238
Views
49
CrossRef citations to date
0
Altmetric
Original Articles

Studies of Size Effects on Carbon Nanotubes' Mechanical Properties by Using Different Potential Functions

&
Pages 9-16 | Received 13 May 2005, Accepted 27 Jun 2005, Published online: 19 Aug 2006

References

  • Zhao , Q. Z. , Nardelli , M. B. and Bernholc , J. J. 2002 . Ultimate strength of carbon nanotubes: A theoretical study . Phys. Rev. B. , 65 : 144105
  • Xie , S. , Li , W. , Pan , Z. , Chang , B. and Sun , L. 2000 . Mechanical and physical properties on carbon nanotube . J. Phys. Chem. Solids. , 61 : 1153 – 1158 .
  • Xiao , T. and Liao , K. 2002 . Nonlinear elastic properties of carbon nanotubes subjected to large axial deformations . Phys. Rev. B. , 66 : 153407
  • Salvetat , J. P. , Bonard , J. M. , Thomson , N. H. , Kulik , A. J. , Forro , L. , Benoit , W. and Zuppiroli , L. 1999 . Mechanical properties of carbon nanotubes . Appl. Phys. A. , 69 : 255 – 260 .
  • Wong , E. W. , Sheehan , P. E. and Lieber , C. M. 1997 . Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes . Science , 277 : 1971 – 1975 .
  • Krishnan , A. , Dujardin , E. , Ebbesen , T. W. , Yianilos , P. N. and Treacy , M. M.J. 1998 . Young's modulus of single‐walled nanotubes . Phys. Rev. B. , 58 : 14013
  • Treacy , M. M.J. , Ebbesen , T. W. and Gibson , J. M. 1996 . Exceptionally high Young's modulus observed for individual carbon nanotubes . Nature , 381 : 678 – 680 .
  • Natsuki , K. T.T. and Endo , M. 2004 . Effects of carbon nanotube structures on mechanical properties . Appl. Phys. A , 79 : 117 – 124 .
  • Rappé , A. K. , Casewit , C. J. , Colwell , K. S. , Goddard III , W. A. and Skiff , W. M. 1992 . UFF, a full periodic‐table force‐field for molecular mechanics and molecular dynamics simulations . J. Amer. Chem. Soc. , 114 : 10024 – 10035 .
  • Cornwell , C. F. and Wille , L. T. 1997 . Elastic properties of single‐walled carbon nanotubes in compression . Solid State Comm. , 101 : 555 – 558 .
  • Sinnott , S. B. , Shenderova , O. A. , White , C. T. and Brenner , D. W. 1998 . Mechanical properties of nanotubule fibers and composites determined from theoretical calculations and simulations . Carbon , 36 : 1 – 9 .
  • Brenner , D. W. 1990 . Empirical potential for hydrocarbons for use in simulating the chemical vapor‐deposition of diamond films . Phys. Rev. B. , 42 : 9458 – 9471 .
  • Li , C. Y. and Chou , T. W. 2003 . A structural mechanics approach for the analysis of carbon nanotubes . Int. J. Solid Struct. , 40 : 2487 – 2499 .
  • Yao , N. and Lordi , V. 1998 . Young's modulus of single‐walled carbon nanotubes . J. Appl. Phys. , 84 : 1939 – 1943 .
  • Chang , T. C. and Gao , H. J. 2003 . Size‐dependent elastic properties of a single‐walled carbon nanotube via a molecular mechanics model . J. Mech. Phys. Solids , 51 : 1059 – 1074 .
  • Goze , C. , Vaccarini , L. , Henrard , L. , Bernier , P. , Hernandez , E. and Rubio , A. 1999 . Elastic and mechanical properties of carbon nanotubes . Synth. Metals , 103 : 2500 – 2501 .
  • Brenner , D. W. , Shenderova , O. A. , Harrison , J. A. , Stuart , S. J. , Ni , B. and Sinnott , S. B. 2002 . A second‐generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons . J. Phys. Condens. Matter , 14 : 783 – 802 .
  • Belytschko , T. , Xiao , S. P. , Schatz , G. C. and Ruoff , R. 2002 . Atomistic simulations of nanotube fracture . Phys. Rev. B , 65 : 235430
  • Tersoff , J. 1988 . New empirical‐approach for the structure and energy of covalent systems . Phys. Rev. B , 37 : 6991 – 7000 .
  • Kelly , B. T. 1981 . Physics of Graphite Vol. 3 , London : Applied Science .
  • Girifalco , C. A. and Lad , R. A. 1956 . Energy of cohesion, compressibility, and the potential energy functions of the graphite system . J. Chem. Phys. , 25 : 693 – 697 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.