Table 9 Comparison of axial buckling load of the CNT embedded in Winkler, Pasternak and Kerr’s medium.

From: Analyzing fine scaling quantum effects on the buckling of axially-loaded carbon nanotubes based on the density functional theory and molecular mechanics method

 

\(e_{0}a\) = 0 nm

\(e_{0}a\) = 1 nm

\(e_{0}a\) = 2 nm

\(L/d\) = 5

\(L/d\) = 10

\(L/d\) = 5

\(L/d\) = 10

\(L/d\) = 5

\(L/d\) = 10

Without medium107

19.3789

4.8447

13.8939

4.4095

7.5137

3.4735

Without medium108

19.3789

4.8447

13.8939

4.4095

7.5137

3.4735

Winkler medium108

39.2733

9.8183

33.7882

9.3831

27.4081

8.44710

Pasternak108

58.9082

14.7271

53.4232

14.2919

47.0430

13.3558

Kerr medium108

45.3062

11.3265

39.8211

10.8913

33.4410

9.95530

  1. \(e_{0}a\) shows the effects of nonlocal parameter, L is the length and d is rod diameter.