Flow Stress Modeling in a γ-γ/ Cobalt Base Superalloy by Using the Hyperbolic Sine Equation and ANN Method

Document Type : Research Paper

Authors

1 Department of Materials Science and Engineering, Iran University of Sience and Technology, Tehran, Iran

2 School of Materials and Metallurgical Engineering, Iran University of Science and Technology (IUST), Narmak, Tehran, Iran.

3 School of Materials and Metallurgical Engineering, Iran University of Science and Technology (IUST), Narmak, Tehran, Iran

4 Sabzevar, Iran

Abstract

The new class of wrought γ-γ/ Co-base superalloys, which are based on Co-Al-W system,  was developed by conventional hot working routes with a high volume fraction of γ/ precipitates and good mechanical properties. The aim of the present study was to predict the flow stress and hot deformation modeling of a novel γ-γ/ Co-base superalloy. The hot compression tests were carried out over a wide range of temperatures (950°C-1200°C) and strain rates (0.001s-1-1s-1). The flow stress analysis, constitutive approach and microstructure characterization revealed that dynamic recrystallization (DRX) occurred at a high temperature regime (1100°C-1200°C) but not at a low one (950°C-1050°C) due to the presence of γ/ precipitates. The hot deformation characteristic was studied using the hyperbolic sine equation on each of the above-mentioned regimes and the ANN approach on the overall conditions. The constitutive method indicated good potential for the prediction of the flow stress at each separated regime, but the ANN model represented a much more appropriate performance. The outstanding predictability of the ANN model regardless of the γ/ phase participation during the thermomechanical processing under the overall deformation conditions can be considered as another achievement of the proposed approach.

