On the Modeling of Eigenmodes and Eigenfrequencies of Carbon Graphene Sheets under the Influence of Vacancy Defects

Abstract:

The vibrational behavior of defected graphene sheets was investigated via finite element analysis. The simulations were carried out for perfect and imperfect nanosheets. This study was conducted to examine the influence of vacant sites on these nanostructures. In the current study, a graphene sheet is considered as a space frame. The natural frequency and corresponding mode shapes of the perfect and defective nanosheets were obtained and compared. Results are presented as diagrams stating the natural frequency of graphene sheets with respect to the amount of vacancy defects. The results indicate that the natural frequency of nanosheets reduced by introducing atomic defects to the configuration of these nanomaterials. Such impurities lower the vibrational stability of graphene sheets.

• Periodical: Journal of Nano Research (Volume 38)
• Pages: 101-106
• DOI: https://doi.org/10.4028/www.scientific.net/JNanoR.38.101
• Online since: January 2016
• Authors: Seyedeh Alieh Kazemi*, Sadegh Imani Yengejeh, Andreas Öchsner
• Keywords: Finite Element Method, Mechanical Property, Nanosheet, Natural Frequency, Vacancy

References

[1] H. Dai, E.W. Wong, C.M. Lieber, Probing electrical transport in nanomaterials: conductivity of individual carbon nanotubes, Science 272 (1996) 523-526.

DOI: 10.1126/science.272.5261.523

[2] C. Niu, E.K. Sichel, R. Hoch, High power electrochemical capacitors based on carbon nanotube electrodes, Appl. Phys. Lett. 70 (1997) 1480-1482.

DOI: 10.1063/1.118568

[3] Y. Siato, K. Hamaguchi, K. Hata, Conical beams from open nanotubes, 389 (1997) 554-555.

[4] D.S. Bethune, C.H. Kiang, M.S. Devries, G. Gorman, R. Savoy, J. Vazquez, R. Beyers, Cobalt-catalysed growth of carbon nanotubes with single-atomic-layer walls, Nature 363 (1993) 605–607.

DOI: 10.1038/363605a0

[5] G. Cao, Nano Structures and Nanomaterials, Synthesis, Properties and Applications, Imperial College Press, London, (2004).

[6] L. Forro, J.P. Salvetat, J.M. Bonard, R. Basca, N.H. Thomson, S. Garaj, L. Thien-Nga, R. Gaa l, A. Kulik, B. Ruzicka, L. Degiorgi, A. Bachtold, C. Schonenberger, S. Pekker, K. Hernadi, Science and Application of Nanotubes (1999) 297.

DOI: 10.1007/0-306-47098-5_22

[7] W.A. Goddard, D.W. Brenner, S.E. Lyshevski, G.J. Iafrate (Eds. ), Handbook of Nanoscience, Engineering, and Technology, CRC Press, (2002).

[8] M. Rahmandoust and A. Öchsner. Influence of structural imperfections and doping on the mechanical properties of single-walled carbon nanotubes. Journal of Nano Research 6 (2009) 185-196.

DOI: 10.4028/www.scientific.net/jnanor.6.185

[9] Z. Ebrahim Zadeh, et al. The effect of vacancy defects and temperature on fundamental frequency of single walled carbon nanotubes. Computational Materials Science 63 (2012) 12-19.

DOI: 10.1016/j.commatsci.2012.05.045

[10] A. Ghavamian and A. Öchsner. Numerical investigation on the influence of defects on the buckling behavior of single-and multi-walled carbon nanotubes. Physica E: Low-dimensional Systems and Nanostructures 46 (2012) 241-249.

DOI: 10.1016/j.physe.2012.08.002

[11] S. Imani Yengejeh, et al., Numerical modeling of eigenmodes and eigenfrequencies of hetero-junction carbon nanotubes with pentagon–heptagon pair defects, Computational Materials Science 92 (2014) 76-83.

DOI: 10.1016/j.commatsci.2014.05.015

[12] S. Imani Yengejeh, et al. Numerical simulation of the vibration behavior of curved carbon nanotubes. Advances in Materials Science and Engineering 2014. http: /dx. doi. org/10. 1155/2014/815340.

DOI: 10.1155/2014/815340

[13] S. Imani Yengejeh and A. Öchsner. Influence of structural imperfections-twisting and distortion-on the vibrational behavior of carbon nanotubes. Journal of Nanoengineering and Nanosystems (2015) 1-9.

DOI: 10.1177/1740349915579713

[14] C. Li, T.W. Chou, A Structural Mechanics Approach for the Analysis of Carbon Nanotubes, International Journal of Solids and Structures 40 (2003) 2487–2499.

DOI: 10.1016/s0020-7683(03)00056-8

[15] C.W.S. To, Bending and shear moduli of single-walled carbon nanotubes, Finite Elem. Anal. Des. 42 (2006) 404–413.

DOI: 10.1016/j.finel.2005.08.004

[16] M.S. Dresselhaus, G. Dresselhaus, R. Saito, Physics of carbon nanotubes, Carbon 33 (1995) 883–891.

DOI: 10.1016/0008-6223(95)00017-8

[17] Z. Kang, M. Li, Q. Tang, Buckling behavior of carbon nanotube-based intramolecular junctions under compression: Molecular dynamics simulation and finite element analysis, Computational Materials Science 50 (2010) 253–259.

DOI: 10.1016/j.commatsci.2010.08.011