On the effective elastic moduli of carbon nanotubes for nanocomposite structures

Composites Part B: Engineering

Volumn 35, Issue 2, 2004, Pages 95-101

  Lau, Kin Tak ^a   Chipara, Mircea ^b   Ling, Hang Yin ^a   Hui, David ^c  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b INDIANA UNIVERSITY   (United States)

^c UNO College of Engineering   (United States)

Author keywords

A. Nanostructures; B. Mechanical properties; Carbon nanotubes

Indexed keywords

CHEMICAL BONDS; ELASTIC MODULI; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MOLECULAR DYNAMICS; NANOSTRUCTURED MATERIALS; STRENGTH OF MATERIALS; TENSILE STRESS; YIELD STRESS;

MULTIWALL NANOTUBES (MWNT); POLYMERIC MATRICES;

CARBON NANOTUBES;

EID: 1242298805     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2003.08.008     Document Type: Article

References (35)

1. Iijima S. Helical microtubes of graphitics carbon. Nature (London). 354:1991;56-58.
2. Nardelli M.B., Yakobson B.I., Bernholc J. Brittle and ductile behaviour in carbon nanotubes. Phys Rev Lett. 81:(21):1998;4656-4659.
3. Dresselhaus M.S., Dresselhaus G., Avouris P. Carbon nanotubes synthesis, structure, properties, and applications. 2000;Springer, Berlin.
4. Schadler L.S., Giannaris S.C., Ajayan P.M. Load transfer in carbon nanotube epoxy composites. Appl Phys Lett. 73:(26):1998;3842-3844.
5. Fisher F.T., Bradshaw R.D., Brinson L.C. Effects of nanotube waviness on the modulus of nanotube-reinforced polymers. Appl Phys Lett. 80:(24):2002;4647-4649.
6. Lau K.T., Shi S.Q. Failure mechanisms of carbon nanotube/epoxy composites pre-treated in different temperature environments. Carbon. 40:2002;2961-2973.
7. Cooper C.A., Cohen S.R., Barber A.H., Wagner H.D. Detachment of nanotubes from a polymer matrix. Appl Phys Lett. 81:(20):2002;3873-3875.
8. Liao K., Li S. Interfacial characteristics of a carbon nanotube-polystryene composite system. Appl Phys Lett. 79:(25):2001;4225-4227.
9. Lordi V., Yao N. Molecular mechanics of binding in carbon nanotube polymer composites. J Mater Res. 15:(12):2000;2770-2779.
10. Wagner H.D., Lourie O., Feldman Y., Tenne R. Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix. Appl Phys Lett. 72:(2):1998;188-190.
11. Lau K.T. Interfacial bonding characteristics of nanotubes/polymer composites. Chem phys Lett. 370:2003;399-405.
12. Wong W.E., Sheehan P.E., Lieber C.M. Nanobeam mechanics: elasticity, Strength and Toughness of Nanorods and Ananotubes. Science. 277:1997;1971-1975.
13. Yu M.F., Lourie O., Dyer M.J., Moloni K., Kelly T.F., Ruoff R.S. Strength and breaking mechanics of multiwalled carbon nanotubes under tensile load. Science. 287:2000;637-640.
14. Lau K.T., Hui D. The revolutionary creation of new advanced materials - carbon nanotube composites. Compos Part B Engng. 33:2002;263-277.
15. Lennard-Jones J.E. The determination of molecular fields: from the variation of the viscosity of a gas with temperature. Proc R Soc. A106:1924;441.
16. Chang T.C., Gao H.J. Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J Mech Phys Solid. 51:2003;1059-1074.
17. Lu J.P. Elastic properties of single and multi-layered nanotubes. J Phys Chem Solids. 58:(11):1997;1649-1652.
18. Zhou G., Duan W.H., Gu B.L. First-principles study on morphology and mechanical properties of single-walled carbon nanotube. Chem Phys Lett. 333:2001;344-349.
19. Lier G.V., Alsenoy C.V., Doren V.V., Geerlings P. Ab initio study of the elastic properties of single-walled carbon nanotubes and graphene. Chem Phys Lett. 326:2000;181-185.
20. Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N., Treacy M.M.J. Young's modulus of single-walled nanotubes. Phys Rev B. 58:(20):1998;14013-14019.
21. Sohlberg K., Sumpter B.G., Tuzun R.E., Noid D.W. Continuum methods of mechanics as a simplified approach to structural engineering of nanostructures. Nanotechnology. 9:1999;30-36.
22. Ru C.Q. Effective bending stiffness of carbon nanotubes. Phys Rev B. 62:(15):2000;9973-9976.
23. Ru C.Q. Degarded axial buckling strain of multiwalled carbon nanotubes due to interlayer slip. J Appl Phys. 89:(6):2001;3426-3433.
24. Ru C.Q. Elastic models for carbon nanotubes. Encyclopaedia of nanoscience and nanotechnology. 2003;American Scientific Publishers. [in press].
25. Wang C.Y., Ru C.Q., Mioduchowski A. Axially compressed buckling of pressured multiwalled carbon nanotubes. Int J Solids Struct. 2003;. [in press].
26. Tu Z.C., Ou-yang Z.C. Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's moduli dependent on layer number. Phys Rev B. 65:2002;233-407.
27. Odegard G.M., Gates T.S., Nicholson L.M., Wise K.E. Equivalent-continuum modelling of nano-structured materials. Compos Sci Technol. 62:2002;1869-1880.
28. Li C.Y., Chou T.W. A structural mechanics approach for the analysis of carbon nanotubes. Int J Solid Struct. 40:2003;2487-2499.
29. Li C.Y., Chou T.W. Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces. Compos Sci Technol. 2003;. [in press].
30. Demczyk B.G., Wang Y.M., Cumings J., Hetman M., Han W., Zettle A., Ritchie R.O. Mater Sci Engng A. 334:2002;173-178.
31. Cumings J., Zettl A. Low-friction nanoscale linear bearing realised from multiwall carbon nanotubes. Science. 289:2000;602-604.
32. Lau K.T., Shi S.Q. Failure mechanics of carbon nanotube/epoxy composites pretreated in different temperature environments. Carbon. 40:2002;2965-2968.
33. Wei C.Y., Cho K., Srivastava D. Tensile yielding of multiwall carbon nanotubes. Appl Phys Lett. 82:(15):2003;2512-2514.
34. Li F., Cheng H.M., Bai S., Su G., Dresselhaus M.S. Tensile strength of single-walled carbon nanotubes directly measured from their macroscopic ropes. Appl Phys Lett. 77:(20):2000;3161-3163.
35. Yakobson B.I., Brabec C.J., Bernhoc J. Nanomechanics of carbon tubes: Instabilities beyond linear response. Phys Rev Lett. 76:(14):1996;2511-2514.