Keywords


[1] J. Sato, T. Omori, K. Oikawa, I. Ohnuma, R. Kainuma and K. Ishida, Cobalt-Base High-Temperature Alloys, Science, 312 (2006) 90-91.
[2] T. Omori, K. Oikawa, J. Sato, I. Ohnuma, U. R. Kattner, R. Kainuma and K. J. I. Ishida, Partition behavior of alloying elements and phase transformation temperatures in Co–Al–W-base quaternary systems, 32 (2013) 274-283.
[3] S. Kobayashi, Y. Tsukamoto, T. Takasugi, H. Chinen, T. Omori, K. Ishida and S. J. I. Zaefferer, Determination of phase equilibria in the Co-rich Co–Al–W ternary system with a diffusion-couple technique, 17 (2009) 1085-1089.
[4] A. Bauer, S. Neumeier, F. Pyczak, R. Singer and M. Göken, Creep properties of different γ′-strengthened Co-base superalloys, Materials Science and Engineering: A, 550 (2012) 333-341.
[5] A. Suzuki and T. M. Pollock, High-temperature strength and deformation of γ/γ′ two-phase Co–Al–W-base alloys, Acta Materialia, 56 (2008) 1288-1297.
[6] F. Xue, H. Zhou, X. Chen, Q. Shi, H. Chang, M. Wang, X. Ding and Q. Feng, Creep behavior of a novel Co-Al-W-base single crystal alloy containing Ta and Ti at 982 C, MATEC Web of Conferences, 14 (2014), 15002.
[7] M. S. Titus, A. Suzuki and T. M. Pollock, Creep and directional coarsening in single crystals of new γ–γ′ cobalt-base alloys, Scripta Materialia, 66 (2012) 574-577.
[8] K. Tanaka, M. Ooshima, N. Tsuno, A. Sato and H. Inui, Creep deformation of single crystals of new Co–Al–W-based alloys with fcc/L12 two-phase microstructures, Philosophical Magazine, 92 (2012) 4011-4027.
[9] A. Suzuki, H. Inui and T. M. J. A. R. o. M. R. Pollock, L12-strengthened cobalt-base superalloys, 45 (2015) 345-368.
[10] N. L. Okamoto, T. Oohashi, H. Adachi, K. Kishida, H. Inui and P. J. P. M. Veyssière, Plastic deformation of polycrystals of Co3 (Al, W) with the L12 structure, 91 (2011) 3667-3684.
[11] R. C. Reed, The superalloys: fundamentals and applications, Cambridge university press, 2008.
[12] M. J. Donachie and S. J. Donachie, Superalloys: a technical guide, ASM international, 2002.
[13] C. Cui, D. Ping, Y. Gu and H. Harada, A new Co-base superalloy strengthened by γ′ phase, Materials transactions, 47 (2006) 2099-2102.
[14] A. Bauer, S. Neumeier, F. Pyczak and M. Göken, Microstructure and creep strength of different γ/γ′-strengthened Co-base superalloy variants, Scripta Materialia, 63 (2010) 1197-1200.
[15] K. Shinagawa, T. Omori, J. Sato, K. Oikawa, I. Ohnuma, R. Kainuma and K. Ishida, Phase Equilibria and Microstructure on γ/ Phase in Co-Ni-Al-W System, Materials Transactions, 49 (2008) 1474-1479.
[16] S. Neumeier, L. P. Freund and M. Göken, Novel wrought γ/γ′ cobalt base superalloys with high strength and improved oxidation resistance, Scripta Materialia, 109 (2015) 104-107.
[17] K. Shinagawa, T. Omori, K. Oikawa, R. Kainuma and K. Ishida, Ductility enhancement by boron addition in Co–Al–W high-temperature alloys, Scripta Materialia, 61 (2009) 612-615.
[18] H.-Y. Yan, V. A. Vorontsov, J. Coakley, N. G. Jones, H. J. Stone and D. J. S. Dye, Quaternary alloying effects and the prospects for a new generation of Co-base superalloys, 53 (2012) 705.
[19] H.-Y. Yan, J. Coakley, V. A. Vorontsov, N. G. Jones, H. J. Stone and D. Dye, Alloying and the micromechanics of Co–Al–W–X quaternary alloys, Materials Science and Engineering: A, 613 (2014) 201-208.
[20] E. T. McDevitt, Vacuum induction melting and vacuum arc remelting of Co-Al-WX gamma-prime superalloys, MATEC Web of Conferences, 14 (2014), 02001.
[21] X. He, Z. Yu, G. Liu, W. Wang, X. J. M. Lai and Design, Mathematical modeling for high temperature flow behavior of as-cast Ti–45Al–8.5 Nb–(W, B, Y) alloy, 30 (2009) 166-169.
[22] Y. Lin and X.-M. Chen, A critical review of experimental results and constitutive descriptions for metals and alloys in hot working, Materials and Design, 32 (2011) 1733-1759.
[23] J. Wang, G. Zhao, L. Chen, J. J. M. Li and Design, A comparative study of several constitutive models for powder metallurgy tungsten at elevated temperature, 90 (2016) 91-100.
[24] G. R. Johnson and W. H. J. E. f. m. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, 21 (1985) 31-48.
[25] L. Chen, G. Zhao, J. J. M. Yu and Design, Hot deformation behavior and constitutive modeling of homogenized 6026 aluminum alloy, 74 (2015) 25-35.
[26] R. Liang and A. S. J. I. J. o. P. Khan, A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures, 15 (1999) 963-980.
[27] A. S. Khan, Y. S. Suh and R. J. I. J. o. P. Kazmi, Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys, 20 (2004) 2233-2248.
[28] J. Jonas, C. Sellars and W. M. J. M. R. Tegart, Strength and structure under hot-working conditions, 14 (1969) 1-24.
[29] C. M. Sellars and W. J. A. M. McTegart, On the mechanism of hot deformation, 14 (1966) 1136-1138.
[30] H. Mirzadeh, J. M. Cabrera and A. Najafizadeh, Constitutive relationships for hot deformation of austenite, Acta materialia, 59 (2011) 6441-6448.
[31] T. Billot, P. Villechaise, M. Jouiad and J. Mendez, Creep–fatigue behavior at high temperature of a UDIMET 720 nickel-base superalloy, International Journal of fatigue, 32 (2010) 824-829.
