Axial buckling of multi-walled carbon nanotubes and nanopeapods

European Journal of Mechanics, A/Solids

Volumn 30, Issue 6, 2011, Pages 794-806

  Chan, Yue ^a   Thamwattana, Ngamta ^b   Hill, James M ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Buckling; Carbon nanoubtues; Donnell's equilibrium equation; Euler Bernoulli beam theory; Metallofullerenes; Nanopeapods; van der Waals interactions

Indexed keywords

EQUILIBRIUM EQUATION; EULER BERNOULLI BEAM THEORY; METALLOFULLERENES; NANOPEAPODS; VAN DER WAALS INTERACTIONS;

ACTIVE NETWORKS; BIOSENSORS; BUCKLING; FULLERENES; MOLECULAR INTERACTIONS; MOLECULAR STRUCTURE; STABILITY CRITERIA; VAN DER WAALS FORCES;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 79959924579     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2011.05.001     Document Type: Article

References (49)

1. S. Akita, Y. Nakayama, S. Mizooka, Y. Takano, T. Okawa, Y. Miyatake, S. Yamanaka, M. Tsuji, and T. Nosaka Nanotweezers consisting of carbon nanotubes operating in an atomic force microscope Appl. Phys. Lett. 79 2001 1691 1693 (Pubitemid 33598506)
2. D. Baowan, N. Thamwattana, and J.M. Hill Zigzag and spiral configurations for fullerenes in carbon nanotubes J. Phys. A Math. Theor. 40 2007 7543 7556
3. R.H. Baughman, C. Cui, A.A. Zakhidov, Z. Iqbal, J.N. Barisci, G.M. Spinks, G.G. Wallace, A. Mazzoldi, D.D. Rossi, A.G. Rinzler, O. Jaschinski, S. Roth, and M. Kertesz Carbon nanotube actuators Science 284 1999 1340 1344 (Pubitemid 29289656)
4. K. Behfar, and R. Naghdabadi Nanoscale vibration analysis of a multi-layered graphene sheet embedded in an elastic medium Compos. Sci. Technol. 65 2005 1159 1164 (Pubitemid 40622032)
5. S. Berber, Y.K. Kwon, and D. Tomanek Microscopic formation mechanism of nanotube peapods Phys. Rev. Lett. 88 2002 185502
6. B.J. Cox, N. Thamwattana, and J.M. Hill Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies Proc. R. Soc. Ser. A 463 2007 461 476
7. B.J. Cox, N. Thamwattana, and J.M. Hill Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour Proc. R. Soc. Ser. A 463 2007 477 494
8. M. Dequesnes, S.V. Rotkin, and N.R. Aluru Calculation of pull-in voltages for carbon-nanotube-based nanoelectromechanical switches Nanotechnology 13 2002 120 131 (Pubitemid 34180695)
9. J.A. Elliott, J.K.W. Sandler, A.H. Windle, R.J. Young, and S.P. Shaffer Collapse of single-wall carbon nanotubes is diameter dependent Phys. Rev. Lett. 92 095501 2004
10. S. Govindjee, and J.L. Sackman On the use of continuum mechanics to estimate the properties of nanotubes Solid State Commun. 110 1999 227 230
11. Q. Han, and G. Lu Torsional buckling of a double-walled carbon nanotube embedded in an elastic medium Eur. J. Mech. A-Solids 22 2003 875 883
12. X.Q. He, S. Kitipornchai, and K.M. Liew Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interactions J. Mech. Phys. Solids 53 2005 303 326 (Pubitemid 40003149)
13. S. Iijima Helical microtubes of graphitic carbon Nature 354 1991 56 58
14. C.H. Ke, H.D. Espinosa, and N. Pugno Numerical analysis of nanotubes based NEMS devices - part II: role of finite kinematics, stretching and charge concentrations J. Appl. Mech. 72 2005 519 526
15. C.H. Ke, N. Pugno, B. Peng, and H.D. Espinosa Experiments and modeling of carbon nanotube-based NEMS devices J. Mech. Phys. Solids 53 2005 1314 1333 (Pubitemid 40467406)
16. P. Kim, and C.M. Lieber Nanotube nanotweezers Science 286 1999 2148 2150 (Pubitemid 129516287)
17. M.J. Kinaret, T. Nord, and S. Viefers A carbon-nanotube-based nanorelay Appl. Phys. Lett. 82 2003 1287 1289
18. S.B. Legoas, V.R. Coluci, S.F. Braga, P.Z. Coura, S.O. Dantas, and D.S. Galvao Molecular-dynamics simulations of carbon nanotubes as gigahertz oscillators Phys. Rev. Lett. 90 055504 2003
19. C. Li, and T.W. Chou A structural flexibility of carbon nanotubes J. Solids Struct. 40 2003 2487 2499
