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Research on hot deformation behavior and constitutive relation of diffusion bonded TC4 titanium alloy

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Abstract

To characterize the forming technology and service performance of diffusion bonded TC4 titanium alloy under high temperature, the isothermal constant strain rate tensile experimental were carried out at temperature 600–840 °C and strain rate 0.0001–0.1 s−1. The thermal deformation behavior of high temperature tensile was analyzed. On the basis of strain compensation of Arrhenius constitutive, physically-based constitutive and PSO-BP neural network constitutive model were used to predict the high temperature flow behavior. Finally, the prediction accuracy of the three constitutive models were evaluated by cross-validation method. The conclusion show that the true stress–strain curves of diffusion bonded TC4 alloy are coordinated by temperature and strain. According to the nonlinear fitting results and thirty-five cross-validation tests indicate that the PSO-BP model can provide the most accurate prediction for diffusion bonded TC4 alloy hot deformation behavior, and the value of correlation coefficient (R) and average relative error (ARE) for the PSO-BP neural network model were 0.998 and 3.2%. In addition, as revealed by micrographs, spheroidization appeared at lower temperature (600–760 °C) and strain rate (0.01 s−1), while the fraction of lamina secondary α phase decreased. At the same time, dynamic recrystallization and superplasticity began to occur of α phase at higher temperature (760–840 °C) and lower strain rate (0.0001 s−1).

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References

  1. Aufa AN, Hassan MZ, Ismail Z (2021) Recent advances in Ti-6Al-4V additively manufactured by selective laser melting for biomedical implants: prospect development. J Alloy Compd 896:163072

    Article  Google Scholar 

  2. Wan P, Gao P, Wang M et al (2022) Research on hot deformation, dynamic recrystallization and numerical simulation of Fe-28Mn-10Al-1.5C-0.6V steel. J Mater Sci 57:16930–16947. https://doi.org/10.1007/s10853-022-07692-w

    Article  CAS  Google Scholar 

  3. Zhao YQ, Sun QY, Xin SW et al (2022) High-strength titanium alloys for aerospace engineering applications: a review on melting-forging process. Mater Sci Eng A 865:143260

    Article  Google Scholar 

  4. Alexander J, Stefan E, Aude P et al (2022) In-situ high-temperature EBSD characterization during a solution heat treatment of hot-rolled Ti-6Al-4V. Mater Charact 192:112207

    Article  Google Scholar 

  5. Zhao E, Sun S, Zhang Y (2021) Recent advances in silicon containing high temperature titanium alloys. J Mater Res Technol 14:3029–3042

    Article  CAS  Google Scholar 

  6. Cheng C, Feng Y, Chen Z et al (2021) Effect of annealing temperature on microstructure, texture and tensile properties of TA32 sheet. Mater Sci Eng A 826:141971

    Article  CAS  Google Scholar 

  7. Gheysarian A, Abbasi M (2017) The effect of aging on microstructure, formability and springback of Ti-6Al-4V titanium alloy. J Materi Eng and Perform 26:374–382

    Article  CAS  Google Scholar 

  8. Zhang XS, Chen YJ, Hu JL (2018) Recent advances in the development of aerospace materials. Prog Aerosp Sci 97:22–34

    Article  Google Scholar 

  9. Wu B, Dong H, Li P et al (2022) Vacuum diffusion bonding of TC4 titanium alloy and T2 copper by a slow cooling heat treatment. J Mater Process Tech 305:117595

    Article  CAS  Google Scholar 

  10. Lian LA, Ls B, Ml A (2022) Diffusion bonding of dissimilar titanium alloys via surface nanocrystallization treatment. J Mater Res Technol 17:1274–1288. https://doi.org/10.1016/j.jmrt.2022.01.077

    Article  CAS  Google Scholar 

  11. Gao X, Chen S, Dong F et al (2017) Diffusion bonding of Ti/Ni under the influence of an electric current: mechanism and bond structure. J Mater Sci 52:3535–3544

    Article  CAS  Google Scholar 

  12. Zhang H, Li JL, Ma PY et al (2018) Study on microstructure and impact toughness of TC4 titanium alloy diffusion bonding joint. Vacuum 152:272–277

