Nonlinear bending and stretching of a circular graphene sheet under a central point load

Nanotechnology

Volumn 20, Issue 7, 2009, Pages

  Duan, W H ^a   Wang, C M ^b  

^a MONASH UNIVERSITY   (Australia)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE PREDICTIONS; BENDING RIGIDITIES; CENTRAL POINTS; GRAPHENE; GRAPHENE SHEETS; NONLINEAR BENDING; PLATE THEORIES; SINGLE LAYERS;

MOLECULAR MECHANICS; STRESS CONCENTRATION;

PAPER SHEETING;

GRAPHENE;

ARTICLE; CONCENTRATION (PARAMETERS); ELASTICITY; MOLECULAR MECHANICS; MOLECULAR MODEL; NONLINEAR SYSTEM; PREDICTION; PRIORITY JOURNAL; RIGIDITY; SIMULATION;

EID: 65349114388     PISSN: 09574484     EISSN: 13616528     Source Type: Journal    
DOI: 10.1088/0957-4484/20/7/075702     Document Type: Article

References (32)

1. de Parga A L V, Calleja F, Borca B, Passeggi M C G, Hinarejos J J, Guinea F and Miranda R 2008 Periodically rippled graphene: growth and spatially resolved electronic structure Phys. Rev. Lett. 1 4
2. Barzola-Quiquia J, Esquinazi P, Rothermel M, Spemann D, Butz T and Garcia N 2007 Experimental evidence for two-dimensional magnetic order in proton bombarded graphite Phys. Rev. B 76 4
3. Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Electric field effect in atomically thin carbon films Science 306 666-9 (Pubitemid 39440910)
4. Novoselov K S, Jiang Z, Zhang Y, Morozov S V, Stormer H L, Zeitler U, Maan J C, Boebinger G S, Kim P and Geim A K 2007 Room-temperature quantum hall effect in graphene Science 315 1379 (Pubitemid 46399539)
5. Peter W S, Jan-Ingo F and Eli A S 2008 Epitaxial graphene on ruthenium Nat. Mater. 7 406-11
6. Dutta S, Lakshmi S and Pati S K 2008 Electron-electron interactions on the edge states of graphene: a many-body configuration interaction study Phys. Rev. B 77 4
7. Lai Y H, Ho J H, Chang C P and Lin M F 2008 Magnetoelectronic properties of bilayer Bernal graphene Phys. Rev. B 77 10
8. Lherbier A, Biel B, Niquet Y M and Roche S 2008 Transport length scales in disordered graphene-based materials: strong localization regimes and dimensionality effects Phys. Rev. Lett. 1 4
9. Chiu Y H, Lai Y H, Ho J H, Chuu D S and Lin M F 2008 Electronic structure of a two-dimensional graphene monolayer in a spatially modulated magnetic field: Peierls tight-binding model Phys. Rev. B 77 6
10. Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Booth T J and Roth S 2007 The structure of suspended graphene sheets Nature 446 60-3 (Pubitemid 46348040)
11. Geim A K and Novoselov K S 2007 The rise of graphene Nat. Mater. 6 183-91 (Pubitemid 46353764)
12. Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I and Novoselov K S 2007 Detection of individual gas molecules adsorbed on graphene Nat. Mater. 6 652-5 (Pubitemid 47359547)
13. Bunch J S, van der Zande A M, Verbridge S S, Frank I W, Tanenbaum D M, Parpia J M, Craighead H G and McEuen P L 2007 Electromechanical resonators from graphene sheets Science 315 490-3 (Pubitemid 46178391)
14. Fasolino A, Los J H and Katsnelson M I 2007 Intrinsic ripples in graphene Nat. Mater. 6 858-61 (Pubitemid 350050580)
15. Carlsson J M 2007 Graphene: buckle or break Nat. Mater. 6 801-2 (Pubitemid 350050572)
16. Frank I W, Tanenbaum D M, Van der Zande A M and McEuen P L 2007 Mechanical properties of suspended graphene sheets J. Vac. Sci. Technol. B 25 2558-61 (Pubitemid 350255935)
17. Poot M and van der Zant H S J 2008 Nanomechanical properties of few-layer graphene membranes Appl. Phys. Lett. 92 063111
18. He X Q, Kitipornchai S and Liew K M 2005 Resonance analysis of multi-layered graphene sheets used as nanoscale resonators Nanotechnology 16 2086-91
19. Kitipornchai S, He X Q and Liew K M 2005 Continuum model for the vibration of multilayered graphene sheets Phys. Rev. B 72 075443
20. Xu X and Liao K 2001 Mater. Phys. Mech. 4 148
21. Landau L D and Lifshits E M 1970 Theory of Elasticity (New York: Pergamon Press)
22. Landman U, Luedtke W D, Burnham N A and Colton R J 1990 Atomistic mechanisms and dynamics of adhesion, nanoindentation, and fracture Science 248 454-61 (Pubitemid 120031461)
23. Rigby D, Sun H and Eichinger B E 1997 Computer simulations of poly(ethylene oxide): force field, PVT diagram and cyclization behaviour Polym. Int. 44 311-30 (Pubitemid 127618123)
24. Duan W H, Wang Q, Liew K M and He X Q 2007 Molecular mechanics modeling of carbon nanotube fracture Carbon 45 1769-76 (Pubitemid 47069248)
25. Wang Q, Duan W H, Liew K M and He X Q 2007 Inelastic buckling of carbon nanotubes Appl. Phys. Lett. 90 033110 (Pubitemid 46146388)
26. Cao G X and Chen X 2006 Mechanisms of nanoindentation on single-walled carbon nanotubes: the effect of nanotube length J. Mater. Res. 21 1048-70 (Pubitemid 43805192)
27. Libai A and Simmonds J G 1988 The Nonlinear Theory of Elastic Shells: One Spatial Dimension (Boston: Academic)
28. Komaragiri U and Begley M R 2005 The mechanical response of freestanding circular elastic films under point and pressure loads Trans. ASME, J. Appl. Mech. 72 203-12
29. Sheplak M and Dugundji J 1998 Large deflections of clamped circular plates under initial tension and transitions to membrane behavior Trans. ASME, J. Appl. Mech. 65 107-15 (Pubitemid 128728556)
30. Yakobson B I, Brabec C J and Bernholc J 1996 Nanomechanics of carbon tubes: instabilities beyond linear response Phys. Rev. Lett. 76 2511-4
31. Shampine L F, Gladwell I and Thompson S 2003 Solving ODEs with MATLAB (Cambridge: Cambridge University Press)
32. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Washington, DC: US Govt. Printing Office)