Thermal buckling of multi-walled carbon nanotubes by nonlocal elasticity

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 3, 2007, Pages 399-405

  Li, Renfu ^c   Kardomateas, George A ^a,b,c  

^a Department of Aerospace Engineering ^*

^b ASME

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONCENTRIC THIN SHELLS; CONTINUUM MODELS; NONLOCAL ELASTICITY; THERMAL BUCKLING;

BUCKLING; CHEMICAL BONDS; ELASTICITY; THERMAL LOAD; VAN DER WAALS FORCES;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 34547312262     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2200656     Document Type: Article

References (27)

1. Ijima, S., 1991, "Helical micro-tubes of graphite carbon," Nature (London), 354, pp. 56-58.
2. Frankland, S. J. V., Harik, V. M., Odegard, G. M., Brenner, D. W., and Gates, T. S., 2003, "The Stress-Strain Behavior of Polymer-Nanotube Composites from Molecular Dynamics Simulation," Compos. Sci. Technol., 63, pp. 1655-1661.
3. Ma, H., Zeng, J., Lynn, M., Kumar, S., and Schiraldi, D., 2003, "Processing, Structure, and Properties of Fiber from Polyester/Carbon Nanofiber Composites," Compos. Sci. Technol., 63, pp. 1617-1628.
4. Krishnam, A., Dujardin, E., Ebbesen, T., Yianilos, P. N., and Treacy, M. M. J., 1998, "Young's Modulus of Singled-Walled Nanotubes," Phys. Rev. B, 58, pp. 14013.
5. Luo, J., and Daniel, I. M., 2003, "Characterization and Modeling of Mechanical Behavior of Polymer/Clay Nano-Composites," Compos. Sci. Technol., 63, pp. 1607-1616.
6. Schelling, P. K., and Keblinski, P., 2003, "Thermal Expansion of Carbon Structures," Phys. Rev. B, 68, pp. 035425-035432.
7. Pipes, R. B., and Hubert, P. 2003, "Helical Carbon Nanotubes Arrays: Thermal Expansion," Compos. Sci. Technol., 63, pp. 1571-1579.
8. Ru, C. Q., 2000, "Degraded Axial Buckling Strain of Multiwalled Carbon Nanotubes Due to Interlayer Slips," J. Appl. Phys., 89, pp. 3426-3433.
9. Harik, V. M., 2001, "Ranges of Applicability for Continuum Beam Model in the Mechanics of Carbon Nanotubes and Nano-rod," Solid State Commun., 120, pp. 331-335.
10. Govindjee, S., and Sackman, J. L., 1999, "On the Use of Continuum Mechanics to Estimate the Properties of Nanotubes," Solid State Commun., 110, pp. 227-230.
11. Shen, H-S, 2004, "Postbuckling Prediction of Double-Walled Carbon Nanotubes Under Hydrostatic Pressure," Int. J. Solids Struct., 41, pp. 2643-2657.
12. Girifalco, L. A., and Lad, R. A., 1955, "Energy of Cohesion, Compressibility, and the Potential Energy Functions of the Graphite System," J. Chem. Phys., 25, pp. 693-697.
13. Eringen, A. C., 1972, "Nonlocal Polar Elastic Continua," Int. J. Eng. Sci., 10, pp. 1-16.
14. Eringen, A. C., and Edelen, D. G. B., 1972, "On Nonlocal Elasticity," Int. J. Eng. Sci., 10, pp. 233-248.
15. Eringen, A. C., 1983, "On Differential Equations of Nonlocal Elasticity and Solutions of Screw Dislocation and Surface Waves," J. Appl. Phys., 54, pp. 4703-4710.
16. Peddieson, J., Buchanan, R., and McNitt, R. P., 2003, "Application of Nonlocal Continuum Models to Nanotechnology," Int. J. Eng. Sci., 41, pp. 305-312.
17. Sudak, L. J., 2003, "Column Buckling of Multi-Walled Carbon Nanotubes Using Nonlocal Continuum Mechanics," J. Appl. Phys., 94, pp. 7281-7287.
18. Thornton, E. A., 1993, "Thermal Buckling of Plates and Shells," Appl. Mech. Rev., 46(10), pp. 485-506.
19. Brush, D. O., and Almroth, B. O., 1975, "Buckling of Bars, Plates and Shells, McGraw-Hill, New York.
20. Li, R., Frostig, Y., and Kardomateas, G. A., 2001, "Nonlinear High-Order Response of Imperfect Sandwich Beams with Delaminated Faces," AIAA J., 39(9), pp. 1782-1787.
21. Kardomateas, G. A., 1993, "The Initial Post-Buckling and Growth Behavior of Internal Delaminations in Composite Plates," J. Appl. Mech., 60, pp. 903-910.
22. Meyers, C. A., and Hyer, M. W., 1991, "Thermal Buckling and Postbuckling of Symmetrically Laminated Composites Plates," J. Therm. Stresses, 14, pp. 519-540.
23. Eslami, M. R., Ziaili, A. R., and Ghorbanpour, A., 1996, "Thermal Buckling of Thin Cylindrical Shells on Improved Stability Equations," J. Therm. Stresses, 19, pp. 299-315.
24. Saito, R., Matsuo, R., Kimura, T., Dresselhaus, G., and Dresselhaus, M. S., 2001, "Anomalous Potential Barrier of Double-Wall Carbon Nanotubes," Chem. Phys. Lett., 348(9), pp. 187-193.
25. Wang, L., and Hu, H., 2005, "Flexural Wave Propagation in Single-Walled Carbon Nanotubes," Phys. Rev. B, 71, pp. 195412-195419.
26. Yakobson, B. I., Brabec, C. J., and Bernholc, J., 1996, "Nanomechanics of Carbon Tubes: Instabilities Beyond Linear Response," Phys. Rev. Lett., 76, pp. 2511-2514.
27. Yakobson, B. I., Campbell, M. P., Brabec, C. J., and Bernholc, J., 1997, "High Strain Rate Fracture and C-Chain Unraveling in Carbon Nanotubes," Comput. Mater. Sci., 8, pp. 341-348.