Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods
Abstract
1. Introduction
2. Method to Calculate the Propagation Direction of the Crack
2.1. The Theory of Maximum Tangential Normal Stress
2.2. The Theory of Minimum Strain Energy Density
2.3. Theory of Maximum Energy Release
2.4. Comparison Between Three Methods of Calculating Crack Propagation Direction
3. A Results and Discussions: A FGM Plate with the Through-Thickness Center Crack
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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FEM | Exper. | Error (%) | |||
---|---|---|---|---|---|
Exper. 1 | Exper. 2 | Exper. 1 | Exper. 2 | ||
Displacement (mm) | 0.15882 | 0.16335 | 0.17032 | 5.55 | 6.42 |
Strain (mm/mm) | 0.001531 | 0.0014833 | 0.001579 | 3.12 | 3.13 |
Exact (MPa·) | 4.2152 |
FEM (MPa·) | 4.2896 |
Error (%) | 1.77 |
FEM mJ/mm2 | 0.01760 |
Exact mJ/mm2 | 0.01681 |
Error (%) | 4.49 |
(Degree) | ||
---|---|---|
Exact | 0.32 | −64.6 |
FEM | 0.31 | −64.5 |
Error (%) | 3.12 | 0.15 |
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Nguyen, H.-D.; Huang, S.-C. Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods. Materials 2025, 18, 2698. https://doi.org/10.3390/ma18122698
Nguyen H-D, Huang S-C. Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods. Materials. 2025; 18(12):2698. https://doi.org/10.3390/ma18122698
Chicago/Turabian StyleNguyen, Huu-Dien, and Shyh-Chour Huang. 2025. "Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods" Materials 18, no. 12: 2698. https://doi.org/10.3390/ma18122698
APA StyleNguyen, H.-D., & Huang, S.-C. (2025). Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods. Materials, 18(12), 2698. https://doi.org/10.3390/ma18122698