Nonlinear vibrational analysis of single-layer graphene sheets

Nanotechnology

Volumn 21, Issue 10, 2010, Pages

  Sadeghi, M ^a   Naghdabadi, R ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMISTIC METHODS; ELECTROMECHANICAL RESONATORS; EXPERIMENTAL OBSERVATION; FUNDAMENTAL FREQUENCIES; GRAPHENE SHEETS; HYBRID ELEMENT; INTERATOMIC POTENTIAL; LINEAR VIBRATIONS; NONLINEAR BEHAVIOURS; NONLINEAR DYNAMIC RESPONSE; SINGLE LAYER; STRUCTURAL ELEMENTS; THEORETICAL MODELS; VIBRATION AMPLITUDE; VIBRATIONAL ANALYSIS;

DYNAMIC RESPONSE; ELECTROMECHANICAL DEVICES; GRAPHENE; GRAPHITE; NATURAL FREQUENCIES; NONLINEAR ANALYSIS;

VIBRATION ANALYSIS;

EID: 77149165060     PISSN: 09574484     EISSN: 13616528     Source Type: Journal    
DOI: 10.1088/0957-4484/21/10/105705     Document Type: Article

References (24)

1. 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
2. Novoselov K S, Jiang D, Schedin F, Booth T J, Khotkevich T T, Morozov S V and Geim A K 2005 Two-dimensional atomic crystals Proc. Natl Acad. Sci. USA 102 10451-3
3. Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Obergfell D, Roth S, Girit C and Zettl A 2007 On the roughness of single- and bi-layer graphene membranes Solid State Commun. 143 101-9
4. 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
5. Behfar K and Naghdabadi R 2005 Nanoscale vibration analysis of a multi-layered graphene sheet embedded in an elastic medium Compos. Sci. Technol. 65 1159-64
6. Reddy C D, Rajendran S and Liew K M 2006 Equilibrium configuration and continuum elastic properties of finite sized graphene Nanotechnology 17 864-70
7. Caillerie D, Mourad A and Raoult A 2006 Discrete homogenization in graphene sheet modeling J. Elast. 84 33-68
8. Liew K M, He X Q and Kitipornchai S 2006 Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix Acta Mater. 54 4229-36
9. Zhou J and Dong J 2007 Vibrational property and Raman spectrum of carbon nanoribbon Appl. Phys. Lett. 91 173108
10. Sakhaee-Pour A, Ahmadian M T and Naghdabadi R 2008 Vibration analysis of single-layer graphene sheets Nanotechnology 19 085702
11. Inui N, Mochiji K and Moritani K 2008 Actuation of a suspended nano-graphene sheet by impact with an argon cluster Nanotechnology 19 505501
12. Atalaya J, Isacsson A and Kinaret J M 2008 Continuum elastic modeling of graphene resonators Nano Lett. 8 4196-200
13. Hod O and Scuseria G E 2009 Electromechanical properties of suspended graphene nanoribbons Nano Lett. 9 2619-22
14. Gillen R, Mohr M, Thomsen C and Maultzsch J 2009 Vibrational properties of graphene nanoribbons by first-principles calculations Phys. Rev. B 80 155418
15. Malola S, Häkkinen H and Koskinen P 2009 Comparison of Raman spectra and vibrational density of states between graphene nanoribbons with different edges Eur. Phys. J. D 52 71-4
16. Belytschko T, Xiao S P, Schatz G C and Ruoff R S 2002 Atomistic simulations of nanotube fracture Phys. Rev. B 65 235430
17. Tserpes K I and Papanikos P 2005 Finite element modeling of single-walled carbon nanotubes Composites B 36 468-77
18. Xiao J R, Gama B A and Gillespie J W Jr 2005 An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes Int. J. Solids Struct. 42 3075-92
19. Liu G R and Quek S S 2003 The Finite Element Method: A Practical Course (Oxford: Butterworth-Heinemann)
20. Bathe K J 2005 Finite Element Procedures (New Delhi: Prentice-Hall of India)
21. Belytschko T, Liu W K and Moran B 2000 Nonlinear Finite Elements for Continua and Structures (Chichester: Wiley)
22. Allen M P and Tildesley D J 1991 Computer Simulation of Liquids (Oxford: Clarendon)
23. Weaver W Jr, Timoshenko S P and Young D H 1990 Vibration Problems in Engineering (New York: Wiley)
24. Yakobson B I, Brabec C J and Bernholc J 1996 Nanomechanics of carbon tubes: instabilities beyond linear response Phys. Rev. Lett. 76 2511-4