alloy. Mater. Des. 63, 798 (2015).CrossRefGoogle Scholar
Quan, G.Z., Lv, W.Q., Mao, Y.P., Zhang, Y.W., and Zhou, J.: Prediction of flow stress in a wide temperature range involving phase transformation for as-cast Ti–6Al–2Zr–1Mo–1V alloy by artificial neural network. Mater. Des. 50, 51 (2013).CrossRefGoogle Scholar
Maghsoudi, M.H., Zarei-Hanzaki, A., Changizian, P., and Marandi, A.: Metadynamic recrystallization behavior of AZ61 magnesium alloy. Mater. Des. 57, 487 (2014).CrossRefGoogle Scholar
Liu, Y.H., Ning, Y.Q., Yao, Z.K., and Fu, M.W.: Hot deformation behavior of the 1.15C–4.00Cr–3.00V–6.00W–5.00Mo powder metallurgy high speed steel. Mater. Des. 54, 854 (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).CrossRefGoogle 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).CrossRefGoogle 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).CrossRefGoogle Scholar
Sakai, T., Belyakov, A., Kaibyshev, R., Miura, H., and Jonas, J.J.: Dynamic and post-dynamic recrystallization under hot cold and severe plastic deformation conditions. Prog. Mater. Sci. 60, 130 (2014).CrossRefGoogle Scholar
Gambirasio, L. and Rizzi, E.: An enhanced Johnson–Cook strength model for splitting strain rate and temperature effects on lower yield stress and plastic flow. Comput. Mater. Sci. 113, 231 (2016).CrossRefGoogle Scholar
Abbasi-Bani, A.R., 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).CrossRefGoogle 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
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
Bobbili, R., Paman, A., and Madhu, V.: High strain rate tensile behavior of Al–4.8Cu–1.2Mg alloy. Mater. Sci. Eng., A 651, 753 (2016).CrossRefGoogle 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
Trimble, D. and O'Donnell, G.E.: Constitutive modelling for elevated temperature flow behaviour of AA7075. Mater. Des. 76, 150 (2015).CrossRefGoogle Scholar
Collins, D.M. and Stone, H.J.: A modelling approach to yield strength optimisation in a nickel–base superalloy. Int. J. Plast. 54, 96 (2014).CrossRefGoogle Scholar
Li, L.T., Lin, Y.C., Li, L., Shen, L.M., and Wen, D.X.: Three-dimensional crystal plasticity finite element simulation of hot compressive deformation behaviors of 7075 Al alloy. J. Mater. Eng. Perform. 24, 1294 (2015).CrossRefGoogle 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).CrossRefGoogle 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
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).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).CrossRefGoogle 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. 618, 372 (2015).CrossRefGoogle Scholar
Le Graverend, J.B., Cormier, J., Gallerneau, F., Villechaise, P., Kruch, S., and Mendez, J.: A microstructure-sensitive constitutive modeling of the inelastic behavior of single crystal nickel-based superalloys at very high temperature. Int. J. Plast. 59, 55 (2014).CrossRefGoogle Scholar
Shore, F.M., Morakabati, M., Abbasi, S.M., Momeni, A., and Mahdavi, R.: Hot ductility of Incoloy 901 produced by vacuum arc remelting. ISIJ Int. 54, 1353 (2014).CrossRefGoogle 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).CrossRefGoogle 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).CrossRefGoogle 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).CrossRefGoogle Scholar
Bergström, Y.: A dislocation model for the stress-strain behaviour of polycrystalline α-Fe with special emphasis on the variation of the densities of mobile and immobile dislocations. Mater. Sci. Eng. 5, 193 (1970).CrossRefGoogle Scholar
