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Research Papers

Interior and Edge Elastic Waves in Graphene

[+] Author and Article Information
Y. W. Zhang

e-mail: zhangyw@ihpc.a-star.edu.sg
Institute of High Performance Computing,
Singapore 138632

H. J. Gao

School of Engineering,
Brown University,
Providence, RI 02912

1Corresponding author.

Manuscript received October 4, 2012; final manuscript received November 12, 2012; accepted manuscript posted May 31, 2013; published online May 31, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(4), 040901 (May 31, 2013) (5 pages) Paper No: JAM-12-1464; doi: 10.1115/1.4024166 History: Received October 04, 2012; Revised November 12, 2012; Accepted April 08, 2013

Elastic waves propagating in graphene nanoribbons were studied using both continuum modeling and molecular dynamics simulations. The Mindlin's plate model was employed to model the propagation of interior waves of graphene, and a continuum beam model was proposed to model the propagation of edge waves in graphene. The molecular dynamics results demonstrated that the interior longitudinal and transverse wave speeds of graphene are about 18,450 m/s and 5640 m/s, respectively, in good agreement with the Mindlin's plate model. The molecular dynamics simulations also revealed the existence of elastic edge waves, which may be described by the proposed continuum beam model.

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Figures

Grahic Jump Location
Fig. 1

(a) Transverse elastic waves traveling along graphene nanoribbons with zigzag edges and different widths at t = 12.18 ps. The right arrows indicate the front of a train of interior transverse waves while the left arrows indicate the front of a train of edge transverse waves. (b) The interior transverse wave speed VT-I versus the graphene nanoribbon width W. (c) The edge transverse wave speed VT-E versus the graphene nanoribbon width W. The left ends of the graphene nanoribbons are subjected to forced vibrations with frequency of 2.27 THz and amplitude of 0.05 nm. The vibration amplitude has been amplified 20 times in the plots.

Grahic Jump Location
Fig. 2

(a) Transverse wave traveling along graphene nanoribbons with armchair edges and different widths at t = 12.18 ps. The right arrows indicate the front of a train of interior transverse waves while the left arrows indicate the front of a train of edge transverse waves. (b) The interior transverse wave speed VT-I versus the graphene nanoribbon width W. (c) The edge transverse wave speed VT-E versus the graphene nanoribbon width W. The left ends of the graphene nanoribbons are subjected to forced vibrations with frequency of 2.27 THz and amplitude of 0.05 nm. The vibration amplitude has been amplified 20 times in the plots.

Grahic Jump Location
Fig. 3

Transverse waves traveling at different vibration frequencies at t = 12.18 ps. (a) The zigzag edged graphene nanoribbon with a width of 22.86 nm. (b) The armchair edged graphene nanoribbon with a width of 22.13 nm. In these simulations, the left ends of the graphene nanoribbons are subjected to forced vibrations with amplitude of 0.05 nm. The vibration amplitude has been amplified 20 times in these plots.

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