Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 42, Issue 5, 2010, Pages 1293-1301

  Pradhan, S C ^a   Murmu, T ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Buckling; Elastic medium; Graphene sheets; Nonlocal elasticity

Indexed keywords

BUCKLING ANALYSIS; BUCKLING BEHAVIORS; BUCKLING LOADS; DIFFERENTIAL QUADRATURE METHODS; ELASTIC MEDIUM; FOUNDATION MODELS; GOVERNING DIFFERENTIAL EQUATIONS; GRAPHENE SHEETS; NON-LOCAL EFFECT; NONLOCAL; NONLOCAL ELASTICITY; NUMERICAL RESULTS; NUMERICAL SOLUTION; PASTERNAK; PLATE THEORIES; PRINCIPLE OF VIRTUAL WORK; SINGLE-LAYERED GRAPHENE SHEETS; SMALL SCALE; SMALL-SIZE EFFECTS; WINKLER;

BUCKLING; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ELASTICITY; GRAPHITE; NUMERICAL ANALYSIS; STIFFNESS;

GRAPHENE;

EID: 77349097101     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2009.10.053     Document Type: Article

References (58)

1. Lu P., Lee H.P., Lu C., and Zhang P.Q. J. Appl. Phys. 99 (2006) 073510
2. Aydogdu M. Physica E 41 (2009) 861
3. Wang C.M., and Duan W.H. J. Appl. Phys. 104 (2008) 014303
4. Liu J., Ma Z., Wright A.R., and Zhang C. J. Appl. Phys. 103 (2008) 103711
5. Duan W.H., and Wang C.M. Nanotechnology 18 (2007) 385704
6. Sakhaee-Pour A., Ahmadian M.T., and Naghdabadi R. Nanotechnology 19 (2008) 085702
7. Wang Q., and Wang C.M. Nanotechnology 18 (2007) 075702
8. Heigl A., Wachutka G., and Compt J. Electronics 6 (2007) 97
9. Iijima S. Nature 354 (1991) 56
10. Li C.Y., and Chou T.W. Appl. Phys. Lett. 84 (2004) 5246
11. Sakhaee-Pour A., et al. Solid State Commun. 145 (2008) 168
12. Dai H., Hanfer J.H., Rinzler A.G., et al. Nature 384 (1996) 147
13. Sutter P.W., Flege J.I., and Sutter E.A. Nature Mater. 7 (2008) 406
14. de Parga A.L.V., Calleja F., Borca B., Passeggi M.C.G., Hinarejos J.J., Guinea F., and Miranda R. Phys. Rev. Lett. 100 (2008) 056807
15. Forbeaux I., Themlin J.M., and Debever J.M. Phys. Rev. B 58 (1998) 16396
16. Ohta T., Bostwick A., Seyller T., Horn K., and Rotenberg E. Science 313 (2006) 951
17. Dresselhaus M.S., and Dresselhaus G. Adv. Phys. 51 (2002) 1
18. Lu X.K., Yu M.F., Huang H., and Ruoff R.S. Nanotechnology 10 (1999) 269
19. Stankovich S., et al. Nature 442 (2006) 282
20. Han Q., and Lu G. Eur. J. Mech.-A/Solids 22 (2003) 875
21. Ru C.Q. J. Mech. Phys. Solids 49 1 (2001) 265
22. Wagner H.D., Lourie O., Feldman Y., and Tenne. R. Appl. Phys. Lett. 72 (1998) 188
23. Liew K.M., He X.Q., and Kitipornchai S. Acta Mater. 54 (2006) 4229
24. Lim C.W., and Wang C.M. J. Appl. Phys. 101 (2007) 054312
25. Reddy J.N., and Pang S.D. J. Appl. Phys. 103 (2008) 023511
26. Kumar D., Heinrich C., and Waas A.M. J. Appl. Phys. 103 (2008) 073521
27. Wang Q., and Liew K.M. Phys. Lett. A 363 (2007) 236
28. Fang Li X., Wang B.L., and Mail Y.W. J. Appl. Phys. 103 (2008) 074309
29. Novoselov K.S., et al. Nature 438 (2005) 197
30. Zhang Y., et al. Nature 438 (2005) 201
31. Behfar K., and Naghdabadi R. Compos. Sci. Technol. 65 (2005) 1159
32. Behfar K., Seifi P., Naghdabadi R., et al. J. Thin Solid Films 496 (2006) 475
33. Kitipornchai S., He X.Q., and Liew K.M. Phys. Rev. B 72 (2005) 075443
34. Zhou S.J., and Li Z.Q. J. Shandong Univ. Tech. 31 (2001) 401
35. Fleck N.A., and Hutchinson J.W. Adv. Appl. Mech. 33 (1997) 296
36. Yang F., Chong A.C.M., Lam D.C.C., and Tong P. Int. J. Solids Struct. 39 (2002) 2731
37. Eringen A.C. Int. J. Engrg. Sci. 10 (1972) 1
38. Eringen A.C. J. Appl. Phys. 54 (1983) 4703
39. Peddieson J., Buchanan G.G., and McNitt R.P. Int. J. Engrg. Sci. 41 (2003) 305
40. Sudak L.J. J. Appl. Phys. 94 (2003) 7281
41. Heireche H., Tounsi A., Benzair A., Maachou M., and Adda Bedia E.A. Physica E 40 (2008) 2791
42. Reddy J.N. Int. J. Engrg. Sci. 45 (2007) 288
43. Murmu T., and Pradhan S.C. J. Aero. Sci. Tech. 60 (2008) 206
44. Pradhan S.C., and Murmu T. J. Inst. Engg. (Mech.) 89 (2009) 3
45. Murmu T., and Pradhan S.C. Physica E 41 (2009) 1232
46. Murmu T., and Pradhan S.C. J. Appl. Phys. 105 (2009) 064319
47. Pradhan S.C., and Phadikar J.K. Phys. Lett. A 37 (2009) 1062
48. Winkler E. Theory of Elasticity and Strength (1867), Dominicus, Prague
49. P.L. Pasternak, On a new method of analysis of an elastic foundation by means of two foundation constants. Gos. Izd. Lip. po Strait i Arkh [in Russian], 1954.
50. Chen Y., Lee J.D., and Eskandarian A. Int. J. Solids Struct. 41 (2004) 2085
51. Bellman R., Kashef B.G., and Casti J. J. Comp. Phys. 10 (1972) 40
52. Jang S.K., Bert C.W., and Striz A.G. Int. J. Num. Meth. Eng. 28 5 (1989) 61
53. Sherbourne A.N., and Pandey M.D. Comp. & Struct. 40 (1991) 903
54. Hashemi M.R., Abedini M.J., and Malekzadeh P. Appl. Math. Mod. 31 (2007) 1594-1608
55. Pradhan S.C., and Murmu T. J. Sound Vib. 321 (2009) 342
56. Timoshenko S., and Krieger S.W. Theory of Plates and Shells. second ed. (1970), Mc Graw-Hill
57. Wang C.M., Zhang Y.Y., Ramesh S.S., and Kitipornchai S. J. Phys. D: Appl. Phys. 39 (2006) 3904
58. Sakhaee-Pour A. Comp. Matl. Sci. 45 (2009) 266