Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces

Composites Science and Technology

Volumn 63, Issue 11, 2003, Pages 1517-1524

  Li, Chunyu ^a   Chou, Tsu Wei ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

A. Nanostructures; Atomistic modelling; B. Mechanical properties; C. Computational simulation; Carbon nanotube; Nanomechanics

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; DEFORMATION; ELASTIC MODULI; MOLECULAR STRUCTURE; VAN DER WAALS FORCES;

SHEAR FORCES;

CARBON NANOTUBES;

ELASTIC MODULUS; NANOTECHNOLOGY;

EID: 0012393080     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-3538(03)00072-1     Document Type: Article

References (28)

1. Ijima S. Helical microtubules of graphitie carbon Nature 354 6348 1991 56-58
2. Thostanson E.T. Ren Z. Chou T.W. Advances in the science and technology of carbon nanotubes and their composites: a review Comp. Sci. Technol. 61 2001 1899-1912
3. Thostenson E.T. Chou T.W. Aligned multi-walled carbon nanotube-reinforced composites: processing and mechanical characterization J. Phys. D-Appl. Phys. 35 16 2002 L77-80
4. Treacy M.M.J. Ebbesen T.W. Gibson T.M. Exceptionally high Young's modulus observed for individual carbon nanotubes Nature 381 1996 680-687
5. Wong E.W. Sheehan P.E. Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes Science 277 1997 1971-1975
6. Salvetat J.P. Bonard J.M. Thomson N.H. Kulik A.J. Farro L. Bennit W. Zuppiroli L. Mechanical properties of carbon nanotubes J. Appl. Phys. A 69 1999 255-260
7. Yu M.F. Lourie O. Dyer M. Moloni K. Kelly T. Strength and breaking mechanism of multi-walled carbon nanotubes under tensile load Science 287 2000 637-640
8. Iijima S. Brabec C. Maiti A. Bernholc J. Structural flexibility of carbon nanotubes J. Chem. Phys. 104 5 1996 2089-2092
9. Yakobson B.I. Brabec C.J. Bernholc J. Nanomechanics of carbon tubes: instabilities beyond linear range Phys. Rev. Lett. 76 14 1996 2511-2514
10. Hernandez E. Goze C. Bernier P. Rubio A. Elastic properties of C and BxCyNz composite nanotubes Phys. Rev. Lett. 80 20 1998 4502-4505
11. Sanchez-Portal D. Artacho E. Solar J.M. Rubio A. Ordejon P. Ab initio structural, elastic, and vibrational properties of carbon nanotubes Phys. Rev. B 59 19 1999 12678-12688
12. Lu J.P. Elastic properties of carbon nanotubes and nanoropes Phys. Rev. Lett. 79 7 1997 1297-1300
13. Popov V.N. Van Doren V.E. Balkanski M. Elastic properties of single-walled carbon nanotubes Phys. Rev. B 61 4 2000 3078-3084
14. Arroyo M. Belytschko T. An atomistic-based finite deformation membrane for single layer crystalline films J. Mech. Phys. Solids 50 9 2002 1941-1977
15. Li C. Chou T.W. A structural mechanics approach for the analysis of carbon nanotubes Int. J. Solids Struct. 40 10 2003 2487-2499
16. Cumings J. Zettl A. Low-friction nanoscale linear bearing realized from multiwall carbon nanotubes Science 289 5479 2000 602-604
17. Kelly B.T. Physics of graphite 1981 Applied Science Press London
18. Lennard-Jones J.E. The determination of molecular fields: from the variation of the viscosity of a gas with temperature Proc. Roy. Soc. 106A 1924 441
19. Battezzatti L. Pisani C. Ricca F. Equilibrium conformation and surface motion of hydrocarbon molecules physisorbed on graphite J. Chem. Soc. 71 1975 1629-1639
20. Yang Y.B. Shieh M.S. Solution method for nonlinear problems with multiple critical-points AIAA J. 28 1990 2110-2116
21. Cornell W.D. Cieplak P. Bayly C.I. Gould I.R. Mez K.M. Ferguson D.M. et-al A 2nd generation force-field for the simulation of proteins, nucleic-acids, and organic-molecules J. Am. Chem. Soc. 117 19 1995 5179-5197
22. Dresselhaus M.S. Dresselhaus G. Saito R. Physics of carbon nanotubes Carbon 33 7 1995 883-891
23. Krishnan A. Dujardin E. Ebbesen T.W. Yianilos P.N. Treny M.M.J. Young's modulus of single-walled nanotubes Phys. Rev. B 58 20 1998 14013-14019
24. Jorgensen W.L. Severance D.L. Aromatic aromatic interactions- free-energy profiles for the benzene dimer in water, chloroform, and liquid benzene J. Am. Chem. Soc. 112 2 1990 4768-4774
25. Zumdahl S.S. Chemistry 2nd ed. 1989 D.C. Heath and Co Lexington (MA)
26. Riks E. Incremental approach to the solution of snapping and buckling problems Int. J. Solids Struct. 15 7 1979 529-551
27. Yang Y.B. McGuire M. A work control method for geometrically nonlinear analysis Middleton J. Pande G.N. Proc. 1985 Int. Conf. Num. Meth. Engng. 1985 913-921 University College Swansea Wales (UK)
28. Ru C.Q. Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube J. Appl. Phys. 87 2000 7227-7231