Three-Dimensional Fracture Analysis in Functionally Graded Materials Using the Finite Block Method in Strong Form
Abstract
:1. Introduction
2. Block Mapping in Three-Dimensional Problems
3. Strong-Form Finite Block Method
3.1. A Brief Description of the FBML
3.2. The Brief of the FBMC
4. Three-Dimensional Elasticity
4.1. Governing Equations
4.2. Boundary Conditions
4.3. Numerical Discretization
5. Numerical Examples and Discussion
5.1. Central-Crack Plate under Tension Load
- Case 1—Homogeneous material: .
- Case 2—Material gradation in the y-direction: .
- Case 3—Material gradation in the z-direction: .
5.2. Edge-Crack Plate under Tension Load
- Case 1—Homogeneous material: .
- Case 2—Material gradation in y-direction: .
- Case 3—Material gradation in z-direction: .
5.3. Curved Edge-Crack under Shearing Load
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
References
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Fu, C.Y.; Yang, Y.; Zhou, Y.R.; Shi, C.Z.; Wen, P.H. Three-Dimensional Fracture Analysis in Functionally Graded Materials Using the Finite Block Method in Strong Form. Materials 2023, 16, 7301. https://doi.org/10.3390/ma16237301
Fu CY, Yang Y, Zhou YR, Shi CZ, Wen PH. Three-Dimensional Fracture Analysis in Functionally Graded Materials Using the Finite Block Method in Strong Form. Materials. 2023; 16(23):7301. https://doi.org/10.3390/ma16237301
Chicago/Turabian StyleFu, C. Y., Y. Yang, Y. R. Zhou, C. Z. Shi, and P. H. Wen. 2023. "Three-Dimensional Fracture Analysis in Functionally Graded Materials Using the Finite Block Method in Strong Form" Materials 16, no. 23: 7301. https://doi.org/10.3390/ma16237301