Fracture Mechanics Modeling of Fatigue Behaviors of Adhesive-Bonded Aluminum Alloy Components
Abstract
:1. Introduction
2. Analytical Fracture Mechanics Modeling
2.1. Problem Idealization
2.2. Closed-Form Stress Intensity Factor Solutions
2.2.1. Case 1
2.2.2. Case 2
2.2.3. Case 3
2.3. Analytical Results and Implications
- In all cases, when L/t was large enough (e.g., 3), the SIF values approached a constant value of low magnitude (see Figure 7a,c,d) or a constant slope (see Figure 7b). These results suggest that there exists a threshold or critical value beyond which an additional bond length increase offers little in return in reducing the SIFs.
- When the was smaller than about 3, the SIFs in Cases 1 (Figure 7a,b) and 3 (Figure 7d) increased rapidly, indicating that in this regime, the bond length was too small to ensure an adequate load-carrying capacity of the joint. The only exception to the above observations was that Case 2 exhibited a decrease in the SIF as approached 0. This trend makes sense, as shown in Figure 5, in that under symmetric moment loading, the crack opening action rapidly diminished as approached zero.
- When the adhesive layer ( was considered, the non-dimensional variable , , and showed a noticeable influence on the non-dimensional SIFs. When the adhesive layer was thin (i.e., small) or stiff (i.e., , the SIF results approached those without considering an adhesive layer (i.e., and vice versa.
2.4. FE Validations
3. Applications in Fatigue Test Data Analysis
3.1. Fatigue Test Details
3.2. SIFs for Coach-Peel Test Specimens
3.3. SIFs for Lap-Shear Test Specimens
3.4. Fatigue Test Data Correlation Using SIFs
4. Discussions
4.1. Existence of Critical Bond Length
4.2. as a Fatigue Parameter
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Derivation of Composite Spring Constant
Appendix A.1. Spring Constants Corresponding to Cases 1 and 2
Appendix A.2. Composite Shear Spring Constant Corresponding to Case 3
Appendix B. Elastic Foundation Solution with Shear Spring
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Joint Types | Adherend Thickness Combinations |
---|---|
Lap-shear | 1 mm–1 mm |
1 mm–2 mm | |
2 mm–2 mm | |
Coach-peel | 1 mm–1 mm |
1 mm–2 mm | |
2 mm–2 mm |
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Zhang, Y.; Dong, P.; Pei, X. Fracture Mechanics Modeling of Fatigue Behaviors of Adhesive-Bonded Aluminum Alloy Components. Metals 2022, 12, 1298. https://doi.org/10.3390/met12081298
Zhang Y, Dong P, Pei X. Fracture Mechanics Modeling of Fatigue Behaviors of Adhesive-Bonded Aluminum Alloy Components. Metals. 2022; 12(8):1298. https://doi.org/10.3390/met12081298
Chicago/Turabian StyleZhang, Yuning, Pingsha Dong, and Xianjun Pei. 2022. "Fracture Mechanics Modeling of Fatigue Behaviors of Adhesive-Bonded Aluminum Alloy Components" Metals 12, no. 8: 1298. https://doi.org/10.3390/met12081298