In the present study 3D finite element (FE) analysis has been used to evaluate Young's modulus, shear modulus and coefficient of thermal expansion (CTE) of single-walled carbon nanotubes (SWCNTs). Both armchair and zigzag SWCNTs have been analyzed and some important observations have been made in regard to dependence of elastic moduli and CTE of SWCNTs on important parameters.
Iijima, S. (1991). Helical Microtubules of Graphitic Carbon, Nature (London), 354: 56—58.
2.
Dresselhaus, M.S., Dresselhaus, G. and Saito, R. (1995). Physics of Carbon Nanotubes , Carbon, 33(7): 883—891.
3.
Lau, K.-T. and Hui, D. (2002). The Revolutionary Creation of New Advanced Materials-carbon Nanotube Composites, Composites Part B: Engineering, 33(4): 263—277.
4.
Thostenson, E.T., Ren, Z. and Chou, T.-W. (2001). Advances in the Science and Technology of Carbon Nanotubes and their Composites: A Review, CompositesScience and Technology, 61(13): 1899—1912.
5.
Lu, J.P. (1997). Elastic Properties of Carbon Nanotubes and Nanoropes, Physical Review Letter, 79(7): 1297—300.
6.
Qian, D., Wagner, G.J., Liu, W.K., Yu, M.-F. and Ruoff, R.S. (2001). Mechanics of Carbon Nanotubes, Applied Mechanics Review, 55(6): 495—533.
7.
Odegard, G.M. , Gates, T.S., Nicholson , L.M. and Wise, K.E. (2002). Equivalent-continuum Modeling of Nano-structured Materials, CompositesScience and Technology, 62(14): 1869—1880.
8.
Li, C. and Chou, T.-W. (2003). A Structural Mechanics Approach for the Analysis of Carbon Nanotubes, International Journal of Solid Structures , 40(10): 2487—2499.
9.
Tserpes, K.I. and Papanikos, P. (2005). Finite Element Modeling of Single-walled Carbon Nanotubes, Composites Part B: Engineering , 36(5): 468—477.
10.
Lau, K.-T., Chipara, M., Ling, H.-Y. and Hui, D. (2003). On the Effective Elastic Moduli of Carbon Nanotubes for Nanocomposites Structures, Composites Part B: Engineering , 35(2): 95—101.
11.
Jin, Y. and Yuan, F.G. (2003). Simulation of Elastic Properties of Singled-walled Carbon Nanotubes, CompositesScience and Technology, 63(11): 1507—1515.
12.
Yakobson, B.I. , Brabec, C.J. and Bernholc, J. (1996). Nanomechanics of Carbon Tubes: Instabilities Beyond Linear Response , Physical Review Letter, 76(14): 2511—2514.
13.
Tu, Z.-C. and Ou-Yang, Z.-C. (2002). Singled-walled and Multi-walled Carbon Nanotubes Viewed as Elastic Tubes with the Effective Young's Moduli Dependent on Layer Number, Physical Review B, 65(23): 233407-1—233407-4.
14.
Maniwa, Y., Fujiwara, R., Kira, H., Tou, H., Kataura, H., Suzuki, S., Achiba, Y., Nishibori, E., Takata, M., Sakata, M., Fujiwara, A. and Suematsu, H. (2001). Thermal Expansion of Single-walled Carbon Nanotube (SWNT) Bundles: X-ray Diffraction Studies, Physical Review B, 64(24): 241402-1—241402-3.
15.
Maniwa, Y. , Fujiwara, R., Kira, H., Tou, H., Nishibori, E., Takata, M., Sakata, M., Fujiwara, A., Zhao, X., Iijima, S. and Ando, Y. (2001). Multiwalled Carbon Nanotubes Grown in Hydrogen Atmosphere: An X-ray Diffraction Study, Physical Review B, 64(7): 073105-1—073105-4.
16.
Yosida, Y. (2000). High-temperature Shrinkage of Single-walled Carbon Nanotube Bundles up to 1600 K, Journal of Applied Physics , 87(7): 3338—3341.
17.
Raravikar, N.R. , Keblinski, P., Rao , A.M., Dresselhaus, M.S., Schadler, L.S. and Ajayan, P.M. (2002). Temperature Dependence of Radial Breathing Mode Raman Frequency of Singled-walled Carbon Nanotubes , Physical Review B, 66(23): 235424-1—235424-4.
18.
Schelling, P.K. and Keblinski , P. (2003). Thermal Expansion of Carbon Structure, Physical Review B, 68(3): 035425-1—035425-7.
19.
Jiang, H., Liu, B., Huang, Y. and Hwang, K.C. (2004). Thermal Expansion of Single Wall Carbon Nanotubes , Journal of Engineering Materials and Technology, 126: 265—270.
20.
Kwon, Y.-K. , Berber, S. and Tomanek, D. (2004). Thermal Contraction of Carbon Fullerenes and Nanotubes , Physical Review Letter , 92(1): 015901-1—015901-4.
21.
Cao, G., Chen, X. and Kysar, J.W. (2006). Thermal Vibration and Apparent Thermal Contraction of Single-walled Carbon Nanotubes, Journal of the Mechanics andPhysics of Solids, 54(6): 1206—1236.
22.
Rappe, A.K. , Casewit, C.J., Colwell , K.S., Goddard, W.A. and Skiff, W.M. (1992). UFF, a Full Periodic-table Force Field for Molecular Mechanics and Molecular Dynamics Simulations, Journal of American Chemical Society , 114: 10024—10035.
23.
Cornell, W.D. , Cieplak, P., Bayly , C.I., Gould, I.R., Merz, K.M., Ferguson, D., N., Spellmeyer, D.C., Fox, T., Caldwell, J. W. and Kollman, P.A. (1995). A Second-generation Force Field for the Simulation of Proteins, Nucleic Acids and Organic Molecules , Journal of American Chemical Society, 117: 5179—5197.
24.
Jorgensen, W.L. and Severance , D.L. (1990). Aromatic Aromatic Interactions-free Energy Profiles for the Benzene Dimer in Water Chloroform and Liquid Benzene, Journal of American Chemical Society, 112: 4768—4774.