Table 11 MD buckling results for SWCNTs with \(L/d\) ≤ 10 under torsion109.
SWCNT (5, 5) | SWCNT (10, 10) | SWCNT (15, 15) | SWCNT (20, 20) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
D = 0.678 nm | D = 1.356 nm | D = 2.034 nm | D = 2.713 nm | ||||||||
\(L/d\) | \({{\text{T}}}_{cr}\) (nN-nm) | \({\uptheta }_{cr}\) (rad) | \(L/d\) | \({{\text{T}}}_{cr}\) (nN-nm) | Θcr (rad) | \(L/d\) | \({{\text{T}}}_{cr}\) (nN-nm) | \({\uptheta }_{cr}\) (rad) | \(L/d\) | \({{\text{T}}}_{cr}\) (nN-nm) | \({\uptheta }_{cr}\) (rad) |
2.0 | 16.0 | 0.5760 | 1.0 | 43.6 | 0.2007 | 1.0 | 53.3 | 0.1222 | 1.5 | 46.0 | 0.0960 |
3.1 | 11.2 | 0.6371 | 1.5 | 30.6 | 0.2269 | 1.4 | 43.8 | 0.1396 | 1.8 | 42.0 | 0.1047 |
4.2 | 8.9 | 0.6894 | 2.1 | 24.6 | 0.2531 | 1.6 | 39.1 | 0.1484 | 2.0 | 39.2 | 0.1135 |
4.9 | 8.0 | 0.7330 | 2.4 | 22.9 | 0.2793 | 2.0 | 35.3 | 0.1658 | 2.2 | 38.7 | 0.1222 |
6.0 | 7.2 | 0.8116 | 3.0 | 20.2 | 0.3054 | 2.4 | 31.0 | 0.1745 | 2.6 | 36.8 | 0.1309 |
7.0 | 6.7 | 0.8988 | 3.5 | 19.5 | 0.3491 | 2.7 | 27.8 | 0.1833 | 3.0 | 31.7 | 0.1396 |
8.1 | 6.5 | 0.9948 | 4.1 | 18.5 | 0.3841 | 3.0 | 26.7 | 0.1920 | 3.5 | 29.0 | 0.1484 |
8.9 | 6.3 | 1.0646 | 4.4 | 16.8 | 0.3843 | 3.3 | 24.6 | 0.2007 | 3.8 | 28.4 | 0.1571 |
9.9 | 6.2 | 1.1694 | 5.0 | 14.8 | 0.3844 | 4.0 | 22.6 | 0.2270 | 4.0 | 27.7 | 0.1658 |
6.1 | 12.5 | 0.4014 | 4.6 | 21.8 | 0.2531 | 4.5 | 26.3 | 0.1745 | |||
7.0 | 11.2 | 0.4189 | 5.0 | 20.9 | 0.2618 | ||||||
7.5 | 10.8 | 0.4363 | 5.4 | 20.8 | 0.2793 | ||||||
8.0 | 10.4 | 0.4538 | 6.0 | 19.0 | 0.2880 | ||||||
9.0 | 9.9 | 0.4800 | 6.7 | 16.8 | 0.2881 | ||||||
10.0 | 9.6 | 0.5236 | |||||||||
20.0 | 8.4 | 0.9250 | |||||||||
