Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element

Mechanics of Materials

Volumn 35, Issue 1-2, 2003, Pages 69-81

  Liu, Y J ^a   Chen, X L ^a  

^a University of Cincinnati   (United States)

Author keywords

Carbon nanotubes; Effective properties; Finite element method; Nanocomposites

Indexed keywords

COMPOSITE MATERIALS; COMPUTER SIMULATION; ELASTIC MODULI; FINITE ELEMENT METHOD; STIFFNESS; VOLUME FRACTION;

REPRESENTATIVE VOLUME ELEMENTS (RVE);

CARBON NANOTUBES;

EID: 0037209907     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(02)00200-4     Document Type: Article

References (38)

1. Bower C., Rosen R., Jin L., Han J.et al. Deformation of carbon nanotubes in nanotube-polymer composites. Applied Physics Letters. 74(22):1999;3317-3319.
2. Buongiorno Nardelli M., Fattebert J.-L., Orlikowski D., Roland C.et al. Mechanical properties, defects and electronic behavior of carbon nanotubes. Carbon. 38(11-12):2000;1703-1711.
3. Chen X.L., Liu Y.J. Multiple-cell modeling of fiber-reinforced composites with the presence of interphases using the boundary element method. Computational Materials Science. 21(1):2001;86-94.
4. Cornwell C.F., Wille L.T. Elastic properties of single-walled carbon nanotubes in compression. Solid State Communications. 101(8):1997;555-558.
5. Fu Y., Klimkowski K.J., Rodin G.J., Berger E.et al. A fast solution method for three-dimensional many-particle problems of linear elasticity. International Journal for Numerical Methods in Engineering. 42:1998;1215-1229.
6. Gao G.H., Cagin T., Goddard W.A. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes. Nanotechnology. 9(3):1998;184-191.
7. Govindjee S., Sackman J.L. On the use of continuum mechanics to estimate the properties of nanotubes. Solid State Communications. 110(4):1999;227-230.
8. Goze C., Bernier P., Henrard L., Vaccarini L.et al. Elastic and mechanical properties of carbon nanotubes. Synthetic Metals. 103(1-3):1999;2500-2501.
9. Halicioglu T. Stress calculations for carbon nanotubes. Thin Solid Films. 312(1-2):1998;11-14.
10. Han J., Globus A., Jaffe R., Deardorff G. Molecular dynamics simulations of carbon nanotube-based gears. Nanotechnology. 8(3):1997;95-102.
11. Hyer M.W. Stress Analysis of Fiber-Reinforced Composite Materials. 1998;McGraw-Hill, Boston.
12. Iijima S. Helical microtubules of graphitic carbon. Nature. 354:1991;568.
13. Jia Z., Wang Z., Xu C., Liang J.et al. Study on poly(methyl methacrylate)/carbon nanotube composites. Materials Science and Engineering: A. 271(1-2):1999;395-400.
14. Kang J.-W., Hwang H.-J. Mechanical deformation study of copper nanowire using atomistic simulation. Nanotechnology. 12(3):2001;295-300.
15. Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N.et al. Young's modulus of single-walled nanotubes. Physical Review B-Condensed Matter. 58(20):1998;14013-14019.
16. Liu, Y.J., Chen, X.L., 2002. Modeling and analysis of carbon nanotube-based composites using the FEM and BEM. Submitted to CMES: Computer Modeling in Engineering and Science.
17. Liu Y.J., Xu N., Luo J.F. Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method. Journal of Applied Mechanics. 67(1):2000;41-49.
18. Lu J.P. Elastic properties of single and multilayered nanotubes. Journal of Physics and Chemistry of Solids. 58(11):1997;1649-1652.
19. Macucci M., Iannaccone G., Greer J., Martorell J.et al. Status and perspectives of nanoscale device modelling. Nanotechnology. 12(2):2001;136-142.
20. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1999;Elsevier, Amsterdam.
21. Nishimura N., Yoshida K.-i., Kobayashi S. A fast multipole boundary integral equation method for crack problems in 3D. Engineering Analysis with Boundary Elements. 23:1999;97-105.
22. Qian D., Dickey E.C., Andrews R., Rantell T. Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Applied Physics Letters. 76(20):2000;2868-2870.
23. 60 in nanotubes. The Journal of Physical Chemistry B. 105(44):2001;10753-10758.
24. Qian, D., Wagner, G.J., Liu, W.K., Yu, M.-F., et al., 2002. Mechanics of carbon nanotubes. Applied Mechanics Reviews, November, to be published.
25. Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Physical Review B. 62(24):2000;16962-16967.
26. Ru C.Q. Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium. Journal of the Mechanics and Physics of Solids. 49(6):2001;1265-1279.
27. Ruoff R.S., Lorents D.C. Mechanical and thermal properties of carbon nanotubes. Carbon. 33(7):1995;925-930.
28. Salvetat J.P., Bonard J.M., Thomson N.H., Kulik A.J.et al. Mechanical properties of carbon nanotubes. Applied Physics A - Materials Science & Processing. 69(3):1999;255-260.
29. Schadler L.S., Giannaris S.C., Ajayan P.M. Load transfer in carbon nanotube epoxy composites. Applied Physics Letters. 73(26):1998;3842-3844.
30. Sinnott S.B., Shenderova O.A., White C.T., Brenner D.W. Mechanical properties of nanotubule fibers and composites determined from theoretical calculations and simulations. Carbon. 36(1-2):1998;1-9.
31. 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(1):1998;30-36.
32. Srivastava D., Menon M., Cho K. Computational nanotechnology with carbon nanotubes and fullerenes. Computing in Science and Engineering. 3(4):2001;42-55.
33. Thostenson E.T., Ren Z.F., Chou T.-W. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology. 61:2001;1899-1912.
34. Timoshenko S.P., Goodier J.N. Theory of Elasticity. 1987;McGraw-Hill, New York.
35. Treacy M.M.J., Ebbesen T.W., Gibson J.M. Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature. 381(6584):1996;678-680.
36. Wagner H.D., Lourie O., Feldman Y., Tenne R. Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix. Applied Physics Letters. 72(2):1998;188-190.
37. Wong E.W., Sheehan P.E., Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science. 277(5334):1997;1971-1975.
38. Yao N., Lordi V. Young's modulus of single-walled carbon nanotubes. Journal of Applied Physics. 84(4):1998;1939-1943.