Buckling Analysis of a Double-Walled Carbon Nanotube Embedded in an Elastic Medium Using the Energy Method

Subject Areas : Engineering

A Ghorbanpour Arani ¹ , M Shokravi ² , M Mohammadimehr ³

1 - Department of Mechanical Engineering, University of Kashan
2 - Department of Mechanical Engineering, University of Kashan
3 - Department of Mechanical Engineering, University of Kashan

Received: 2009-08-28 Accepted : 2009-12-13 Published : 2009-12-30

Keywords:

References:

[1] Yakobson B.I., Brabec C.J., Bernholc J., 1996, Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response, Physical Review Letters 76: 2511-2514.

[2] He X.Q., Kitipornchai S., Liew K.M., 2005, Buckling analysis of multi-walled carbon nanotubes: A continuum model accounting for van der Waals interaction, Journal of the Mechanics and Physics of Solids 53: 303-326.

[3] Ru C.Q., 2000, Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube, Journal of Applied physics 87: 1712-1715.

[4] Han Q., Lu G., 2003, Torsional buckling of a DWCNT embedded in an elastic medium, European Journal of Mechanics A/Solids 22: 875-883.

[5] Donnell L.H., 1976, Beams, Plates, Shells, McGraw-Hill, New York.

[6] Ru C.Q., 2001, Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium, Journal of the Mechanics and Physics of Solids 49: 1265-1279.

[7] Ranjbartoreh A.R., Ghorbanpour A., Soltani B., 2007, Double-walled carbon nanotube with surrounding elastic medium under axial pressure, Physica E 39: 230-239.

[8] Ghorbanpour Arani A., Rahmani R., Arefmanesh A., Golabi S., 2008, Buckling analysis of multi-walled carbon nanotubes under combined loading considering the effect of small length scale, Journal of Mechanical Science and Technology 22: 429-439.

[9] Ghorbanpour Arani A., Mohammadimehr M., Arefmanesh A., Ghasemi A., 2010, Transverse vibration of short carbon nanotube using cylindrical shell and beam models, Proc. IMechE Part C: Journal of Mechanical Engineering Science 224: doi: 10.1243/09544062JMES1659.

[10] Brush D.O., Almroth B.O., 1975, Buckling of Bars, Plates and Shells, Mc Graw-Hill, Singapore.

[11] Saito R., Matsuo R., Kimura T., Dresselhaus G., Dresselhaus M.S., 2001, Anomalous potential barrier of double-wall carbon nanotube, Chemical Physics Letters 348: 187-193.

[12] Girifalco L.A., Lad R.A., 1956, Energy of cohesion, compressibility, and the potential energy functions of the graphite system, Journal of Chemical Physics 25: 693-697.

[13] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4710.

[14] Zhou X., Zhou J.J., Qu-Yang Z.C., 2000, Strain energy and Young’s modulus of single-wall carbon nanotubes calculated from electronic energy-band theory, Physical Review B 62: doi: 10.1103/PhysRevB.62.13692.

[15] Tu Z.C., Qu-Yang Z.C., 2002, Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on larger number, Physical Review B 65: doi: 10.1103/PhysRevB.65.233407.

[16] Kudin K.N., Scuseria G.E., Yakobson B.I., 2001, C2F, BN and C nanoshell elasticity from abinitio computations, Physical Review B 64: doi: 10.1103/PhysRevB.64.235406.

[17] Fok S.L., 2002, Analysis of the buckling of long cylindrical shells imbedded in an elastic medium using the energy method, Journal of Strain Analysis for Engineering Design 37(5): 375-383.

[18] Zhang Y.Q., Liu G.R., Qiang H.F., Li G.Y., 2006, Investigation of buckling of buckling of double-walled carbon nanitubes embedded in an elastic medium using the energy method, International Journal of Mechanical Sciences 48: 53-61.