[32] W. Betteridge, The properties of metallic cobalt, Progress in Materials Science, 24 (1980) 51-142.
[33] D. L. Preston, D. L. Tonks and D. C. J. J. o. A. P. Wallace, Model of plastic deformation for extreme loading conditions, 93 (2003) 211-220.
[34] H. Bhadeshia, Neural networks in materials science, ISIJ international, 39 (1999) 966-979.
[35] M. Dashtbayazi, Artificial neural network-based multiobjective optimization of mechanical alloying process for synthesizing of metal matrix nanocomposite powder, Materials and Manufacturing Processes, 27 (2012) 33-42.
[36] S. Malinov, W. Sha and J. McKeown, Modelling the correlation between processing parameters and properties in titanium alloys using artificial neural network, Computational materials science, 21 (2001) 375-394.
[37] J. Ciurana, G. Arias and T. Ozel, Neural network modeling and particle swarm optimization (PSO) of process parameters in pulsed laser micromachining of hardened AISI H13 steel, Materials and Manufacturing Processes, 24 (2009) 358-368.
[38] M. Kundu, S. Ganguly, S. Datta and P. Chattopadhyay, Simulating time temperature transformation diagram of steel using artificial neural network, Materials and Manufacturing Processes, 24 (2009) 169-173.
[39] A. He, G. Xie, X. Yang, X. Wang and H. Zhang, A physically-based constitutive model for a nitrogen alloyed ultralow carbon stainless steel, Computational Materials Science, 98 (2015) 64-69.
[40] S. Mandal, P. Sivaprasad, P. Barat and B. Raj, An overview of neural network based modeling in alloy design and thermomechanical processing of austenitic stainless steels, Materials and Manufacturing Processes, 24 (2009) 219-224.
[41] Y. Qin, Q. Pan, Y. He, W. Li, X. Liu and X. Fan, Artificial neural network modeling to evaluate and predict the deformation behavior of ZK60 magnesium alloy during hot compression, Materials and Manufacturing Processes, 25 (2010) 539-545.
[42] S. Aliakbari Sani, H. Arabi, S. Kheirandish. and G. R. Ebrahimi, An Investigation on the Homogenization Treatment and Elements Segregation on the Microstructure of a γ/γ/ Cobalt Based Superalloy, International Journal of Minerals, Metallurgy and Materials, Accepted.
[43] M. Durand-Charre, The microstructure of superalloys, Routledge, 2017.
[44] H. McQueen and N. Ryan, Constitutive analysis in hot working, Materials Science and Engineering: A, 322 (2002) 43-63.
[45] A. Rollett, F. Humphreys, G. S. Rohrer and M. Hatherly, Recrystallization and related annealing phenomena, Elsevier, 2004.
[46] L. Liu and H. Ding, Study of the plastic flow behaviors of AZ91 magnesium alloy during thermomechanical processes, Journal of Alloys and Compounds, 484 (2009) 949-956.
[47] C. E. Campbell, W. J. Boettinger and U. R. Kattner, Development of a diffusion mobility database for Ni-base superalloys, Acta Materialia, 50 (2002) 775-792.
[48] M. Jahangiri, H. Arabi and S. Boutorabi, High-temperature compression behavior of cast and homogenized IN939 superalloy, Metallurgical and Materials Transactions A, 44 (2013) 1827-1841.
[49] A. Chamanfar, M. Jahazi, J. Gholipour, P. Wanjara and S. Yue, Evolution of flow stress and microstructure during isothermal compression of Waspaloy, Materials Science and Engineering: A, 615 (2014) 497-510.
[50] A. Momeni, S. Abbasi, M. Morakabati, H. Badri and X. Wang, Dynamic recrystallization behavior and constitutive analysis of Incoloy 901 under hot working condition, Materials Science and Engineering: A, 615 (2014) 51-60.
[51] S. A. Sani, A. Khorram, A. Jaffari and G. J. R. M. Ebrahimi, Development of processing map for InX-750 superalloy using hyperbolic sinus equation and ANN model, 1-10.
[52] C. Sun, J. Liu, R. Li, Q. Zhang and J. J. R. M. Dong, Constitutive relationship of IN690 superalloy by using uniaxial compression tests, 30 (2011) 81-86.
[53] H. Monajati, A. Taheri, M. Jahazi and S. Yue, Deformation characteristics of isothermally forged UDIMET 720 nickel-base superalloy, Metallurgical and Materials Transactions A, 36 (2005) 895-905.
[54] F. Zhong, Y. Yu, S. Li, J. J. M. S. Sha and E. A, In-situ SEM and TEM tensile observations of novel Co-Al-W-Mo-Ta-B-Ce alloys with a coherent γ-CoSS/γ’-Co3 (Al, W) microstructure at room temperature, 696 (2017) 96-103.
[55] X. Lv, F. Sun, J. Tong, Q. Feng, J. J. J. o. M. E. Zhang and Performance, Paired dislocations and their interactions with γ′ particles in polycrystalline superalloy GH4037, 24 (2015) 143-148.
[56] S. A. Sani, H. Arabi and G. R. Ebrahimi, Hot deformation behavior and DRX mechanism in a γ-γ/ Cobalt base superalloy, Materials Science and Engineering: A, submitted.
[57] Y. Ning, Z. Yao, X. Liang and Y. Liu, Flow behavior and constitutive model for Ni–20.0 Cr–2.5 Ti–1.5 Nb–1.0 Al superalloy compressed below γ′-transus temperature, Materials Science and Engineering: A, 551 (2012) 7-12.
[58] Y. Sun, W. Zeng, X. Ma, B. Xu, X. Liang and J. Zhang, A hybrid approach for processing parameters optimization of Ti-22Al-25Nb alloy during hot deformation using artificial neural network and genetic algorithm, Intermetallics, 19 (2011) 1014-1019.