Stress Intensity Factor and Shape Coefficient Correction of Non-Penetrating Three-Dimensional Crack for Brittle Ampoule Bottle with V-Shaped Notch
Abstract
:1. Introduction
2. Theory and Method of Fracture Mechanics Based on the FEM
2.1. Mechanical Model of an Ampoule Bottle with the Crack on the Neck
2.2. Mesh Model of the FEM in Fracture Mechanics
2.3. Stress Intensity Factor and Shape Coefficient of the Crack
2.4. Calculation of the SIF Based on the FEM
2.5. Correction of Crack Shape Coefficient
2.6. Verification Method of Shape Coefficient Correction
3. Results and Discussion
3.1. The Influence of Mesh Size on the Coefficient K
3.2. Results and Analysis of the Coefficient K at the Crack Front
3.3. Corrected Shape Coefficient with a V-Shaped Notch
3.4. Verification of the Corrected Shape Coefficient
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Items | Material | Density | Elastic Young’s Modulus | Poisson’s Ratio |
---|---|---|---|---|
Ampoule bottle | High borosilicate glass | 2.23 g/cm3 | 67 GPa | 0.2 |
a/t | a/c | |||||||
---|---|---|---|---|---|---|---|---|
0.2 | 0.4 | 0.6 | 0.8 | |||||
0.2 | 821.02 | +∞ | 1000.00 | +∞ | 35.71 | +∞ | 25.71 | +∞ |
0.3 | 77.50 | +∞ | 40.00 | +∞ | 1500.00 | +∞ | 50.26 | +∞ |
0.4 | 51.65 | +∞ | 38.60 | +∞ | 56.25 | +∞ | 1351.35 | +∞ |
0.5 | 49.29 | +∞ | 34.67 | +∞ | 39.23 | +∞ | 60.52 | +∞ |
0.6 | 43.88 | +∞ | 29.11 | +∞ | 30.66 | +∞ | 32.96 | +∞ |
0.7 | 34.67 | +∞ | 30.16 | +∞ | 25.21 | +∞ | 22.73 | +∞ |
0.8 | 28.57 | +∞ | 29.23 | +∞ | 23.33 | +∞ | 21.53 | +∞ |
a/c | R/r | |||
---|---|---|---|---|
1.2 | 1.4 | 1.6 | 1.8 | |
0.2 | 1.90357(a/t)2+ 0.02693(a/t)+ 3.65907 | 2.52857(a/t)2− 0.63657(a/t)+ 3.84057 | 2.47716(a/t)2− 0.35966(a/t)+ 3.66329 | 2.73214(a/t)2− 0.49364(a/t)+ 3.69364 |
0.4 | 1.6(a/t)2− 0.291(a/t)+ 3.3385 | 1.03571(a/t)2+ 0.28429(a/t)+ 3.26621 | 1.92857(a/t)2− 0.49857(a/t)+ 3.38957 | 2.20714(a/t)2− 0.39214(a/t)+ 3.36914 |
0.6 | 1.44286(a/t)2− 0.430(a/t)+ 2.95586 | 0.175(a/t)2+ 0.5125(a/t)+ 2.926 | 0.2(a/t)2+ 0.46(a/t)+ 2.915 | 1.15357(a/t)2+ 0.09493(a/t)+ 2.97157 |
0.8 | −0.125(a/t)2+ 0.5925(a/t)+ 2.475 | 0.52143(a/t)2 0.09243(a/t)+ 2.68243 | 0.35(a/t)2+ 0.189(a/t)+ 2.618 | 0.55714(a/t)2+ 0.27886(a/t)+ 2.63214 |
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Yu, P.; Huang, X.; Gong, Y.; Li, S. Stress Intensity Factor and Shape Coefficient Correction of Non-Penetrating Three-Dimensional Crack for Brittle Ampoule Bottle with V-Shaped Notch. Appl. Sci. 2022, 12, 5246. https://doi.org/10.3390/app12105246
Yu P, Huang X, Gong Y, Li S. Stress Intensity Factor and Shape Coefficient Correction of Non-Penetrating Three-Dimensional Crack for Brittle Ampoule Bottle with V-Shaped Notch. Applied Sciences. 2022; 12(10):5246. https://doi.org/10.3390/app12105246
Chicago/Turabian StyleYu, Peng, Xuefeng Huang, Youping Gong, and Shengji Li. 2022. "Stress Intensity Factor and Shape Coefficient Correction of Non-Penetrating Three-Dimensional Crack for Brittle Ampoule Bottle with V-Shaped Notch" Applied Sciences 12, no. 10: 5246. https://doi.org/10.3390/app12105246