Bergström, Y.: The plastic deformation of metals—A dislocation model and its applicability. Rev. Powder Metall. Phys. Ceram. 2, 79 (1983).Google Scholar
Kocks, U.F. and Mecking, H.: Physics and phenomenology of strain hardening: The FCC case. Prog. Mater. Sci. 48, 171 (2003).CrossRefGoogle Scholar
Mecking, H. and Kocks, U.F.: Kinetics of flow and strain-hardening. Acta Metall. 29, 1865 (1981).CrossRefGoogle Scholar
Bambach, M., Heppner, S., Steinmetz, D., and Roters, F.: Assessing and ensuring parameter identifiability for a physically-based strain hardening model for twinning-induced plasticity. Mech. Mater. 84, 127 (2015).CrossRefGoogle Scholar
Estrin, Y., Tóth, L.S., Molinari, A., and Bréchet, Y.: A dislocation-based model for all hardening stages in large strain deformation. Acta Mater. 46, 5509 (1998).CrossRefGoogle Scholar
Galindo-Nava, E.I. and Rivera-Díaz-del-Castillo, P.E.J.: Thermostatistical modelling of hot deformation in FCC metals. Int. J. Plast. 47, 202 (2013).CrossRefGoogle Scholar
Estrin, Y., Molotnikov, A., Davies, C., and Lapovok, R.: Strain gradient plasticity modelling of high-pressure torsion. J. Mech. Phys. Solids 56, 1186 (2008).CrossRefGoogle Scholar
Hug, E., Dubos, P.A., Keller, C., Duchêne, L., and Habraken, A.M.: Size effects and temperature dependence on strain-hardening mechanisms in some face centered cubic materials. Mech. Mater. 91, 136 (2015).CrossRefGoogle 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
Wedberg, D. and Lindgren, L.E.: Modelling flow stress of AISI 316L at high strain rates. Mech. Mater. 91, 194 (2015).CrossRefGoogle Scholar
Csanádi, T., Chinh, N.Q., Gubicza, J., Vörös, G., and Langdon, T.G.: Characterization of stress-strain relationships in Al over a wide range of testing temperatures. Int. J. Plast. 54, 178 (2014).CrossRefGoogle Scholar
Shanthraj, P. and Zikry, M.A.: Dislocation density evolution and interactions in crystalline materials. Acta Mater. 59, 7695 (2011).CrossRefGoogle Scholar
Leung, H.S., Leung, P.S.S., Cheng, B., and Ngan, A.H.W.: A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. Int. J. Plast. 67, 1 (2015).CrossRefGoogle Scholar
Babu, B. and Lindgren, L.E.: Dislocation density based model for plastic deformation and globularization of Ti–6Al–4V. Int. J. Plast. 50, 94 (2013).CrossRefGoogle Scholar
Cyr, E.D., Mohammadi, M., Mishra, R.K., and Inal, K.: A three dimensional (3D) thermos-elasto-viscoplastic constitutive model for fcc polycrystals. Int. J. Plast. 70, 166 (2015).CrossRefGoogle Scholar
Borodachenkova, M., Barlat, F., Wen, W., Bastos, A., and Grácio, J.J.: A microstructure-based model for describing the material properties of Al–Zn alloys during high pressure torsion. Int. J. Plast. 68, 150 (2015).CrossRefGoogle Scholar
Marandi, A., Zarei-Hanzaki, R., Zarei-Hanzaki, A., and Abedi, H.R.: Dynamic recrystallization behavior of new transformation–twinning induced plasticity steel. Mater. Sci. Eng., A 607, 397 (2014).CrossRefGoogle Scholar
Liang, H.Q. and Guo, H.Z.: The integrated influence on hot deformation of dual-phase titanium alloys incorporating dynamic recrystallization evolution and α/β phase transformation. Mater. Lett. 151, 57 (2015).CrossRefGoogle 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).CrossRefGoogle Scholar
Estrin, Y. and Mecking, H.: A unified phenomenological description of work hardening and creep based on one-parameter models. Acta Metall. 32, 57 (1984).CrossRefGoogle Scholar
Engberg, G. and Lissel, L.: A physically based microstructure model for predicting the microstructural evolution of a C–Mn steel during and after hot deformation. Steel Res. Int. 79, 47 (2008).CrossRefGoogle Scholar