20. K.M. Liew, C.H. Wong, X.Q. He1, M.J. Tan, and S.A. Meguid Nanomechanics of single and multiwalled carbon nanotubes Phys. Rev. B 69 2004 115429
21. G.M. Odegard, T.S. Gates, L.M. Nicholson, and K.E. Wise Equivalent-continuum modeling of nano-structured materials Compos. Sci. Technol. 62 2002 1869 1880
22. A. Pantano, D.M. Parks, and M.C. Boyce Mechanics of deformation of single- and multi-wall carbon nanotubes J. Mech. Phys. Solids 52 2004 789 821
23. N. Pugno, C.H. Ke, and H.D. Espinosa Analysis of doubly-clamped nanotube devices in finite deformation regime J. Appl. Mech. 72 2005 445 449 (Pubitemid 40818437)
24. N. Pugno Non-linear statics and dynamics of nanoelectromechanical systems based on nanoplates and nanowires J. Nanoeng. Nanosys. 219 2005 29 40
25. N.M. Pugno Thermomechanical stresses in fullerenes at nanotube J. Nanomaterials 156724 2008 2008
26. C.Q. Ru Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube J. Appl. Phys. 87 2000 7227 7231
27. C.Q. Ru Effective bending stiffness of carbon nanotubes Phys. Rev. B Condens. Matter 62 2000 9973 9976 (Pubitemid 32332459)
28. C.Q. Ru Elastic buckling of single-walled carbon nanotube ropes under high pressure Phys. Rev. B Condens. Matter 62 2000 10405 10408 (Pubitemid 32332505)
29. C.Q. Ru Axially compressed buckling of a double walled carbon nanotube embedded in an elastic medium J. Mech. Phys. Solids 49 2001 1265 1279 (Pubitemid 32421470)
30. C.Q. Ru Degraded axial buckling strain of multiwalled carbon nanotubes due to interlayer slips J. Appl. Phys. 89 2001 3426 (Pubitemid 32326153)
31. T. Rueckes, K. Kim, E. Joselevich, G.Y. Tseng, C.L. Cheung, and C.M. Lieber Carbon nanotube-based nonvolatile random access memory for molecular computing Science 289 2000 94 97 (Pubitemid 30463297)
32. R. Saito, G. Dresselhous, and M.S. Dresselhous Physical Properties of Carbon Nanotubes first ed. 1998 Imperial College Press London
33. S. Sapmaz, M. YaBlanter, L. Gurevich, and H.S.J. van der Zant Carbon nanotubes as nanoelectromechanical systems Phys. Rev. B 67 2003 235414
34. H.J. Shen Compressive and tensile properties of Ar filled carbon nano-peapods Mater. Lett. 61 2007 527
35. W.B. Smith, and E.D. Luzzi Formation mechanism of fullerene peapods and coaxial tube: a path to large scale synthesis Chem. Phys. Lett. 321 2000 169 174
36. 60 in carbon nanotubes Nature 396 1998 323 324
37. A.N. Sohi, and R. Naghdabadi Torsional buckling of carbon nanopeapods Carbon 45 2007 952 957 (Pubitemid 46546481)
38. A.N. Sohi, and R. Naghdabadi Stability of single-walled carbon nanopeapods under combined axial compressive load and external pressure Physica E 41 2009 513 517
39. C. Thomsen, S. Reich, H. Jantoljak, I. Loa, K. Syassen, M. Burghard, G.S. Duesberg, and S. Roth Raman spectroscopy on single- and multi-walled nanotubes under high pressure Appl. Phys. A 69 1999 309 312
40. S.P. Timoshenko, and J.M. Gere Theory of Elastic Stability 1961 McGraw-Hill New York
41. 60 encapsulation into single-wall carbon nanotubes J. Phys. Chem. B 107 2003 14185 14190
42. 60 with carbon nanotubes and graphite Phys. Rev. Lett. 90 095501 2003
43. X. Wang, and H.K. Yang Bending stability of multiwalled carbon nanotubes Phys. Rev. B 73 085409 2006
44. 60 fullerenes Carbon 47 2009 507 512
45. B.I. Yakobson, C.J. Brabec, and J. Bernholc Nanomechanics of carbon tubes: instabilities beyond linear response Phys. Rev. Lett. 76 1996 2511 2514
46. H.K. Yang, and X. Wang Torsional buckling of multi-wall carbon nanotubes embedded in an elastic medium Compos. Struct. 77 2007 182 192 (Pubitemid 44405365)
47. J. Yoon, C.Q. Ru, and A. Mioduchowski Vibration of an embedded multiwall carbon nanotube Compos. Sci. Technol. 63 2003 1533 1545
48. H.W. Zhang, L. Wang, and J.B. Wang Computer simulation of buckling behavior of double-walled carbon nanotubes with abnormal interlayer distances Comput. Mater. Sci. 39 2007 664
49. Q. Zheng, and Q. Jiang Multiwalled carbon nanotubes as gigahertz oscillators Phys. Rev. Lett. 88 045503 2002