The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Continuum model for the vibration of multilayered graphene sheets
Open accessAbstract
The vibration analysis of multilayered graphene sheets (MLGSs) using a continuum model is reported in this paper. An explicit formula is derived to predict the van der Waals (vdW) interaction between any two sheets of a MLGS. Based on the derived formula, a continuum-plate model is developed for the vibration of MLGSs. Our investigation indicates that the lowest natural frequency (classical natural frequency) of a MLGS for a given combination of $m$ and $n$ is independent of the vdW interaction, but that all of the other higher natural frequencies (resonant frequencies) are significantly dependent on this interaction. The mode shapes that are associated with the natural frequencies are investigated for double-layered and ten-layered graphene sheets. We find that the vibration modes that are associated with the classical natural frequency of all the sheets are in the same direction and have the same amplitude, whereas the vibration modes of the sheets that are associated with the resonant frequencies are different due to the influence of the vdW interaction. Thus various resonance modes can be obtained by varying the number of layers of a MLGS.
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Cites
Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response
Yakobson, B. I., Brabec, C. J., & Bernholc, J. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.2511 · Cited by 2,642
On the determination of molecular fields. —II. From the equation of state of a gas
Jones, J. E. (1924) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1924.0082 · Cited by 2,384
Jones, J. E. (1924) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1924.0081 · Cited by 853
Equivalent-continuum modeling of nano-structured materials
Odegard, G. (2002) · Composites Science and Technology · doi:10.1016/s0266-3538(02)00113-6 · Cited by 643
Energy of Cohesion, Compressibility, and the Potential Energy Functions of the Graphite System
Girifalco, L. A., & Lad, R. A. (1956) · The Journal of Chemical Physics · doi:10.1063/1.1743030 · Cited by 617
Strelko, V. V., Kuts, V. S., & Thrower, P. A. (2000) · Carbon · doi:10.1016/s0008-6223(00)00121-4 · Cited by 476
Structural Properties of a Carbon-Nanotube Crystal
Tersoff, J., & Ruoff, R. S. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.676 · Cited by 472
Anomalous potential barrier of double-wall carbon nanotube
Saito, R., Matsuo, R., Kimura, T., Dresselhaus, G., & Dresselhaus, M. S. (2001) · Chemical Physics Letters · doi:10.1016/s0009-2614(01)01127-7 · Cited by 422
He, X., Kitipornchai, S., & Liew, K. M. (2004) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2004.08.003 · Cited by 386
Self-citationDubay, O., & Kresse, G. (2003) · Physical Review B · doi:10.1103/physrevb.67.035401 · Cited by 358
Vibration of an embedded multiwall carbon nanotube
Yoon, J. (2003) · Composites Science and Technology · doi:10.1016/s0266-3538(03)00058-7 · Cited by 349
Nanomechanics of single and multiwalled carbon nanotubes
Liew, K. M., Chee How, W. O. N. G., He, X., Tan, M. J., & Meguid, S. A. (2004) · Physical Review B · doi:10.1103/physrevb.69.115429 · Cited by 328
Self-citationThe atomic-scale finite element method
Liu, B., Huang, Y., Jiang, H., Qu, S., & Hwang, K. C. (2004) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2003.12.037 · Cited by 281
Noncoaxial resonance of an isolated multiwall carbon nanotube
Yoon, J., Ru, C. Q., & Mioduchowski, A. (2002) · Physical Review B · doi:10.1103/physrevb.66.233402 · Cited by 170
Degraded axial buckling strain of multiwalled carbon nanotubes due to interlayer slips
Ru, C. Q. (2001) · Journal of Applied Physics · doi:10.1063/1.1347956 · Cited by 135
Single graphene sheet detected in a carbon nanofilm
Horiuchi, S., Gotou, T., Fujiwara, M., Asaka, T., Yokosawa, T., & Matsui, Y. (2004) · Applied Physics Letters · doi:10.1063/1.1689746 · Cited by 109
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Scarpa, F., Adhikari, S., & Srikantha Phani, A. (2009) · Nanotechnology · doi:10.1088/0957-4484/20/6/065709 · Cited by 521
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Nika, D. L., & Balandin, A. A. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/80/3/036502 · Cited by 359
Metadata
- Authors
- Kitipornchai, S., He, X. Q., & Liew, K. M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2005-08-29
- Volume
- 72
- Issue
- 7
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2082904512
- Cited by
- 288
- References
- 16
- FWCI
- 1.81
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
