Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing
Abstract
:1. Introduction
2. Materials and Methods
2.1. Design of Unit Cell and Samples
2.2. Additive Manufacturing of Samples
2.3. Mechanical Tests
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Cubic | Inner Inclined Cubic | Inclined Cubic | Face Inclined Cubic | Octet Truss | Vertical Inclined | Vertical Inclined (m1) | |
---|---|---|---|---|---|---|---|
Unit Cell | |||||||
Top View of Sample | |||||||
Designed Samples | |||||||
3D Printed Samples |
Density (g/cm3) | Young’s Modulus (MPa) | Poisson’s Ratio |
---|---|---|
1.01 | 1250 | 0.33 |
Experiment No. | Lattice Morphology | Sample Height: h (mm) | Unit Cell Size: u (mm) | Beam Radius: r (mm) | Volume: Calculated V (mm3) | Mass: M Measured (grams) | Critical Buckling Load (Pcr)(N) | ||
---|---|---|---|---|---|---|---|---|---|
1 | Cubic | 161.2 ± 1 | 8.72 | 8.72 | 8.72 | 1.962 | 32,055 | 29.2 | 4330 |
2 | Inner Inclined Cubic | 161.2 ± 1 | 9.24 | 9.24 | 9.24 | 1.35 | 32,008 | 29.4 | 2994 |
3 | Inclined Cubic | 161.2 ± 1 | 9.65 | 9.65 | 9.37 | 0.94 | 31,593 | 28.9 | 1943 |
4 | Face Inclined Cubic | 161.2 ± 1 | 9.45 | 9.45 | 9.35 | 1.145 | 31,971 | 29.4 | 2944 |
5 | Octet Truss | 161.2 ± 1 | 9.55 | 9.55 | 9.55 | 1.05 | 32,018 | 30.8 | 2101 |
6 | Vertical Inclined | 161.2 ± 1 | 9.1 | 9.1 | 9.48 | 1.5 | 32,290 | 29.5 | 4356 |
7 | Vertical Inclined (m1) | 161.2 ± 1 | 8.6 | 8.6 | 8.1 | 2, 1.22 | 32,014 | 29.2 | 5260 |
Volume (mm3) | Mass (g) | r1 (mm) | r2 (mm) | r2/r1 | Pcr (N) |
---|---|---|---|---|---|
41,545 | 41.96 | 1.44 | 1.44 | 1.000 | 5796 |
41,549 | 41.964 | 1.55 | 1.412 | 0.911 | 6129 |
41,533 | 41.948 | 1.66 | 1.38 | 0.831 | 6421 |
41,430 | 41.844 | 1.77 | 1.342 | 0.758 | 6654 |
41,541 | 41.956 | 1.88 | 1.305 | 0.694 | 6857 |
41,556 | 41.971 | 1.99 | 1.261 | 0.634 | 6982 |
41,543 | 41.958 | 2.1 | 1.211 | 0.577 | 7028 |
41,567 | 41.983 | 2.21 | 1.156 | 0.523 | 6990 |
41,558 | 41.973 | 2.32 | 1.093 | 0.471 | 6832 |
41,532 | 41.948 | 2.43 | 1.021 | 0.420 | 6529 |
41,550 | 41.966 | 2.54 | 0.94 | 0.370 | 6076 |
41,554 | 41.97 | 2.65 | 0.845 | 0.319 | 5438 |
41,536 | 41.951 | 2.76 | 0.73 | 0.264 | 4602 |
41,543 | 41.959 | 2.87 | 0.586 | 0.204 | 3574 |
41,542 | 41.957 | 2.98 | 0.378 | 0.127 | 2015 |
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Nazir, A.; Arshad, A.B.; Jeng, J.-Y. Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing. Materials 2019, 12, 3539. https://doi.org/10.3390/ma12213539
Nazir A, Arshad AB, Jeng J-Y. Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing. Materials. 2019; 12(21):3539. https://doi.org/10.3390/ma12213539
Chicago/Turabian StyleNazir, Aamer, Ahmad Bin Arshad, and Jeng-Ywan Jeng. 2019. "Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing" Materials 12, no. 21: 3539. https://doi.org/10.3390/ma12213539