Abstract
Isothermal compression tests are conducted using a thermomechanical simulator at a constant strain rate during deformation temperature range of 850 to 950 °C and strain rate range of 0.001-10 \({s}^{-1}\) to study the flow behavior of Ti17 alloy with initial basketweave microstructure in \(\beta \) forging process. The strain rate sensitivity exponent m and strain hardening exponent n are calculated, and the strain-compensated constitutive model of flow stress using hyperbolic sine-based Arrhenius model is constructed. The results show that the strain rate sensitivity exponent m is greater than 0.3 when the strain rate is low in the range of 0.001-0.01 \({s}^{-1}\), and reaches its maximum at 900 °C; the component is less than 0.3 at high strain rate range of 0.1-10 \({s}^{-1}\), and it is slightly lower at 850-900 °C compared with at 920-950 °C. The strain hardening exponent n monotonously decreases with the increase in true strain at strain rate of 0.001 \({s}^{-1}\), while for strain rate in the range of 0.01-10 \({s}^{-1}\), it decreases with the increase in strain when the true strain is less than 0.3 but does not show significant change when the true strain is greater than 0.3. The established strain-compensated flow stress constitutive model has high prediction accuracy with average absolute relative error (AARE) of 5.32% and correlation parameter R of 0.993. The model can thus be used to provide theoretical guidance for selecting \(\beta \) forging process parameters, and also provide the basic data for finite element simulation of \(\beta \) forging process of Ti17 alloy.
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References
C. Leyns, M: Peters (Eds.), Titanium and Titanium Alloys, Wiley-VCH GmbH & Co. KgaA, Weinheim, 2003, p 333-350
E. Ghasemi, A. Zarei-Hanzaki, E. Farabi, K. Tesar, A. Jager and M. Rezaee, Flow softening and dynamic recrystallization behavior of BT19 titanium alloy: a study using process map development, J. Alloys Compd., 2017, 695, p 1706–1718.
R. Boyer, G. Welsch, E.W. Collings, in: S. Lampman (Ed.), Materials Properties Handbook: Titanium Alloys, first ed., ASM International Materials Park, 1994, p 453-464
X.C. Yin, J.R. Liu, Q.J. Wang and L. Wang, Investigation of beta fleck formation in Ti-17 alloy by directional solidification method, journal of materials science and technology, J. Mater. Sci. Technol., 2020, 48, p 36–43.
J. Luo, L. Li and M.Q. Li, The flow behavior and processing maps during the isothermal compression of Ti17 alloy, Mater. Sci. Eng. A, 2014, 606, p 165–174.
Y. Alshammari, M. Jia, F. Yang and L. Bolzoni, The effect of α+ β forging on the mechanical properties and microstructure of binary titanium alloys produced via a cost-effective powder metallurgy route, Mater. Sci. Eng. A, 2020, 769, p 138496.
Y.G. Zhou, W.D. Zeng and H.Q. Yu, A new high-temperature deformation strengthening and toughening process for titanium alloys, Mater, 1996, 221, p 58–62.
H.M. Flower, Microstructural development in relation to hot working of titanium alloys, Mater. Sci. Tech., 1990, 6, p 1082–1092.
Y. Combres and B. Champin, Titanium alloys processing: state of the art and prospects, Mater. Technol., 1991, 79, p 31–41.
K.D. Lisa, T. Schmoelzer, K. Yan, M. Reid, M. Peel, R. Dippenaar and H. Clemens, In situ study of dynamic recrystallization and hot deformation behavior of a multiphase titanium aluminide alloy, J. Appl. Phys., 2009, 106, p 113526.
J. Luo, P. Ye, W.C. Han and M.Q. Li, Microstructure evolution and its effect on flow stress of TC17 alloy during deformation in α+β two-phase region, Trans. Nonferrous Met. Soc. China, 2019, 29, p 1430–1438.
J.L. Liu, W.D. Zeng, Y.J. Lai and Z.Q. Jia, Constitutive model of Ti17 titanium alloy with lamellar-type initial microstructure during hot deformation based on orthogonal analysis, Mater. Sci. Eng. A, 2014, 597, p 387–394.
L. Li and M.Q. Li, Constitutive model and optimal processing parameters of TC17 alloy with a transformed microstructure via kinetic analysis and processing maps, Mater. Sci. Eng. A, 2017, 698, p 302–312.