    Article  CAS  Google Scholar 

  13. Li H, Sun X, Yang H (2016) A three-dimensional cellular automata-crystal plasticity finite element model for predicting the multiscale interaction among heterogeneous deformation, DRX microstructural evolution and mechanical responses in titanium alloys. Int J Plasticity 87:154–180

    Article  CAS  Google Scholar 

  14. Chen F, Tian X, Wu G et al (2022) Coupled quantitative modeling of microstructural evolution and plastic flow during continuous dynamic recrystallization. Int J Plasticity 156:103372

    Article  CAS  Google Scholar 

  15. Qiu JW, Liu Y, Liu B et al (2012) Optimizing the hot-forging process parameters for connecting rods made of PM titanium alloy. J Mater Sci 47:3837–3848

    Article  CAS  Google Scholar 

  16. Crl A, Jgg B, Oea A et al (2022) Effects of helium cavity size and morphology on the strength of pure titanium. Scripta Mater 212:114531

    Article  Google Scholar 

  17. Wang K, Song K, Zhao J et al (2022) Physically-based constitutive models for hot gas pressure forming of laserbonding titanium alloy blank. J Manuf Process 82:501–515

    Article  Google Scholar 

  18. Sun Z, Yang H, Tang Z (2010) Microstructural evolution model of TA15 titanium alloy based on BP neural network method and application in isothermal deformation. Comp Mater Sci 50:308–318

    Article  CAS  Google Scholar 

  19. Zhu FH, Xiong W, Li XF et al (2018) A new flow stress model based on Arrhenius equation to track hardening and softening behaviors of Ti6Al4V alloy. Rare Met 37:1035–1045

    Article  CAS  Google Scholar 

  20. Long S, Xia YF, Wang P et al (2019) Constitutive modelling, dynamic globularization behavior and processing map for Ti-6Cr-5Mo-5V-4Al alloy during hot deformation. J Alloy Compd 796:65–76

    Article  CAS  Google Scholar 

  21. Jose MC, Anas AO, Jose MP et al (1997) Modeling the flow behavior of a medium carbon microalloyed steel under hot working conditions. Metal Mater Trans A 28:2233–2244

    Article  Google Scholar 

  22. Wang S, Luo JR, Hou LG et al (2016) Physically based constitutive analysis and microstructural evolution of AA7050 aluminum alloy during hot compression. Mater des 107:277–289

    Article  CAS  Google Scholar 

  23. Zhang MH, Liu GQ, Wei HL (2014) Physically based constitutive analysis to predict flow stress of medium carbon and vanadium microalloyed steels. Mat Sci Eng A-Struct 602:127–133

    Article  Google Scholar 

  24. Lu C, Shi J, Wang J (2021) Physically based constitutive modeling for Ti17 alloy with original basketweave microstructure in β forging: A comparison of three approaches. Mater Charact 181:111455

    Article  CAS  Google Scholar 

  25. Matsumoto H, Tadokoro D, Sechepee I (2021) Strength and ductility balance of a Ti-5Al-2Sn-2Zr-4Cr-4Mo (Ti-17) alloy with various microstructures: experiment and machine learning. ISIJ Int 61:2844–2854

    Article  CAS  Google Scholar 

  26. Montenegro C, Abolghasem S, Osorio-Pinzon JC et al (2020) Microstructure prediction in low and high strain deformation of Al6063 using artificial neural network and finite element simulation. Int J Adv Manuf Tech 106:2101–2117

    Article  Google Scholar 

  27. Shen Z, Wu R, Yuan C et al (2020) Comparative study of metamodeling methods for modeling the constitutive relationships of the TC6 titanium alloy. J Mater Res Technol 10:188–204

    Article  Google Scholar 

  28. Ashtiani H, Shahsavari P (2016) A comparative study on the phenomenological and artificial neural network models to predict hot deformation behavior of AlCuMgPb alloy. J Alloy Compd 687:263–273

