A Fatigue Life Prediction Method Based on Strain Intensity Factor
Abstract
:1. Introduction
2. Methodology
2.1. The Basic Concept of the Strain Intensity Factor
2.2. The Fatigue Life Prediction Model
3. Validation and Comparison
3.1. Life Prediction for the 316 Austenitic Stainless Steel Specimens
3.2. Life Prediction for Extruded AZ31 Magnesium Alloy Specimens
4. Conclusions
- (1)
- A strain-intensity-factor-based crack growth model is proposed in this paper and a theoretical analysis has been provided to explicate the strain intensity factor as a driving parameter under the symmetrical cyclic loading. The experimental data in 316 austenitic stainless steel and AZ31 magnesium alloy are used for model validation and good agreements are observed. The slight differences between our model predictions and the experimental data are probably induced by the fitting errors of the calibrated coefficients. Additionally, the SIF-based method is also adopted for comparison. Next, some conclusions are summarized: A transformation algorithm between the SIF and the strain intensity factor is developed and validated by the fatigue testing data of 316 austenitic stainless steel and AZ31 magnesium alloy. It is clear that the dispersity of the crack growth rate vs. the strain intensity factor is lower than that vs. the SIF for different load ranges, which reveals that the strain intensity factor could be a better parameter than the stress intensity factor under the fully reversed load condition.
- (2)
- Based on the strain intensity factor, a fatigue life prediction method is developed, in which the modified EIFS is employed. Then, the SIF-based method and experimental data are used in comparison with our model. It is clear that our proposed method matches the testing data much better than the SIF-based one.
- (3)
- The current study is performed under the fully reversed loading and for only two materials. In the future, the research will be extended to the asymmetric loading condition and other mental materials.
Acknowledgments
Author Contributions
Conflicts of Interest
Nomenclature
Crack size/length | |
Critical crack size/length | |
Initial crack size | |
Young’s modulus | |
Equivalent initial flaw size | |
LEFM | Linear elastic fracture mechanics |
ΔK | Stress intensity factor range |
Kc | Critical stress intensity factor |
Kmax | Maximum stress intensity factor |
ΔKth | Threshold stress intensity factor range |
ΔKε | Strain intensity factor range |
ΔKεth | Threshold strain intensity factor range |
Cyclic strength coefficient | |
Cyclic strain hardening coefficient | |
Stress ratio | |
SIF | Stress intensity factor |
The geometrical coefficient | |
ε | Strain |
ε−1 | Fatigue limit strain |
εe | Elastic strain |
εp | Plastic strain |
σ | Stress |
σ−1 | Fatigue limit |
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0.2% Proof Strength/Yield Stress | Young’s Modulus | Poisson’s Ratio | Cyclic Strength Coefficient | Cyclic Strain Hardening Coefficient | Applied Loading |
---|---|---|---|---|---|
297 MPa | 202.5 GPa | 0.3 | 691 | 0.154 | 200 MPa |
Constitutive Relationships | Linear Elastic and Perfect Plastic | Nonlinear Cyclic Stress-Strain Relationship | Relative Difference |
---|---|---|---|
Remote Strain (%) | 0.098 | 0.131 | 25.2% |
Maximum Local Strain at the Crack Tip | 0.1431 | 0.2100 | 31.9% |
C | Mn | P | S | Si | Cr | Mo | Ni | Fe |
---|---|---|---|---|---|---|---|---|
0.06 | 1.30 | 0.031 | 0.027 | 0.50 | 16.94 | 2.02 | 10.18 | Bal. |
Al | Zn | Mn | Fe | Ni | Cu | Si | Ca | Mg |
---|---|---|---|---|---|---|---|---|
2.98 | 0.97 | 0.004 | 0.007 | 0.005 | 0.002 | 0.02 | 0.05 | Bal. |
Yield Strength | Young’s Modulus | Cyclic Strength Coefficient | Cyclic Strain Hardening Coefficient |
---|---|---|---|
200 MPa | 45 GPa | 1976 | 0.34 |
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Zhang, W.; Liu, H.; Wang, Q.; He, J. A Fatigue Life Prediction Method Based on Strain Intensity Factor. Materials 2017, 10, 689. https://doi.org/10.3390/ma10070689
Zhang W, Liu H, Wang Q, He J. A Fatigue Life Prediction Method Based on Strain Intensity Factor. Materials. 2017; 10(7):689. https://doi.org/10.3390/ma10070689
Chicago/Turabian StyleZhang, Wei, Huili Liu, Qiang Wang, and Jingjing He. 2017. "A Fatigue Life Prediction Method Based on Strain Intensity Factor" Materials 10, no. 7: 689. https://doi.org/10.3390/ma10070689
APA StyleZhang, W., Liu, H., Wang, Q., & He, J. (2017). A Fatigue Life Prediction Method Based on Strain Intensity Factor. Materials, 10(7), 689. https://doi.org/10.3390/ma10070689