Effect of temperature on elastic properties of single-walled carbon nanotubes

Journal of Reinforced Plastics and Composites

Volumn 28, Issue 5, 2009, Pages 551-569

  Chen, X ^a   Wang, X ^a   Liu, B Y ^b  

^a Shanghai Jiao Tong University   (China)

^b Shanghai Pesticide Research Institute   (China)

Author keywords

Carbon nanotube; High temperature deformation; Mechanical properties; Micromechanical modeling

Indexed keywords

COMPOSITE MICROMECHANICS; DEFORMATION; ELASTIC MODULI; ELASTICITY; MECHANICAL PROPERTIES; SINGLE-WALLED CARBON NANOTUBES (SWCN); STEREOCHEMISTRY; TEMPERATURE; THERMAL EFFECTS; VIBRATION MEASUREMENT;

ARM-CHAIR NANOTUBES; ARMCHAIR CARBON NANOTUBES; BASIC PARAMETERS; BOND ANGLES; BOND-STRETCHING; EFFECT OF TEMPERATURES; ELASTIC PROPERTIES; ENVIRONMENTAL TEMPERATURES; EULER-BERNOULLI BEAMS; FINITE ELEMENT SIMULATIONS; FORCE CONSTANTS; HIGH TEMPERATURE DEFORMATION; MICROMECHANICAL MODELING; MOLECULAR STRUCTURAL MECHANICS; NANO-SCALE; TORSIONAL RESISTANCES; YOUNG'S MODULUS;

CARBON NANOTUBES;

EID: 61449109057     PISSN: 07316844     EISSN: 15307964     Source Type: Journal    
DOI: 10.1177/0731684407086624     Document Type: Article

References (44)

