Biomimetic Design and Topology Optimization of Discontinuous Carbon Fiber-Reinforced Composite Lattice Structures
Abstract
:1. Introduction
2. Topology Optimization of Lattice RVE of DiCFRPCs
3. Results and Discussion
3.1. Mesh Convergence Study of the Initial Periodic Lattice Block Model
3.2. Topology Optimization
3.3. Mechanical Property Characterization of the Topology-Optimized Lattice Block
3.4. Validations
4. Conclusions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Young’s Modulus (GPa) | Shear Modulus (GPa) | Poisson’s Ratio | Density ρ (kg/m3) | |||
---|---|---|---|---|---|---|
Ex | 5.57 | Gxy | 2.16 | νxy | 0.29 | 1380 |
Ey | 5.57 | Gyz | 7.41 | νyz | 0.047 | |
Ez | 29.9 | Gzx | 7.41 | νzx | 0.25 |
Mesh Size (μm) | Total Elements | Total Nodes | Maximum Displacement (μm) |
---|---|---|---|
50 | 12 | 111 | 0.0309 |
40 | 36 | 264 | 0.0309 |
35 | 45 | 320 | 0.0309 |
30 | 80 | 515 | 0.0309 |
25 | 96 | 605 | 0.0309 |
20 | 200 | 1152 | 0.0309 |
17.5 | 324 | 1771 | 0.0309 |
15 | 490 | 2576 | 0.0309 |
12.5 | 768 | 3897 | 0.0309 |
10 | 1500 | 7271 | 0.0309 |
8 | 3211 | 14,924 | 0.0309 |
6 | 7225 | 32,436 | 0.0309 |
5 | 12,000 | 52,940 | 0.0309 |
4 | 23,750 | 102,752 | 0.0309 |
3 | 57,800 | 245,105 | 0.0309 |
Mesh Size (μm) | Total Elements | Total Nodes | Maximum Displacement (μm) | Young’s Modulus (GPa) |
---|---|---|---|---|
10 | 85,097 | 129,527 | 9.1033 | 1.0471 |
5 | 124,364 | 185,968 | 9.1781 | 1.0716 |
4 | 137,916 | 206,287 | 9.1815 | 1.0732 |
3 | 183,201 | 273,919 | 9.1904 | 1.0732 |
Material | Density ρ (g/cm3) | Volume % | E (GPa) | E/ρ (106 m2 S−2) | νE/ρ (106 m2 S−2) |
---|---|---|---|---|---|
PLA | 1.19 | 100 | 2.865 | 2.408 | 1.422 |
CFRPLA * | 1.073 | 100 | 4.711 | 4.390 | 2.023 |
2D Hexagon PLA in X-lateral ** | 0.609 | 51.2 | 0.505 | 0.829 | 1.167 |
2D Hexagon PLA in Y-lateral ** | 0.626 | 52.6 | 0.455 | 0.727 | 1.078 |
2D Hexagon ** CFRPLA in X-lateral | 0.545 | 50.8 | 0.622 | 1.141 | 1.447 |
2D Hexagon ** CFRPLA in lateral | 0.537 | 50.0 | 0.588 | 1.096 | 1.428 |
2D Hexagon ** CFRPLA in Y-lateral | 0.545 | 50.8 | 0.622 | 1.141 | 1.447 |
2D Cuttlebone PLA ** in X-lateral | 0.610 | 51.3 | 0.829 | 1.358 | 1.493 |
2D Cuttlebone PLA ** in Y-lateral | 0.610 | 51.3 | 1.470 | 2.408 | 1.988 |
2D Cuttlebone ** CFRPLA in X-lateral | 0.610 | 51.3 | 1.926 | 3.155 | 2.275 |
2D Cuttlebone ** CFRPLA in Y-lateral | 0.610 | 51.3 | 2.939 | 4.814 | 2.810 |
3D Octahedron ** PLA in X-axis | 0.617 | 51.9 | 0.923 | 1.496 | 1.557 |
3D Octahedron ** PLA in Y-axis | 0.617 | 51.9 | 0.853 | 1.383 | 1.497 |
3D Octahedron ** PLA in Z-axis | 0.617 | 51.9 | 0.943 | 1.529 | 1.574 |
3D Octahedron ** CFRPLA in X-axis | 0.556 | 51.9 | 1.853 | 3.331 | 2.448 |
3D Octahedron ** CFRPLA in Y-axis | 0.556 | 51.9 | 1.682 | 3.023 | 2.333 |
3D Octahedron ** CFRPLA in Z-axis | 0.556 | 51.9 | 1.880 | 3.379 | 2.466 |
Aluminum | ~2.710 | 100 | ~69.0 | ~26.0 | 3.077 |
Steel | ~7.85 | 100 | ~200 | ~25.0 | 1.790 |
Titanium alloys | ~4.50 | 100 | ~112.5 | ~25.0 | 25.00 |
Diamond (C) | ~3.53 | 100 | ~1220 | ~346 | 9.895 |
This research (Nylon 66 with 30 vol.% CFs) in Z-axis | 1.380 | 100 | 29.87 | 21.64 | 3.960 |
This research (Nylon 66 with 30 vol.% CFs) in Z-axis | 0.7636 | 55.3 | 12.65 | 16.57 | 4.658 |
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Hu, Z. Biomimetic Design and Topology Optimization of Discontinuous Carbon Fiber-Reinforced Composite Lattice Structures. Biomimetics 2023, 8, 148. https://doi.org/10.3390/biomimetics8020148
Hu Z. Biomimetic Design and Topology Optimization of Discontinuous Carbon Fiber-Reinforced Composite Lattice Structures. Biomimetics. 2023; 8(2):148. https://doi.org/10.3390/biomimetics8020148
Chicago/Turabian StyleHu, Zhong. 2023. "Biomimetic Design and Topology Optimization of Discontinuous Carbon Fiber-Reinforced Composite Lattice Structures" Biomimetics 8, no. 2: 148. https://doi.org/10.3390/biomimetics8020148