J.Z. Sun, M.Q. Li and H. Li, Deformation behavior of TC17 titanium alloy with basketweave microstructure during isothermal compression, J. Alloys Compd., 2018, 730, p 533–543.
K. Yamanaka, H. Matsumoto and A. Chiba, A constitutive model and processing maps describing the high-temperature deformation behavior of Ti-17 Alloy in the β-Phase field, Adv. Eng. Mater., 2019, 21, p 1–8.
Y.W. Xiao, Y.C. Lin, Y.Q. Jiang, X.Y. Zhang, G.D. Pang, D. Wang, and K.C. Zhou, A Dislocation Density-Based Model and Processing Maps of Ti-55511 Alloy with Bimodal Microstructures during Hot Compression in Α+β Region, Mater. Sci. Eng. A, Elsevier B.V., 2020, 790(June), p 139692
A. Momeni, S.M. Abbasi, M. Morakabati and S.M. , Ghazi Mirsaed, flow softening behavior of Ti-13V-11Cr-3Al Beta ti alloy in double-hit hot compression tests, J. Mater. Res., 2016, 31(24), p 3900–3906.
Y.C. Lin, Y.W. Xiao, Y.Q. Jiang, G.D. Pang, H. Bin Li, X.Y. Zhang, and K.C. Zhou, Spheroidization and Dynamic Recrystallization Mechanisms of Ti-55511 Alloy with Bimodal Microstructures during Hot Compression in Α+β Region, Mater. Sci. Eng. A, Elsevier B.V., 2020, 782(January), p 139282
Y.C. Lin, J. Huang, D.G. He, X.Y. Zhang, Q. Wu, L.H. Wang, C. Chen, and K.C. Zhou, Phase Transformation and Dynamic Recrystallization Behaviors in a Ti55511 Titanium Alloy during Hot Compression, J. Alloys Compd., Elsevier B.V, 2019, 795, p 471–482
Y.C. Lin, Y. Tang, Y.Q. Jiang, J. Chen, D. Wang and D.G. He, Precipitation of secondary phase and phase transformation behavior of a solution-treated Ti–6Al–4V alloy during high-temperature aging, Adv. Eng. Mater., 2020, 22(5), p 1–6.
Xu. Jianwei, W. Zeng, D. Zhou, H. Ma, S. He and W. Chen, Analysis of flow softening during hot deformation of Ti-17 alloy with the lamellar structure, J. Alloys Compd., 2018, 767, p 285–292.
Y.Q. Jiang, Y.C. Lin, G.Q. Wang, G.D. Pang, M.S. Chen, and Z.C. Huang, Microstructure Evolution and a Unified Constitutive Model for a Ti-55511 Alloy Deformed in β Region, J. Alloys Compd., Elsevier, 2021, 870, p 159534
C. Poletti, L. Germain, F. Warchomicka, M. Dikovits and S. Mitsche, Unified description of the softening behavior of beta-metastable and alpha+beta titanium alloys during hot deformation, Mater. Sci. Eng. A, 2016, 651, p 280–290.
V. V. Balasubrahmanyam, Y. V. R. K. Prasad, Deformation behaviour of beta titanium alloy Ti–10V–4.5Fe–1.5Al in hot upset forging, Mater. Sci. Eng. A, 2002, 336, p 150-158
X.G. Fan, Y. Zhang, P.F. Gao, Z.N. Lei and M. Zhan, Deformation behavior and microstructure evolution during hot working of a coarse-grained Ti-5Al-5Mo-5V-3Cr-1Zr titanium alloy in beta phase field, Mater. Sci. Eng. A, 2017, 694, p 24–32.
W.A. Backofen, I.R. Turner and D.H. Avery, Superplasticity in an Al-Zn Alloy, Trans. ASM, 1964, 57, p 980–990.
M.F. Ashby and R.A. Verrall, Diffusion-accommodated flow and superplasticity, Acta Metall., 1973, 21, p 149–163.
A. Ball and M.M. Hutchison, Superplasticity in the aluminium-zinc eutectoid, Met. Sci. J., 1969, 3, p 1–7.
A. Arieli and A.K. Mukherjee, A model for rate-controlling mechanism in superplasticity, Mater. Sci. Eng. A, 1980, 45, p 61–70.
