Wave characteristics of carbon nanotubes

International Journal of Solids and Structures

Volumn 43, Issue 2, 2006, Pages 254-265

  Wang, Q ^a   Varadan, V K ^b  

^a University of Central Florida   (United States)

^b 3202 Bell Engineering Center   (United States)

Author keywords

Bending rigidity; Carbon nanotubes; Continuum models; Cut off frequency; Phase velocity; Timoshenko beam model; Wave propagation

Indexed keywords

ATOMIC PHYSICS; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

BENDING RIGIDITY; CUT-OFF FREQUENCY; PHASE VELOCITY;

CARBON NANOTUBES;

EID: 28044451778     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.02.047     Document Type: Article

References (32)

1. G.A. Antonelli, and H.J. Maris Picosecond ultrasonics study of the vibrational modes of a nanostructure Journal of Applied Physics 91 2002 3261 3267
2. P. Ball Roll up for the revolution Nature (London) 414 2001 142 144
3. R.H. Baughman, A.A. Zakhidov, and W.A. de Heer Carbon nanotubes-the route toward applications Science 297 2002 787 792
4. E.B. Brauns Complex local dynamics in DNA on the picosecond and nanosecond time scales Physical Review Letters 88 2002 158101-1-4
5. M.R. Falvo, G.J. Clary, R.M. Taylor, V. Chi, and F.P. Brooks Bending and buckling of carbon nanotubes under large strain Nature 389 1997 582 584
6. K.F. Graff Wave motions in solids 1975 Dover Publications Inc. New York
7. S. Iijima Helical microtubules of graphitic carbon Nature (London) 354 1991 56 58
8. S. Iijima, C. Brabec, A. Maiti, and J. Bernholc Structural flexibility of carbon nanotubes Journal of Chemical Physics 104 1996 2089 2092
9. T. Jeon, and K. Kim Terahertz conductivity of anisotropic single walled carbon nanotube films Applied Physics Letters 80 2002 3403 3405
10. W. Knap Nonresonant detection of terahertz radiation in field effect transistors Journal of Applied Physics 91 2002 9346 9353
11. A. Krishnan, E. Dujardin, T. Ebbesen, P.N. Yianilos, and M.M.J. Treacy Young's modulus of singled-walled nanotubes Physical Review B 58 1998 14043 14049
12. K.T. Lau Interfacial bonding characteristics of nanotube/polymer composites Chemical Physics Letters 370 2003 399 405
13. C. Li, and T.W. Chou A structural mechanics approach for the analysis of carbon nanotubes International Journal of Solids and Structures 40 2003 2487 2499
14. R. Parnes, and A. Chiskis Buckling of nano-fiber reinforced composites: a re-examination of elastic buckling Journal of the Mechanics and Physics of Solids 50 2002 855 879
15. P. Poncharal, Z.L. Wang, D. Ugarte, and W.A. de Heer Electrostatic deflections and electromechanical resonances of carbon nanotubes Science 283 1999 1513 1516
16. V.N. Popov, and V.E.V. Doren Elastic properties of single-walled carbon nanotubes Physical Review B 61 2000 3078 3084
17. B. Reulet Acoustoelectric Effects in Carbon Nanotubes Physical Review Letters 85 2000 2829 2832
18. C.Q. Ru Effective bending stiffness of carbon nanotubes Physical Review B 62 2000 9973 9976
19. C.Q. Ru Elastic bucking of singled-walled carbon nanotubes ropes under high pressure Physical Review B 62 2000 10405 10408
20. C. Sirtori Applied physics: bridge for the terahertz gap Nature (London) 417 2002 132 133
21. S.P. Timoshenko On the correction for shear of the differential equation for transverse vibrations of prismatic bars Philosophical Magazine 41 1921 744 746
22. M.M.J. Treacy, T.W. Ebbesen, and T.M. Gibson Exceptionally high Young's modulus observed for individual carbon nanotubes Nature (London) 381 1996 680 687
23. Q. Wang Effective in-plane stiffness and bending rigidity of armchair and zigzag carbon nanotubes International Journal of Solids and Structures 41 2004 5451 5461
24. Q. Wang, and V.K. Varadan Stability analysis of carbon nanotubes via continuum models Smart Materials and Structures 14 2005 281 286
25. Q. Wang, T. Hu, G. Chen, and Q. Jiang Bending instability characteristics of double-walled carbon nanotubes Physical Review B 71 2005 045403-1-8
26. E.W. Wong, P.E. Sheehan, and C.M. Lieber Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes Science 277 1997 1971 1975
27. B.I. Yakobson, C.J. Brabec, and J. Bernholc Nanomechanics of carbon tubes: instabilities beyond linear range Physical Review Letters 76 1996 2511 2514
28. B.I. Yakobson, M.P. Campbell, C.J. Brabec, and J. Bernholc High strain rate fracture and C-chain unraveling in carbon nanotubes Computational Materials Science 8 1997 241 248
29. J. Yoon, C.Q. Ru, and A. Mioduchowski Vibration of an embedded multiwall carbon nanotubes Composites Science and Technology 63 2003 1533 1542
30. J. Yoon, C.Q. Ru, and A. Mioduchowski Sound wave propagation in multiwall carbon nanotubes Journal of Applied Physics 93 2003 4801 4806
31. J. Yoon, C.Q. Ru, and A. Mioduchowski Timoshenko-beam effects on transverse wave propagation in carbon nanotubes Composites Part B: Engineering 35 2004 87 93
32. J. Yu, R.K. Kalia, and P. Vashishta Phonons in graphitic tubules: a tight-binding molecular dynamics study Journal of Chemical Physics 103 1995 6697 6705