Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 35, 2008, Pages 5701-5705

  Adali, S ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Buckling of nanotubes; Carbon nanotubes; Nonlocal theory; Semi inverse method; Small scale effects; Variational principles

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; CARBON NANOTUBES; CONTINUUM MECHANICS; ELASTICITY; INVERSE PROBLEMS; NANOTUBES; VARIATIONAL TECHNIQUES;

COUPLED BOUNDARY CONDITIONS; MULTI-WALLED NANOTUBES; NON-LOCAL ELASTICITY THEORIES; NONLOCAL THEORY; SEMI INVERSE METHODS; SMALL SCALE EFFECTS; VARIATIONAL PRINCIPLES;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 48449106795     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.07.003     Document Type: Article

References (32)

1. Govindjee S., and Sackman J.L. Solid State Commun. 110 (1999) 227
2. Harik V.M. Solid State Commun. 120 (2001) 331
3. Ru C.Q. Phys. Rev. B 62 24 (2000) 16962
4. Wang Q., Hu T., Chen G., and Jiang Q. Phys. Rev. B 71 (2005) 045403
5. Zhang Y.Y., Wang C.M., and Tan V.B.C. J. Eng. Mech. 132 9 (2006) 952
6. Changa T., and Gao H. J. Mech. Phys. Solids 51 (2003) 1059
7. Sun C.T., and Zhang H. J. Appl. Phys. 93 2 (2003) 1212
8. Lima C.W., and Heb L.H. Int. J. Mech. Sci. 46 (2004) 1715
9. Peddieson J., Buchanan G.R., and McNitt R.P. Int. J. Eng. Sci. 41 (2003) 305
10. Wang Q., and Liew K.M. Phys. Lett. A 363 (2007) 236
11. Reddy J.N. Int. J. Eng. Sci. 45 (2007) 288
12. Artan R., and Tepe A. Eur. J. Mech. A Solids 27 (2008) 469
13. Edelen D.G.B., and Laws N. Arch. Ration. Mech. Anal. 43 (1971) 24
14. Eringen A.C. Int. J. Eng. Sci. 10 (1972) 425
15. Wang Q., Varadan V.K., and Quek S.T. Phys. Lett. A 357 (2006) 130
16. Ghorbanpour Arani A., Rahmani R., and Arefmanesh A. Physica E 40 7 (2008) 2390
17. Heireche H., Tounsi A., Benzair A., Maachou M., and Adda Bedia E.A. Physica E 40 8 (2008) 2791
18. Lu P., Lee H.P., Lu C., and Zhang P.Q. Int. J. Solids Struct. 44 (2007) 5289
19. Sudak L.J. J. Appl. Phys. 94 11 (2003) 7281
20. He J.-H. Int. J. Turbo Jet-Engines 14 1 (1997) 23
21. He J.-H. Chaos Solitons Fractals 19 (2004) 847
22. He J.-H. Phys. Lett. A 335 (2005) 182
23. He J.-H. Mech. Res. Commun. 32 (2005) 93
24. He J.-H. Appl. Math. Comput. 157 (2004) 281
25. Zhang J., Yu J.-Y., and Pan N. Chaos Solitons Fractals 24 (2005) 309
26. Liu H.-M. Chaos Solitons Fractals 23 (2005) 573
27. He J.-H. Phys. Lett. A 352 (2006) 276
28. Xu L. Phys. Lett. A 359 (2006) 627
29. Wu Y. Chaos Solitons Fractals 32 (2007) 195
30. Zhou W.X. Phys. Lett. A 363 (2007) 108
31. Liu W.Y., Yu Y.J., and Chen L.D. Chaos Solitons Fractals 33 (2007) 1801
32. Polizzotto C. Int. J. Solids Struct. 38 (2001) 7359