Tensile Strength Prediction of Short Fiber Reinforced Composites
Abstract
:1. Introduction
2. Homogenized Internal Stresses
3. True Internal Stresses
4. Longitudinal Tensile SCF
4.1. Displacements, Stresses and Strains of the Matrix
4.2. Determination of the Constants in Ω1
4.3. Determination of the Constants in Ω2
4.4. Continuity Conditions in between Ω1 and Ω2
4.5. Integration for Equation (17)
4.6. Derivation of K11
5. Failure Criterion and Strength Prediction
5.1. Failure Criterion
5.2. Strength of UA Short Fiber Composites
5.3. Strength of Randomly Oriented Short Fiber Composite
6. Numerical Examples
6.1. Fiber Length Ratio
6.2. Material Parameters
6.3. Results
6.3.1. K11
6.3.2. Strength Predictions
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Equations for Coefficients in a11
Appendix B. Coordinate Transformation Tensor
References
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Material | E11 (GPa) | E22 (GPa) | ν12 | G12 (GPa) | G23 (GPa) | σu,t (MPa) | σu,c (MPa) |
---|---|---|---|---|---|---|---|
E-Glass fiber [37] | 80 | 80 | 0.2 | 33.33 | 33.33 | 2150 | 1450 |
LY556 matrix [37] | 3.35 | 3.35 | 0.35 | 1.24 | 1.24 | 80 | 120 |
Material | E11 (GPa) | E22 (GPa) | ν12 | G12 (GPa) | G23 (GPa) | σu,t (MPa) | σu,c (MPa) |
---|---|---|---|---|---|---|---|
T300 fiber [41] | 225 | 15 | 0.2 | 15 | 7 | 4344 | - |
E-glass-a fiber [41] | 73 | 73 | 0.2 | 30.42 | 30.42 | 2400 | - |
E-glass-b fiber [27] | 72 | 72 | 0.22 | 29.51 | 29.51 | 1500 | - |
Epoxy matrix [41] | 4 | 4 | 0.35 | 1.48 | 1.48 | 80 | 150 |
PA6.6 matrix [27] | 3.3 | 3.3 | 0.35 | 1.22 | 1.22 | 80 | 145 |
Material System | a (μm) | ξ | h/a | Vf | γ | ||||
---|---|---|---|---|---|---|---|---|---|
T300/Epoxy [41] | 3.5 | 429 | 5.19 2.60 1.26 | 0.25 0.40 0.55 | 1.0248 1.0181 1.0126 | 1.18 1.08 0.96 | 1.60 1.85 2.07 | 0.91 0.96 1.03 | 1.48 1.65 1.81 |
E-glass-a /Epoxy [41] | 3.5 | 429 | 1.35 | 0.55 | 1.0126 | 0.99 | 3.04 | 1.02 | 2.39 |
E-glass-b /PA6.6 [27] | 5 | 25 | 10.93 5.16 | 0.074 0.194 | 1.4461 1.3005 | 1.61 1.52 | 1.43 1.9 | 0.88 0.88 | 1.39 1.67 |
Vf | Predicted (All SCFs Incorporated) | Error (%) | Predicted (No SCF Considered) | Error (%) | Predicted (Only K11 Considered) | Error (%) | Measured |
---|---|---|---|---|---|---|---|
0.074 | 148.9 | 25.7% | 184.8 | 56.1% | 153 | 29.3% | 118.4 |
0.194 | 162.5 | 6.7% | 213.9 | 22.9% | 189.2 | 8.7% | 174.1 |
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Huang, Z.-M.; Guo, W.-J.; Huang, H.-B.; Zhang, C.-C. Tensile Strength Prediction of Short Fiber Reinforced Composites. Materials 2021, 14, 2708. https://doi.org/10.3390/ma14112708
Huang Z-M, Guo W-J, Huang H-B, Zhang C-C. Tensile Strength Prediction of Short Fiber Reinforced Composites. Materials. 2021; 14(11):2708. https://doi.org/10.3390/ma14112708
Chicago/Turabian StyleHuang, Zheng-Ming, Wei-Jing Guo, Hong-Bo Huang, and Chun-Chun Zhang. 2021. "Tensile Strength Prediction of Short Fiber Reinforced Composites" Materials 14, no. 11: 2708. https://doi.org/10.3390/ma14112708