1. Iijima, S. (1991). Helical Microtubes of Graphitic Carbon, Nature, 354: 56-58.
2. Dresselhaus, M.S., Dresselhaus, G. and Eklund, P.C. (1996). Science of Fullerenes and Carbon Nanotubes, Academic Press, San Diego.
3. Yakobson, B.I., Brabec, C.J. and Bernholc, J. (1996). Nanomechanics of Carbon Tubes: Instability Beyond Linear Response, Physical Review Letters, 76: 2511-2514.
4. Fischer, J.E. (1998). Special Issue on Nanotubes, Appl. Phys. A, 67: 1.
5. Cohen, M.L. (2001). Nanotubes, Nanoscience, and Nanotechnology, Mater. Sci. Eng., 15: 1-11.
6. Lau, K.T., Chong, G., Gao, G.H. et al. (2004). Stretching Process of Single- and Multi-Walled Carbon Nanotubes for Nanocomposite Applications, Carbon, 42: 423-460.
7. Lau, K.T. and Shi, S.Q. (2002). Failure Mechanisms of Carbon Nanotube/Epoxy Composites Pretreated in Different Temperature Environments, Carbon, 40: 2965-2968.
8. 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.
9. 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.
10. Krishnan, A., Dujardinm, E., Ebbesen, T.W., Yianilos, P.N. and Treacy, M.M.J. (1998). Young's Modulus of Single-Walled Nanotubes, Physical Review B, 58 (20). 14013-14019.
11. Yu, M.F., Lourie, O., Dyer, M.J., Moloni, K., Kelly, T.F. and Ruoff, R.S. (2000). Strength and Breaking Mechanism of Multiwalled Carbon Nanotubes under Tensile Load, Science, 287: 637-640.
12. Overney, G., Zhong, W. and Tomanek, D. (1993). Structural Rigidity and Low-Frequency Vibrational Modes of Long Carbon Tubules, Zeitschrift fur Physik D, 27: 93-96.
13. Iijima, S., Brabec, C., Maiti, A. and Bernholc, J. (1996). Structural Flexibility of Carbon Nanotubes, Journal of Chemical Physics, 104 (5). 2089-92.
14. Lu, J.P. (1997). Elastic Properties of Carbon Nanotubes and Nanoropes, Physical Review Letters, 79: 1297-1300.
15. Vaccarini, L., Goze, C., Henrard, L., Hernandez, E., Bernier, P. and Rubio, A. (2000). Mechanical and Electronic Properties of Carbon and Boronnitride Nanotubes, Carbon, 38 (11-12). 1681-1690.
16. Ru, C.Q. (2000). Effective Bending Stiffness of Carbon Nanotubes, Physical Review B, 62 (15). 9973-9976.
17. Belytschko, T., Xiao, S.P., Schatz, G.C. and Ruoff, R.S. (2002). Atomistic Simulations of Nanotube Fracture, Physical Review B, 65: 235-430.
18. Li, C.Y. and Chou, T.S.A. (2003). Structural Mechanics Approach for the Analysis of Carbon Nanotubes, International Journal of Solids and Structures, 40: 2487-2499.
19. Xiao, J.R., Gama, B.A. and Gillespie Jr, J.W. (2005). An Analytical Molecular Structural Mechanics Model for the Mechanical Properties of Carbon Nanotubes, International Journal of Solids and Structures, 42: 3075-3092
20. Li, X. and Bhushan, B. (2002). A Review of Nanoindentation Continuous Stiffness Measurement Technique and its Applications, Material Characterization, 48: 11-36.
21. Li, X., Gao, H. and Catherine, J. (2003). Nanoindentation of Silver Nanowires, Nano Letters, 3: 1495-1498.
22. Li, X., Chang, W.C., Chao, Y.J., Wang, R. and Chang, M. (2004). Nanoscale Structure and Mechanical Characterization of a Natural Nanocomposite Material: The Shell of Red Abalone, Nano Letters, 4: 613-617.
23. Demczyk, B.G., Wang, Y.M., Cumings, J., Hetman, M., Han, W., Zettle, A. and Ritchie, R.O. (2002). Direct Mechanical Measurement of the Tensile Strength and Elastic Modulus of Multiwalled Carbon Nanotubes, Material and Science Engineering A, 334: 173-178.
24. Lau, K.T. (2003). Interfacial Bonding Characteristics of Nanotube/Polymer Composites, Chemical Physics Letters, 370: 399-405.
25. Jin, Y. and Yuan, F.G. (2002). Elastic Properties of Single-Walled Carbon Nanotubes. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 3: 1819-1825.
26. Goze, C., Vaccarini, L., Henrard, L., Bernier, P., Hernandez, E. and Rubio, A. (1999). Elastic and Mechanical Properties of Carbon Nanotubes, Synthetic Metals, 103: 2500-2501.
27. Hernandez, E., Goze, C., Bernier, P. and Rubio, A. (1999). Elastic Properties of Single-Wall Nanotubes, Applied Physics A, 68: 287-292.
28. Popov, V.N., Van Doren, V.E. and Balkanski, M. (2002). Elastic Properties of Single-Walled Carbon Nanotubes, Physical Review B, 61: 3078-3084
29. Wang, X.Y. and Wang, X. (2004). Numerical Simulation for Bending Modulus of Carbon Nanotubes and Some Explanations for Experiment, Composites: Part B, 35: 79-864.
30. Wang, X., Zhang, Y.C., Xia, X.H. and Huang, C.H. (2004). Effective Bending Modulus of Carbon Nanotubes with Rippling Deformation, International Journal of Solids and Structures, 41: 6429-39.
31. Wang, X., Wang, X.Y. and Xiao, J.A. (2005). Nonlinear Analysis of the Bending Modulus of Carbon Nanotubes with Rippling Deformations, Composite Structures, 69: 315-321.
32. Wang, X. and Yang, H.K. (2005). Axially Critical Load of Multiwall Carbon Nanotubes under Thermal Environment, Journal of Thermal Stresses, 28: 185-196.
33. Odegard, G.M., Gates, T.S., Nicholson, L.M. and Wise, K.E. (2002). Equivalent-Continuum Modeling with Application to Carbon Nanotubes. NASA/TM-211454-1-10.
34. Chang, T. and Gao, H. (2003). Size-Dependent Elastic Properties of a Single-Walled Carbon Nanotube via a Molecular Mechanics Model, Journal of the Mechanics and Physics of Solids, 51: 1059-1074.
35. Shenoy, V.B., Miller, R., Tadmor, E.B., Rodney, D., Phillips, R. and Ortiz, M. (1999). An Adaptive Finite Element Approach to Atomic-Scale Mechanics-The Quasicontinuum Method, Journal of the Mechanics and Physics of Solids, 47: 611-642.
36. Rudd, R.E. and Broughton, J.Q. (2000). Concurrent Coupling of Length Scales in Solid State Systems. Physica Status Solidi B, 217 (1). 251-291.
37. Chung, P.W. and Namburu, R.R. (2003). On a Formulation for a Multi-Scale Atomistic-Continuum Homogenization Method, International Journal of Solids and Structures, 40: 2563-2588.
38. Xiao, S.P. and Belytschko, T. (2004). A Bridging Domain Method for Coupling Continuum with Molecular Dynamics, Computer Methods in Applied Mechanics and Engineering, 193: 1645-1669.
39. Liu, B., Huang, Y., Jiang, H., Qu, S. and Wang, B. (2004). The Atomic-Scale Finite Element Method, Comput. Methods Appl. Mech. Engrg., 193: 1849-1864
40. Cornell, W.D., Cieplak, P., Bayly, C.I., Gould, I.R., Merz, K.M., Ferguson, D.M., 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.
41. 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.
42. Mayo, L.L., Olafson, B.D. and Goddard III, W.A. (1993). Polyoxymethylene. The Hessian Biased Force Field for Molecular Dynamics Simulations, Journal of Physical Chemistry, 97 (42). 10891-10902.
43. Nicholas, J.B., Hopfinger, A.J., Trouw, F.R. and Iton, L.E. (1991). Molecular Modeling of Zeolite Structure. 2. Structure and Dynamics of Silica Sodalite and Silicate Force Field, Journal of American Chemical Society, 113: 4792-4797.
44. Kwon, Y.-K., Berber, S. and Tomanek, D. (2004). Thermal Contraction of Carbon Fullerenes and Nanotubes, Physical Review Letters, 92: 01590, 1-4.