[1] [1] HAN Q, LU G. Torsional buckling of a double-walled carbon nanotube embedded in an elastic medium ［J］. European Journal of Mechanics-A/Solids, 2003, 22(6): 875-883.

[2] [2] WANG X, YANG H K, DONG K. Torsional buckling of multi-walled carbon nanotubes ［J］. Materials Science and Engineering: A, 2005, 404(1-2): 314-322.

[3] [3] HAN Q, YAO X H, LI L F, Theoretical and numerical study of torsional buckling of multiwall carbon nanotubes ［J］. Mechanics of Advanced Materials and Structures, 2006, 13(4): 329-337.

[4] [4] YANG H K, WANG X. Torsional buckling of multi-wall carbon nanotubes embedded in an elastic medium ［J］. Composite Structures, 2007, 77(2): 182-192.

[5] [5] YAO X H, HAN Q. Torsional buckling of a double-walled carbon nanotube under the action of coupled thermo-mechanical load ［J］. Acta Physica Sinica, 2008, 57(8): 5056-5062.

[6] [6] ZHANG L C, SHEN H S. Buckling and post buckling of single-walled carbon nanotubes under combined axial compression and torsion in the thermal environments ［J］. Physical Review B, 2007, 75(4): 045408.

[7] [7] YAO X H, HAN Q. Buckling analysis of multiwalled carbon nanotubes under torsional load coupling with temperature change ［J］. Journal of Engineering Materials and Technology, 2006, 128(3): 419-427.

[8] [8] SUN Y G, YAO X H, HAN Q, Combined torsional buckling of double-walled carbon nanotubes with axial load in the multi-field coupled condition ［J］. Science China Physics, Mechanics and Astronomy, 2011, 54(9): 1059-1065.

[9] [9] ERINGEN A C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves ［J］. Journal of Applied Physics, 1983, 54(9): 4703-4710.

[10] [10] ARASH B, WANG Q. A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes ［J］.Computational Material Science, 2012, 51(1): 303-313.

[11] [11] GHORBANPOUR A A, MOHAMMADIMEHR M, SAIDI A R, et al.. Thermal buckling analysis of double-walled carbon nanotubes considering the small-length effect ［J］. Mechanical Engineering Science, 2011, 225(1): 248-256.

[12] [12] ANSARI R, ROUHI H, SAHMANI S. Thermal effect on axial buckling behavior of multi-walled carbon nanotubes based on nonlocal shell model［J］. Physica E: Low-dimensional Systems and Nanostructures, 2011, 44(2): 373-378.

[13] [13] NARENDAR S, GOPALAKRISHNAN S. Critical buckling temperature of single-walled carbon nantubes embedded in a one-paremeter elastic medium based on nonlocal continuum mechanics ［J］. Physica E Low-dimensional Systems and Nanostructures, 2011, 43(6): 1185-1191.

[14] [14] KHADEMOLHOSSEINI F, RAJAPAKSE R K N D, NOJEH A. Torsional buckling of carbon nanotubes based on nonlocal elasticity shell models ［J］. Computational Material Science, 2010, 48(4): 736-742.

[15] [15] SAITO R, MATSUO R, KIMURA T, et al.. Anomalous potential barrier of double-wall carbon nanotube ［J］. Chemical Physics Letters, 2001, 348(3-4): 187-193.

[16] [16] SAI N, MELE E J. Microscopic theory for nanotube piezoelectricity ［J］. Physical Review B, 2003, 68(24): 241405(R).

[17] [17] HAO M J, GUO X M, WANG Q. Small-scale effect on torsional buckling of multi-walled carbon nanotubes ［J］. European Journal of Mechanics A/Solids 2010, 29(1): 49-55.

[18] [18] MOHAMMADIMEHR M, SAIDI A R, GHORBANPUR A A, et al.. Torsional buckling of a DWCNT embedded on winkler and pasternak foundations using nonlocal theory ［J］. Journal of Mechanical Science and Technology, 2010, 24(6): 1289-1299.