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Hot Tensile Behavior and Self-consistent Constitutive Modeling of TA15 Titanium Alloy Sheets

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Abstract

Hot tensile behavior of TA15 sheets with bimodal microstructure was studied through tensile tests from 750 to 850 °C with an interval of 25 °C and at strain rates of 0.001, 0.01, and 0.1 s−1. Results of the tensile tests reveal that the flow stress reaches peak values at specific strains, and then softening or steady-state flow occurs. Metallographic examination of deformed specimens shows that the primary α-phase becomes equiaxed, while the secondary α-phase and the lamellar β-phase are curved until crushed, indicating that the deformation occurred mainly in the secondary α-phase and the lamellar β-phase. A self-consistent model was developed to predict the plastic flow behavior of the TA15 sheets. Model parameters were determined according to the composition contents of individual phases and the stress-strain curves. The stress-strain curves at 775 °C and at the strain rates of 0.001, 0.01, and 0.1 s−1 were predicted by the proposed model, showing good agreement with the experimental results.

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References

  1. G.S. Srinivasu and N.R. Raja, Finite Element Modeling of Stress Strain Curve and Micro Stress and Micro Strain Distributions of Titanium Alloys—A Review, J. Miner. Mater. Charact. Eng., 2012, 11, p 953–960

    Google Scholar 

  2. S. Tamirisakandala, B.V. Vedam, and R.B. Bhat, Recent Advances in the Deformation Processing of Titanium Alloys, J. Mater. Eng. Perform., 2003, 12, p 661–673

    Article  Google Scholar 

  3. A.N. Chamos, G.N. Labeas, and D. Setsika, Tensile Behavior and Formability Evaluation of Titanium-40 Material Based on the Forming Limit Diagram Approach, J. Mater. Eng. Perform., 2013, 22, p 2253–2260

    Google Scholar 

  4. D. He, J. Zhu, S. Zaefferer, and D. Raabe, Effect of Retained Beta Layer on Slip Transmission in Ti-6Al-2Zr-1Mo-1V Near Alpha Titanium Alloy During Tensile Deformation at Room Temperature, Mater. Des., 2014, 56, p 937–942

    Article  Google Scholar 

  5. X.G. Fan, H. Yang, and P.F. Gao, Deformation Behavior and Microstructure Evolution in Multistage Hot Working of TA15 Titanium Alloy: On the Role of Recrystallization, J. Mater. Sci., 2011, 46(18), p 6018–6028

    Article  Google Scholar 

  6. P. Vo, M. Jahazi, S. Yue, and P. Bocher, Flow Stress Prediction During Hot Working of Near Alpha Titanium Alloys, Mater. Sci. Eng. A, 2007, 447(1-2), p 99–110

    Article  Google Scholar 

  7. X.G. Fan and H. Yang, Internal-State-Variable Based Self-consistent Constitutive Modeling for Hot Working of Two-Phase Titanium Alloys Coupling Microstructure Evolution, Int. J. Plast., 2011, 27(11), p 1833–1852

    Article  Google Scholar 

  8. J. Xiao, D.S. Li, X.Q. Li, and T.S. Deng, Constitutive Modeling and Microstructure Change of Ti-6Al-4V During the Hot Tensile Deformation, J. Alloy. Compd., 2012, 541, p 346–352

    Article  Google Scholar 

  9. N. Kotkunde, H.N. Krishnamurthy, P. Puranik, A.K. Gupta, and S.K. Singh, Microstructure Study and Constitutive Modeling of Ti-6Al-4V Alloy at Elevated Temperatures, Mater. Des., 2014, 54, p 96–103

    Article  Google Scholar 

  10. J. Luo, M. Li, X. Li, and Y. Shi, Constitutive Model for High Temperature Deformation of Titanium Alloys Using Internal State Variables, Mech. Mater., 2010, 42(2), p 157–165

    Article  Google Scholar 

  11. J.D. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proc. R. Soc. Lond. A, 1957, 241, p 376–396

    Article  Google Scholar 

  12. Tucker, III, L. Charles, and E. Liang, Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation, Compos. Sci. Technol., 1999, 59(5), p 655–671

    Article  Google Scholar 

  13. Q. Bai, J. Lin, T.A. Dean, D.S. Balint, T. Gao, and Z. Zhang, Modelling of Dominant Softening Mechanisms for Ti-6Al-4V in Steady State Hot Forming Conditions, Mater. Sci. Eng. A, 2013, 559, p 352–358

