Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and inextensional modes of vibration

Computational Materials Science

Volumn 47, Issue 4, 2010, Pages 1049-1059

  Gupta, S S ^a   Bosco, F G ^a   Batra, R C ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Elastic moduli; Equivalent continuum structures; Inextensional modes; Vibrations; Wall thickness

Indexed keywords

AXIAL WAVE NUMBERS; CIRCUMFERENTIAL WAVE NUMBERS; CYLINDRICAL SHELL; EQUIVALENT CONTINUUM; FIRST-ORDER; FREE END; FREE VIBRATION; GEOMETRIC PARAMETER; HOLLOW CYLINDERS; INEXTENSIONAL MODES; ISOTROPIC MATERIALS; LINEAR ELASTIC; LINEAR ELASTICITY THEORY; MATERIAL PARAMETER; MEAN DIAMETER; MM3 POTENTIAL; MODE SHAPES; POISSON'S RATIO; RADIAL BREATHING MODE; RAYLEIGH; SHEAR DEFORMABLE SHELLS; SIMILARITIES AND DIFFERENCES; SMALL ASPECT RATIO; TORSIONAL MODES; TRANSVERSE INERTIA EFFECT; VIBRATIONAL MODES; WALL THICKNESS; YOUNG'S MODULUS;

ASPECT RATIO; BOND LENGTH; CARBON NANOTUBES; CYLINDERS (SHAPES); ELASTIC MODULI; ELASTICITY; POISSON RATIO; PRESSURE DROP; SINGLE-WALLED CARBON NANOTUBES (SWCN); STEREOCHEMISTRY; THREE DIMENSIONAL; TUBES (COMPONENTS);

SHELLS (STRUCTURES);

EID: 74149089222     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2009.12.007     Document Type: Article

References (40)

1. Sohlberg K., Sumpter B.G., Tuzun R.E., and Noid D.W. Nanotechnology 9 (1998) 30-36
2. Yao N., and Lordi V. J. Appl. Phys. 84 (1998) 1939-1943
3. Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N., and Treacy M.M.J. Phys. Rev. B 58 (1998) Art. No. 14013
4. Poncharal P., Wang Z.L., Urarte D., and de Heer W.A. Science 283 (1999) 1513-1516
5. Li C., and Chou T.W. Appl. Phys. Lett. 84 (2004) 121-123
6. Yoon J., Ru C.Q., and Mioduchowski A. J. Appl. Mech. 72 (2005) 10-17
7. Agrawal P.M., Sudalayandi B.S., Raff L.M., and Komanduri R. Comput. Mater. Sci. 38 (2006) 271-281
8. Wang Q., and Varadan V.K. Int. J. Solids Struct. 43 (2006) 254-265
9. Robertson D.H., Brenner D.W., and Mintmire J.W. Phys. Rev. B 45 (1992) 12592-12595
10. Yakobson B.I., Brabec C.J., and Bernholc J. Phys. Rev. Lett. 76 (1996) 2511-2514
11. Wang L., Zheng Q., Liu J.Z., and Jiang Q. Phys. Rev. Lett. 95 (2005) Art. No. 105501
12. Sears A., and Batra R.C. Phys. Rev. B 69 (2004) Art. No. 235406
13. Ru C.Q. Phys. Rev. B 62 (2000) 9973-9976
14. Wang C.Y., Ru C.Q., and Mioduchowski A. J. Appl. Mech. 71 (2004) 622-631
15. Xin Z., Jianjun Z., and Zhong O.Y. Phys. Rev. B 62 (2000) 13692-13696
16. Arroyo M., and Belytschko T. J. Mech. Phys. Solids 50 (2002) 1941-1977
17. Pantano A., Parks D.M., and Boyce M.C. J. Mech. Phys. Solids 52 (2004) 789-821
18. Tu Z., and Ou-Yang Z. Phys. Rev. B 65 (2002) Art. No. 233407
19. Batra R.C., and Gupta S.S. J. Appl. Mech. 75 (2008) Art. No. 061010
20. Natsuki T., Tantrakarn K., and Endo M. Carbon 42 (2004) 39-45
21. Mir M., Hosseini A., and Majzoobi G.H. Comput. Mater. Sci. 43 (2008) 540-548
22. Wang Y., and Zhang L.C. Nanotechnology 19 (2008) Art. No. 75705
23. Allinger N.L., Yuh Y.H., and H Lii J. J. Am. Chem. Soc. 111 (1998) 8551-8566
24. Timoshenko S.P., and Woinowsky-Krieger S. Theory of Plates and Shells. second ed. (1959), McGraw-Hill, New York
25. J.W. Ponder, Computer Code TINKER MOLECULAR MODELLING PACKAGE 4.2, 2004.
26. Blevins R.D. Formulas for Natural Frequencies and Mode Shapes (1979), Van Nostrand Reinhold Company, New York
27. Leissa A.W., and So J. J. Acoust. Soc. Am. 98 (1995) 2122-2135
28. Rao A.M., Richter E., Bandow S., Chase B., Eklund P.C., Williams K.A., Fang S., Subbaswamy K.R., Menon M., Thess A., Smalley R.E., Dresselhaus G., and Dresselhaus M.S. Science 275 (1997) 187-191
29. Richter E., and Subbaswamy K.R. Phys. Rev. Lett. 79 (1997) 2738-2741
30. Saito R., Takeya T., Kimura T., Dresselhaus G., and Dresselhaus M.S. Phys. Rev. B 57 (1998) 4145-4153
31. Lawler H.M., Areshkin D., Mintmire J.W., and White C.T. Phys. Rev. B 72 (2005) Art. No. 233403
32. Kurti J., Kresse G., and Kuzmany H. Phys. Rev. B 58 (1998) R8869
33. Kuzmany H., Burger B., Hulman M., Kurti J., Rinzler A.G., and Smalley R.E. Europhys. Lett. 44 (1998) 518-524
34. Gupta S.S., and Batra R.C. Comput. Mater. Sci. 43 (2008) 715-723
35. Vodenitcharova T., and Zhang L.C. Phys. Rev. B 68 (2003) Art. No. 165401
36. Sanchez-Portal D., Artacho E., and Soler J.M. Phys. Rev. B 59 (1999) 12678-12688
37. User's Manual Finite Element Computer Code ABAQUS 6.6.
38. A. Sears, R.C. Batra, Phys. Rev. B 73 (2006). Art. No. 085410.
39. Batra R.C., and Sears A. Model. Simul. Mater. Sci. Eng. 15 (2007) 835-844
40. S.S. Gupta, F. Bosco, R.C. Batra, J. Appl. Phys. 106 (2009). Art. No. 063527.