Continuum models of multi-walled carbon nanotubes

International Journal of Solids and Structures

Volumn 44, Issue 22-23, 2007, Pages 7577-7596

  Batra, R C ^a   Sears, A ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Buckling; Cantilever bending; MM3 potential; Molecular mechanics simulations; Nanotubes; van der Waals forces

Indexed keywords

BENDING (DEFORMATION); CONTINUUM MECHANICS; MECHANICAL PROPERTIES; MOLECULAR MECHANICS; SINGLE-WALLED CARBON NANOTUBES (SWCN);

CANTILEVER BENDING; MM3 POTENTIAL; MOLECULAR MECHANICS SIMULATIONS;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 34548834430     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.04.029     Document Type: Article

References (26)

1. Allinger N.L., Yuh Y.H., and Lii J.-H. Molecular mechanics - the MM3 force-field for hydrocarbons. Int. J. Am. Chem. Soc. 111 (1989) 8551-8566
2. Arroyo M., and Belytschko T. Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Int. J. Numer. Methods Eng. 59 (2004) 419-456
3. Batra, R.C., Sears, A., pending publication. Uniform radial expansion/contraction of carbon nanotubes and their transverse elastic moduli.
4. Bower C., Rosen R., Jini L., and Zhou O. Deformation of carbon nanotubes in nanotube-polymer composites. Appl. Phys. Lett. 74 (1999) 3317-3319
5. Cumings J., and Zettl A. Low-friction nanoscale linear bearing realized from multiwall carbon nanotubes. Science 289 (2000) 602-604
6. Galanov B.A., Galanov S.B., and Gogotsi Y. Stress-strain state of multiwall carbon nanotubes under internal pressure. J. Nanoparticle Res. 4 (2002) 207-214
7. Li C., and Chou T.-W. Elastic moduli of multi-walled carbon nanotubes and effects of van der Waals forces. Compos. Sci. Technol. 63 (2003) 1517-1524
8. Liew K.M., Wong C.H., He X.Q., Tan M.J., and Meguid S.A. Nanomechanics of single and multiwalled carbon nanotubes. Phys. Rev. B 69 (2004) Art. No. 115429
9. Lourie O., and Wagner H.D. Evaluation of Young's modulus of carbon nanotubes by micro-Raman spectroscopy. J. Mater. Res. 13 (1998) 2418-2422
10. Lourie O., Cos D.M., and Wagner H.D. Buckling and collapse of embedded carbon nanotubes. Phys. Rev. Lett. 81 (1998) 1638-1641
11. Pantano A., Boyce M.C., and Parks D.M. Mechanics of axial compression of single and multi-wall carbon nanotubes. J. Eng. Mat. Tech. 126 (2004) 279-284
12. Ponder J.W. Computer Code: Tinker Molecular Modeling Package (2000), Washington University in St. Loius, St. Louis
13. Qian D., Wagner G.J., Liu W.K., Yu M.F., and Ruoff R.S. Mechanics of carbon nanotubes. Appl. Mech. Rev. 55 (2002) 495-533
14. Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Phys. Rev. B 62 (2000) 16962-16967
15. Salvetat J.-P., Bonard J.-M., Thomson N.H., Kulik A.J., Forro L., Benoit W., and Zuppiroli L. Mechanical properties of carbon nanotubes. Appl. Phys. A 69 (1999) 255-260
16. Sears A., and Batra R.C. Macro-mechanics properties of carbon nanotubes from molecular mechanics simulations. Phys. Rev. B 69 (2004) Art. No. 235406
17. Sears A., and Batra R.C. Buckling of carbon nanotubes under axial compression. Phys. Rev. B 73 (2006) Art. No. 085410
18. Schonenberger C., Bachtold A., Strucnk C., Salvetat J.P., and Forro L. Interface and interaction in multi-wall carbon nanotubes. Appl. Phys. A 69 (1999) 283-295
19. Treacy M.M.J., Ebbesen T.W., and Gibson J.M. Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature 381 (1996) 678-680
20. White C.T., Robertson D.H., and Mintmire J.W. Helical and rotational symmetries of nanoscale graphitic tubules. Phys. Rev. B 47 (1993) 5485-5488
21. Wong E.W., Sheehan P.E., and Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277 (1997) 1971-1976
22. Yakobson B.I., Brabec C.J., and Bernholc J. Nanomechanics of carbon nanotubes: instabilities beyond linear response. Phys. Rev. Lett. 76 (1996) 2511-2514
23. Yu M.F., Lourie O., Dyer M.J., Moloni K., Kelley T., and Ruoff R.S. Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load. Science 287 (2000) 637-640
24. Yu M.-F., Yakobson B.I., and Ruoff R.S. Controlled sliding and pullout of nested shells in individual multiwalled carbon nanotubes. J. Phys. Chem. 104 (2000) 8764-87667
25. Zhang P., Huang Y., Geubelle P.H., Klein P.A., and Hwang K.C. The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials. Int. J. Solids Structures 39 (2002) 3893-3906
26. Zhou X., Zhou J.J., and Ou-Yang Z.C. Strain energy and Young's modulus of single-wall carbon nanotubes calculated from electronic energy-band theory. Phys. Rev. B 62 (2000) 13692-13696