    Article  CAS  Google Scholar 

  29. Zhou Z, Gong H, You J et al (2021) Research on compression deformation behavior of aging AA6082 aluminum alloy based on strain compensation constitutive equation and PSO-BP network model. Mater Today Commun 28:102507

    Article  CAS  Google Scholar 

  30. Wan P, Zou H, Wang K et al (2020) Research on hot deformation behavior of Zr-4 alloy based on PSO-BP artificial neural network. J Alloy Compd 826:154047

    Article  CAS  Google Scholar 

  31. Feng R, Bao Y, Ding Y et al (2022) Three different mathematical models to predict the hot deformation behavior of TA32 titanium alloy. J Mater Res 37:1309–1322

    Article  CAS  Google Scholar 

  32. Jiang YQ, Lin YC, Wang GQ et al (2021) Microstructure evolution and a unified constitutive model for a Ti-55511 alloy deformed in β region. J Alloy Compd 870:159534

    Article  CAS  Google Scholar 

  33. Liu H, Li Y, Zhang K et al (2020) Microstructure, hot deformation behavior, and textural evolution of Mg-3wt%Zn-1wt%Ca-0.5wt%Sr alloy. J Mater Sci 55:12434–12447

    Article  CAS  Google Scholar 

  34. Tabassam Y, Salaheddin R, Christopher H et al (2022) Unravelling thermal-mechanical effects on microstructure evolution under superplastic forming conditions in a near alpha titanium alloy. J Mater Res Technol 18:4285–4302

    Article  Google Scholar 

  35. Lee WS, Lin MT (1997) The effects of strain rate and temperature on the compressive deformation behaviour of Ti-6Al-4V alloy. J Mater Process Tech 71:235–246

    Article  Google Scholar 

  36. Sellars CM, Tegart MJM (1966) La relation entre la resistance et la structure dans le deformation a chaud. Mem Sci Rev Metall 63:731–746

    CAS  Google Scholar 

  37. Zhu H, Ou H (2022) Constitutive modelling of hot deformation behaviour of metallic materials. Mater Sci Eng A 832:142473

    Article  CAS  Google Scholar 

  38. Zener C, Hollomon JH (1944) Effort of strain rate upon plastic flow of steel. J Appl Phys 15:22–32

    Article  Google Scholar 

  39. Liu S, Pan Q, Li H et al (2019) Characterization of hot deformation behavior and constitutive modeling of Al–Mg–Si–Mn–Cr alloy. J Mater Sci 54:4366–4383

    Article  CAS  Google Scholar 

  40. Che B, Lu L, Kang W et al (2021) Hot deformation behavior and processing map of a new type Mg-6Zn-1Gd-1Er alloy. J Alloy Compd 862:158700

    Article  CAS  Google Scholar 

  41. Frost HJ, Ashby MF (1982) Deformation-mechanism maps: The plasticity and creep of metals and ceramics. Pergamon Press, Oxford

    Google Scholar 

  42. Zhao Z (2009) Prediction and research on network traffic based on PSO-BP neural network. Comput App Software 26:218–221

    Google Scholar 

  43. Li B, Tian X (2021) An effective PSO-LSSVM-based approach for surface roughness prediction in high-speed precision milling. IEEE Access 41:1589–1609

    Google Scholar 

  44. Shi SX, Liu XS, Zhang XY et al (2021) Comparison of flow behaviors of near beta Ti-55511 alloy during hot compression based on SCA and BPANN models. T Nonferr Metal Soc 31:1665–1679

    Article  CAS  Google Scholar 

  45. Mosleh AO, Mestre-Rinn P, Khalil AM et al (2019) Modelling approach for predicting the superplastic deformation behaviour of titanium alloys with strain hardening/softening characterizations. Mater Res Express 7:016504

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the Aviation Engine Independent Innovation Special Foundation of China (ZZCX-2018-031).

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Correspondence to Minghe Chen.

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Feng, R., Chen, M., Xie, L. et al. Research on hot deformation behavior and constitutive relation of diffusion bonded TC4 titanium alloy. J Mater Sci 57, 21777–21797 (2022). https://doi.org/10.1007/s10853-022-07977-0

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