Stress Intensity Factors for Radial Crack on Inner Surface of Interface in Multi-Layer Rotating Thick-Walled Cylinder
Abstract
:1. Introduction
2. Solution of Stress Intensity Factor Based on 2D Weighting Function
2.1. Theoretical Background
2.2. Establishment of Stress Intensity Factors
2.3. Stress Distribution of MRWC
2.4. Solution of SIF by Weight Function
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
w | 1.25 | 1.5 | 1.75 | 2 | 2.25 | 2.5 |
---|---|---|---|---|---|---|
a/t | ||||||
0.1 | 1402 | 1594 | 1675 | 1719 | 1752 | 1774 |
0.2 | 1970 | 2177 | 2232 | 2222 | 2213 | 2180 |
0.3 | 2432 | 2626 | 2630 | 2548 | 2495 | 2408 |
0.4 | 2868 | 3009 | 2969 | 2851 | 2715 | 2577 |
0.5 | 3323 | 3424 | 3298 | 3115 | 2924 | 2740 |
0.6 | 3847 | 3871 | 3659 | 3407 | 3159 | 2932 |
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Parameter | Value |
---|---|
Elastic modulus E | 210,000 MPa |
Poisson’s ratio μ | 0.3 |
Type of element | CPE8R |
Type of crack tip element | CPS6 |
Method for calculating SIF | Contour integral |
Mid-side node parameter | 0.25 |
Number of contours | 4 |
Crack initiation criterion | Maximum tangential stress |
Internal diameter of the internal layer R1 | 5 mm |
Outside diameter of the internal layer R2 | 10 mm |
Outside diameter of the outer layer R3 | 12.5 mm~25 mm |
Thickness ratio w (R3/R2) | 1.25~3 |
Crack depth a/t | 0.1~0.6 |
Magnitude of interference δC | 0.1 mm |
Parameter | Cracks of Interface | Reference [33] |
---|---|---|
Inner diameter of internal layer | 5 mm | None |
Outer diameter of internal layer | 10.1 mm | None |
Inner diameter of outer layer | 10 mm | 10 mm |
Outer diameter of outer layer | 15 mm | 15 mm |
Pressure | Contact pressure 492 MPa | Constant pressure 492 MPa |
Crack depth (a/t) | 0.1~0.5 | 0.1~0.5 |
Parameters | First Layer | Second Layer | Third Layer | Fourth Layer |
---|---|---|---|---|
Inner diameter (mm) | 10 | 20 | 30 | 60 |
Outer diameter (mm) | 20.05 | 30.08 | 60.1 | 80 |
Elasticity modulus (MPa) | 1 × 105 | 1.5 × 105 | 1.8 × 105 | 2.1 × 105 |
Poisson’s ratio | 0.3 | 0.27 | 0.34 | 0.3 |
Density (T/mm) | 7.8 × 10−8 | 8.8 × 10−8 | 6.8 × 10−8 | 5.8 × 10−8 |
Rotation speed (rad/s) | 1000 | 1000 | 1000 | 1000 |
x mm | 0 | 0.94 | 1.97 | 2.98 | 3.98 | 4.98 | 5.98 | 6.99 | 7.99 | 8.98 | |
---|---|---|---|---|---|---|---|---|---|---|---|
FEM (μm) | Diaplace | 37.6 | 37.3 | 36.2 | 34.6 | 32.7 | 30.4 | 27.6 | 24.2 | 20.0 | 14.3 |
Equation (13) (μm) | Diaplace | 38.9 | 37.6 | 36 | 34.2 | 32 | 29.9 | 27.1 | 23.8 | 19.8 | 14.3 |
Error % | 3.4 | 0.6 | 0.6 | 1.4 | 2.3 | 1.8 | 2 | 1.9 | 1.1 | 0 |
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Ying, J.; Yang, Z.; Chen, C.; Tian, H.; Deng, F.; Li, J. Stress Intensity Factors for Radial Crack on Inner Surface of Interface in Multi-Layer Rotating Thick-Walled Cylinder. Metals 2022, 12, 858. https://doi.org/10.3390/met12050858
Ying J, Yang Z, Chen C, Tian H, Deng F, Li J. Stress Intensity Factors for Radial Crack on Inner Surface of Interface in Multi-Layer Rotating Thick-Walled Cylinder. Metals. 2022; 12(5):858. https://doi.org/10.3390/met12050858
Chicago/Turabian StyleYing, Jun, Zhaojun Yang, Chuanhai Chen, Hailong Tian, Fuqin Deng, and Jieli Li. 2022. "Stress Intensity Factors for Radial Crack on Inner Surface of Interface in Multi-Layer Rotating Thick-Walled Cylinder" Metals 12, no. 5: 858. https://doi.org/10.3390/met12050858