A Three-Dimensional Equivalent Stiffness Model of Composite Laminates with Wrinkle Defects
Abstract
:1. Introduction
2. Analytical Model
2.1. Geometry Model
2.2. Constitutive Relation
2.3. Effective Stiffness Properties
3. Numerical Method
3.1. Material Properties
3.2. Laminated RVE
3.3. Periodic Boundary Conditions and Post-Processing
4. Validation
5. Results and Discussion
5.1. Effective Stiffness of a Single Ply with a Wrinkle
5.2. Effective Stiffness of Laminates with Wrinkles
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Elastic Modulus | Poisson’s Ratio | Shear Modulus | ||||||
---|---|---|---|---|---|---|---|---|
(GPa) | (GPa) | (GPa) | (GPa) | (GPa) | (GPa) | |||
105 | 9.51 | 9.51 | 0.285 | 0.443 | 0.285 | 4.78 | 3.30 | 4.78 |
Laminate Stacking Sequence | (mm) | Effective Ply Thickness (mm) |
---|---|---|
1.8 | 0.15 | |
1.8 | 0.15 | |
1.8 | 0.15 |
Property | ||||||||
---|---|---|---|---|---|---|---|---|
Present model | 0.025 | 88.152 | 9.510 | 9.517 | 4.758 | 4.861 | 3.310 | |
0.05 | 60.617 | 9.510 | 9.545 | 4.698 | 5.101 | 3.340 | ||
0.1 | 30.002 | 9.510 | 9.751 | 4.502 | 5.994 | 3.447 | ||
RVE model | 0.025 | 88.152 (0%) | 9.510 (0%) | 9.517 (0%) | 4.765 (−0.15%) | 4.881 (−0.41%) | 3.310 (0%) | |
0.05 | 60.617 (0%) | 9.510 (0%) | 9.545 (0%) | 4.723 (−0.53%) | 5.180 (−1.53%) | 3.340 (0%) | ||
0.1 | 30.002 (0%) | 9.510 (0%) | 9.751 (0%) | 4.576 (−1.62%) | 6.325 (−5.23%) | 3.447 (0%) | ||
Garnich’s FE model | 0.025 | 87.3 (0.98%) | 9.51 (0.00%) | 9.53 (−0.14%) | 4.77 (−0.25%) | 4.89 (−0.59%) | 3.31 (−0.30%) | |
0.05 | 59.4 (2.05%) | 9.51 (0.00%) | 9.58 (−0.37%) | 4.74 (−0.89%) | 5.21 (−2.09%) | 3.36 (−0.60%) | ||
0.1 | 30.3 (−0.98%) | 9.52 (−0.11%) | 9.93 (−1.80%) | 4.65 (−3.18%) | 6.29 (4.71%) | 3.356 (2.71%) | ||
Takeda’s model | 0.025 | 85.9 (2.62%) | 9.58 (−0.73%) | 9.45 (0.71%) | 4.80 (−0.87%) | 4.86 (−0.02%) | 3.28 (0.61%) | |
0.05 | 57.1 (6.16%) | 9.55 (−0.42%) | 9.53 (0.16%) | 4.73 (−0.68%) | 5.23 (−2.47%) | 3.33 (0.30%) | ||
0.1 | 29.6 (1.36%) | 9.55 (−0.42%) | 9.89 (−1.41%) | 4.56 (−1.27%) | 6.35 (−5.61%) | 3.46 (−0.38%) |
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Hu, H.; Mei, Z.; Li, H. A Three-Dimensional Equivalent Stiffness Model of Composite Laminates with Wrinkle Defects. Materials 2022, 15, 5264. https://doi.org/10.3390/ma15155264
Hu H, Mei Z, Li H. A Three-Dimensional Equivalent Stiffness Model of Composite Laminates with Wrinkle Defects. Materials. 2022; 15(15):5264. https://doi.org/10.3390/ma15155264
Chicago/Turabian StyleHu, Haozhong, Zhiyuan Mei, and Huadong Li. 2022. "A Three-Dimensional Equivalent Stiffness Model of Composite Laminates with Wrinkle Defects" Materials 15, no. 15: 5264. https://doi.org/10.3390/ma15155264