S.S. Sohn, D.G. Kim, Y.H. Jo, A.K. da Silva, W. Lu, A.J. Breen, B. Gault and D. Ponge, A physically-based constitutive model for hot deformation of Ti-10-2-3 alloy, Acta Metall., 2020, 194, p 106–117.
M.A. Nazzal, M.K. Khraisheh and F.K. Abu-Farha, The effect of strain rate sensitivity evolution on deformation stability during superplastic forming, J. Mater. Process. Tech., 2007, 191, p 189–192.
Z.H. Xu, M.Q. Li and H. Li, Plastic flow behavior of superalloy GH696 during hot deformation, Trans. Nonferrous Met. Soc. China, 2016, 26, p 712–721.
H.P. Stuwe and P. Les, Strain rate sensitivity of flow stress at large strains, Acta Metall., 1998, 46, p 6375–6380.
P. Ludwik, Elemente der technologischen mechanik, Springer-Verlag OHG, Berlin 1909, p 31-35, in German
R. Evans and P. Scharning, Axisymmetric compression test and hot working properties of alloys, Mater. Sci. Tech., 2001, 17, p 995–1004.
A. Malik, Y. Wang, H. Cheng, F. Nazeer, M.A. Khan and M. Wang, A physically-based constitutive model for hot deformation of Ti-10-2-3 alloy, Vacuum, 2019, 168, p 108810.
C.M. Sellars and W.J. Mctrgart, On the mechanism of hot deformation, Acta Metall., 1966, 14, p 1136–1138.
C. Zener and J.H. Hollomon, Effect of strain rate upon plastic flow of steel, J. Appl. Phys., 1944, 15, p 22–32.
Z. Guo, A.P. Miodownik, N. Saunders, J-Ph. Schille, Influence of stacking-fault energy on high temperature creep of alpha titanium alloys, Scr. Mater., 2006, 54, p 2175–2178
P. Wanjaraa, M. Jahazia, H. Monajatib, S. Yueb and J.-P. Immarigeona, Hot working behavior of near-alloy IMI834, Mater. Sci. Eng. A, 2005, 396, p 50–60.
S. Wang, J.R. Luo, L.G. Hou, J.S. Zhang and L.Z. Zhuang, Physically based constitutive analysis and microstructural evolution of AA7050 aluminum alloy during hot compression, Mater. Des., 2016, 107, p 277–289.
T. Furuhara, B. Poorganji, H. Abe and T. Maki, Dynamic recovery and recrystallization in titanium alloys by hot deformation, JOM, 2007, 59, p 64–67.
D. Samantaray, C. Phaniraj, S. Mandal and A.K. Bhaduri, Strain dependent rate equation to predict elevated temperature flow behavior of modified 9Cr-1Mo (P91) steel, Mater. Sci. Eng. A, 2011, 528, p 7071–7077.
R. Bobbili, B. Venkata Ramudu and V. Madhu, A physically-based constitutive model for hot deformation of Ti-10-2-3 alloy, J. Alloys Compd., 2017, 6965, p 295–303.
Y.C. Lin, M.S. Chen and J. Zhong, Constitutive Modeling for Elevated Temperature Flow Behavior of 42CrMo Steel, Comput. Mater. Sci., 2008, 42(3), p 470–477.
Y.C. Lin, J. Huang, H. Bin Li and D.D. Chen, Phase transformation and constitutive models of a hot compressed TC18 titanium alloy in the Α+β regime, Vacuum, Elsevier, 2018, 157, p 83–91.
F. Pilehva, A. Zarei-Hanzaki, M. Ghambari and H.R. Abedi, Flow behavior modeling of a Ti-6Al-7Nb biomedical alloy during manufacturing at elevated temperatures, Mater. Des, Elsevier Ltd, 2013, 51, p 457–465.
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Lu, C., Wang, J. & Zhang, P. Flow Behavior Analysis and Flow Stress Modeling of Ti17 Alloy in \({\varvec{\beta}}\) Forging Process. J. of Materi Eng and Perform 30, 7668–7681 (2021). https://doi.org/10.1007/s11665-021-05910-1
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DOI: https://doi.org/10.1007/s11665-021-05910-1