Abstract
Creep is one of the important failure mechanisms of structures operating in high-temperature environments, so accurately assessing the creep properties of materials is essential to structural design and analysis. However, most of the creep researches, there is no uniform method to accurately describe the creep deformation and life. On the basis of previous studies, this paper replaceed the nominal stress in the traditional creep model with the normalized stress of tensile strength and obtains a new constitutive model capable of describing the whole process of creep. It is also applied to the evaluation of creep properties of TC11 titanium alloy at 500 °C. The parameters of different creep constitutive models are obtained by fitting experimental data, including 0-projection model, Batsoulas model, CDM model and proposed model. The advantages and disadvantages of different models are also analysed. In addition, the improvement of the new constitutive model is also discussed.
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Abbreviations
- ai, bi :
-
Material constants of θ-projection model
- A, n* :
-
Norton creep parameters
- A*,B,C*,D,h,H*,kc :
-
Material constants of CDM model
- A’ :
-
Coefficient of Norton equation after stress normalization
- A i :
-
Coefficients of assumed equation for creep performance parameters
- c i :
-
Material constants of proposed model
- C, γ :
-
McVetty creep parameters
- Cmg, λ:
-
Parameters of Monkman-Grant relationship
- H, H(.):
-
Variables for describing the strain hardening effect in the first stage of creep and its rate of CDM model
- k, I, m, n, p, q :
-
Material constants of Batsoulas model
- k1, k2, u, u :
-
Parameters of Wilshire equation
- K,η,α:
-
Variables for temperature and stress of Batsoulas model
- Q, Q* c :
-
Parameters related to material activation energy
- R:
-
Gas constant
- t :
-
Time
- tf tm :
-
Creep rupture life and lifetime at minimum creep rate
- T:
-
Temperature
- β, δ, µ:
-
Variables for temperature and stress of proposed model
- ε c :
-
Creep strain
- εc0, εcm :
-
Initial creep rate and minimum creep rate
- ζ:
-
Material constant related to creep life of proposed model
- Θi :
-
Variables for temperature and stress of θ-projection model
- σ, σ TS :
-
Stress and tensile strength of materials
- Φ, 03A6;̄:
-
Variables describing the coarsening of the carbide precipitates of CDM model and its rate
- ω ω̄:
-
Variables represents the inter-granular creep constrained cavitation damage of CDM model and its rate
- ωf :
-
Critical value of ω
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Acknowledgments
This work was supported by the National Science and Technology Major Project (2017-IV-0012-0049), China.
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Wenming Ye is currently a Ph.D. candidate at College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. He received his B.S. in Aircraft Power Engineering from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2014. His research interests include creep property and life prediction in aero-engine materials and structures.
Xuteng Hu is currently a Lecturer at College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. His research interests include deformation, fracture and fatigue behavior in metals and aero-engine structures, and foreign object damage in fan/compressor blades.
Yingdong Song is currently a Professor at College of Energy and Power Engineering and State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, China. His research interests include strength design, fatigue prediction and reliability analysis of aero-engine structures.
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Ye, W., Hu, X. & Song, Y. A new creep model and its application in the evaluation of creep properties of a titanium alloy at 500 °C. J Mech Sci Technol 34, 2317–2326 (2020). https://doi.org/10.1007/s12206-020-0507-7
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DOI: https://doi.org/10.1007/s12206-020-0507-7