Probabilistic Risk Assessment for Life Extension of Turbine Engine Rotors
Abstract
:1. Introduction
2. Fatigue Life Models
2.1. Fatigue Initiation Model
2.2. Fatigue Crack Growth Model
3. Probabilistic Fatigue Framework
Fatigue Anomaly Distribution
4. Application of an α + β Alloy
5. Applicability in Turbine Rotor Analysis
5.1. Finite Element Model
5.2. Risk Assessment
6. Discussion
7. Conclusions
- Superposition of crack growth and initiation life was able to predict fatigue lifetime at high stress. Fatigue life at lower stresses is controlled by the combination of crack growth and mean-dominating behavior governed by crack initiation.
- The probability of failure is sensitive to material properties (e.g., grain size) and the crack size at initiation.
- Short fatigue crack growth models are necessary to reduce non-conservative life predictions.
- The purposed probabilistic method can prove to be very useful for predicting initial crack distribution for lifetime predictions, which can further be used to establish an enhanced inspection planning.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Initiation Model | ||||
---|---|---|---|---|
Variable | Description | Units | Mean | Stad. Deviation |
D | Grain Size | μm | 13.7 | 4.4 |
M | Taylor Factor | - | 2 | - |
λ | Universal Constant | - | 0.005 | - |
μ | Shear Modulus | MPa | 4.40 × 10−4 | - |
ν | Poisson Ratio | - | 0.333 | - |
Δσe | Endurance Limit | MPa | 490 | 10 |
α | Life Exponent | - | 0.6 | - |
h | Slipband Width | μm | 5.0 × 10−2 | - |
Propagation Model | ||||
C1 | Bilinear Constant (Short) | SI | 1.72 × 10−9 | 7.0 × 10−10 |
n1 | Bilinear Exponent (Short) | - | 1.85 | - |
C2 | Bilinear Constant (Long) | SI | 1.02 × 10−11 | 4.5 × 10−12 |
n2 | Bilinear Exponent (Long) | - | 3.84 | - |
Long Crack Threshold | 10 | 0.7 | ||
Kc | Fracture Toughness | 67 | - | |
R | Stress Ratio | - | 0.1 | - |
Density | 4564.35 Kg/m3 |
Poisson’s Ratio | 0.31 |
Young’s Modulus | 116,500 MPa |
Yield strength | 834.2 MPa |
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Carter, J.A.; Goswami, T. Probabilistic Risk Assessment for Life Extension of Turbine Engine Rotors. Metals 2022, 12, 1269. https://doi.org/10.3390/met12081269
Carter JA, Goswami T. Probabilistic Risk Assessment for Life Extension of Turbine Engine Rotors. Metals. 2022; 12(8):1269. https://doi.org/10.3390/met12081269
Chicago/Turabian StyleCarter, Jace A., and Tarun Goswami. 2022. "Probabilistic Risk Assessment for Life Extension of Turbine Engine Rotors" Metals 12, no. 8: 1269. https://doi.org/10.3390/met12081269