Li, H.W., Wu, C., and Yang, H.: Crystal plasticity modeling of the dynamic recrystallization of two-phase titanium alloys during isothermal processing. Int. J. Plast. 51, 271 (2013).CrossRefGoogle Scholar
Ding, R. and Guo, Z.X.: Coupled quantitative simulation of microstructural evolution and plastic flow during dynamic recrystallization. Acta Mater. 49, 3163 (2001).CrossRefGoogle Scholar
Popova, E., Staraselski, Y., Brahme, A., Mishra, R.K., and Inal, K.: Coupled crystal plasticity-probabilistic cellular automata approach to model dynamic recrystallization in magnesium alloys. Int. J. Plast. 66, 85 (2015).CrossRefGoogle Scholar
Takaki, T., Yoshimoto, C., Yamanaka, A., and Tomita, Y.: Multiscale modeling of hot-working with dynamic recrystallization by coupling microstructure evolution and macroscopic mechanical behavior. Int. J. Plast. 52, 105 (2014).CrossRefGoogle Scholar
Lin, Y.C., Liu, Y.X., Chen, M.S., Huang, M.H., Ma, X., and Long, Z.L.: Study of static recrystallization behavior in hot deformed Ni-based superalloy using cellular automaton model. Mater. Des. 99, 107 (2016).CrossRefGoogle Scholar
Estrin, Y.: Dislocation-density-related constitutive modeling. In Unified Constitutive Laws of Plastic Deformation, , A.S. Krausz, and Krausz, K., eds. (San Diego: Academic Press, 1996); p. 69.CrossRefGoogle Scholar
Lindgren, L.E., Domkin, K., and Hansson, S.: Dislocations, vacancies and solute diffusion in physical based plasticity model for AISI 316L. Mech. Mater. 40, 907 (2008).CrossRefGoogle Scholar
Mecking, H., Kocks, U.F., and Hartig, C.: Taylor factors in materials with many deformation modes. Scr. Mater. 35, 465 (1996).CrossRefGoogle 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).CrossRefGoogle 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
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
Galindo-Nava, E.I. and Rivera-Díaz-del-Castillo, P.E.J.: A thermostatistical theory of low and high temperature deformation in metals. Mater. Sci. Eng., A 543, 110 (2012).CrossRefGoogle 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).CrossRefGoogle Scholar
Laasraoui, A. and Jonas, J.J.: Prediction of steel flow stresses at high temperatures and strain rates. Metall. Trans. A 22, 1545 (1991).CrossRefGoogle Scholar
Galindo-Nava, E.I. and Rivera-Díaz-del-Castillo, P.E.J.: A thermodynamic theory for dislocation cell formation and misorientation in metals. Acta Mater. 60, 4370 (2012).CrossRefGoogle Scholar
Hall, E.O.: The deformation and ageing of mild steel: III discussion of results. Proc. Phys. Soc. B 64, 747 (1951).CrossRefGoogle Scholar
Chen, F., Cui, Z.S., Liu, J., Chen, W., and Chen, S.J.: Mesoscale simulation of the high–temperature austenitizing and dynamic recrystallization by coupling a cellular automaton with a topology deformation technique. Mater. Sci. Eng., A 527, 5539 (2010).CrossRefGoogle Scholar
Derby, B.: The dependence of grain size on stress during dynamic recrystallization. Acta Metall. Mater. 39, 955 (1991).CrossRefGoogle Scholar
Henshall, G.A., Kassner, M.E., and McQueen, H.J.: Dynamic restoration mechanisms in Al-5.8 At. Pct Mg deformed to large strains in the solute drag regime. Metall. Trans. A 23, 881 (1992).CrossRefGoogle 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).CrossRefGoogle Scholar
Frost, H.J. and Ashby, M.F.: Deformation Mechanism Maps: The Plasticity and Creep of Metals and Ceramics, 1st ed. (Pergamon Press, Oxford, 1982); p. 20.Google Scholar