    Article  Google Scholar 

  14. X. Li and M. Li, A Set of Microstructure-Based Constitutive Equations in Hot Forming of a Titanium Alloy, J. Univ. Sci. Technol. Beijing, 2006, 13(5), p 435–441

    Article  Google Scholar 

  15. R.C. Picu and A. Majorell, Mechanical Behavior of Ti-6Al-4V at High and Moderate Temperatures Part II: Constitutive Modeling, Mater. Sci. Eng. A, 2002, 326(2), p 306–316

    Article  Google Scholar 

  16. S.L. Semiatin, F. Montheillet, G. Shen, and J.J. Jonas, Self-consistent Modeling of the Flow Behavior of Wrought Alpha/Beta Titanium Alloys Under Isothermal and Nonisothermal Hot-Working Conditions, Metall. Mater. Trans. A, 2002, 33(8), p 2719–2728

    Article  Google Scholar 

  17. A. Paquin, H. Sabar, and M. Berveiller, Integral Formulation and Self-consistent Modelling of Elastoviscoplastic Behavior of Heterogeneous Materials, Arch. Appl. Mech., 1999, 69(1), p 14–35

    Article  Google Scholar 

  18. P.M. Suquet, Overall Potentials and External Surfaces of Power Law or Ideally Plastic Composites, J. Mech. Phys. Solids, 1993, 41(6), p 981–1002

    Article  Google Scholar 

  19. X.G. Fan, H. Yang, and P.F. Gao, Prediction of Constitutive Behavior and Microstructure Evolution in Hot Deformation of TA15 Titanium Alloy, Mater. Des., 2013, 51, p 34–42

    Article  Google Scholar 

  20. R. Hill, A Self-consistent Mechanics of Composite Materials, J. Mech. Phys. Solids, 1965, 13, p 213–222

    Article  Google Scholar 

  21. J. Liu, W. Zeng, Y. Lai, and Z. 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

    Article  Google Scholar 

  22. X. Peng, H. Guo, Z. Shi, C. Qin, and Z. Zhao, Constitutive Equations for High Temperature Flow Stress of TC4-DT Alloy Incorporating Strain, Strain Rate and Temperature, Mater. Des., 2013, 50, p 198–206

    Article  Google Scholar 

  23. H. Oikawa, K. Nishimura, and M.X. Cui, High-Temperature Deformation of Polycrystalline Beta Titanium, Scr. Mater., 1985, 19(7), p 825–828

    Google Scholar 

  24. H. Oikawa and T. Oomori, Steady State Deformation Characteristics of Alpha-Ti-Al Solid Solutions, Mater. Sci. Eng. A, 1988, A104, p 125–130

    Article  Google Scholar 

  25. H. Li, X. Wang, D. Wei, J. Hu, and Y. Li, A Comparative Study on Modified Zerilli-Armstrong, Arrhenius-Type and Artificial Neural Network Models to Predict High-Temperature Deformation Behavior in T24 Steel, Mater. Sci. Eng. A, 2012, 536, p 216–222

    Article  Google Scholar 

  26. X. Dong, S. Lu, H. Zheng, X. Li, and D. Ouyang, Cavity Nucleation During Hot Forging of Ti-6Al-2Zr-1Mo-1V Alloy with Colony Alpha Microstructure, Trans. Nonferrous Met. Soc. China, 2010, 20(12), p 2259–2264

    Article  Google Scholar 

  27. H. Zhao, B. Wang, G. Liu, L. Yang, and W. Xiao, Effect of Vacuum Annealing on Microstructure and Mechanical Properties of TA15 Titanium Alloy Sheets, Trans. Nonferrous Met. Soc. China, 2015, 25(6), p 1881–1888

    Article  Google Scholar 

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Acknowledgments

The authors acknowledge the support of the Beijing Laboratory of Metallic Materials and Processing for Modern Transportation. Helpful discussions with Prof. Jianguo Lin and Dr. Qian Bai of Imperial College and Dr. Kehuan Wang and Yong Wu of Harbin Institute of Technology are also greatly appreciated.

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing, 100083, China

    Lei Yang, Baoyu Wang, Huijun Zhao & Jing Zhou

  2. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Gang Liu

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  1. Lei Yang
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  2. Baoyu Wang
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  3. Gang Liu
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Correspondence to Baoyu Wang.

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Yang, L., Wang, B., Liu, G. et al. Hot Tensile Behavior and Self-consistent Constitutive Modeling of TA15 Titanium Alloy Sheets. J. of Materi Eng and Perform 24, 4647–4655 (2015). https://doi.org/10.1007/s11665-015-1784-7

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  • DOI: https://doi.org/10.1007/s11665-015-1784-7

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