Structural Changes of Circularly Defected Monolayer Circular Graphene Nanosheets Upon Mechanical Vibrations
Keywords:Molecular dynamics, circular single-layer graphene sheet, free vibration, frequency domain decomposition, mode shape
As the strongest and toughest material known, graphene has found numerous applications in various types of sensors. Due to the great influences of the graphene sheet’s geometry on resonance frequency, circular defects could effect on expected results of sensors. Circular holes in circular graphene sheets (CGSs) have been modeled with molecular dynamics (MD) simulation in the present work. Then the vibration behavior of intact circular plate and circular sheet with the circular defect has been investigated using frequency-domain analysis (FDD). Furthermore, for validating the used method, the obtained natural frequencies for different graphene sheets have been compared with acquired data in former research. The result of validation showed the accuracy of the used method in this study. The results indicated that by increasing the hole size, the natural frequency of a defected sheet with free edges will be diminished, and with simply-supported interior boundary conditions typically went up. Also, by increasing the hole’s eccentricity, the natural frequency of the defected graphene sheet will be diminished when the hole boundary was subjected to simply-support or free condition.
M. J. Allen, V. C. Tung, and R. B. Kaner, “Honeycomb carbon: a review of graphene,” Chem. Rev., vol. 110, no. 1, pp. 132–145, 2010.
D. R. Dreyer, R. S. Ruoff, and C. W. Bielawski, Angew. Chemie Int. Ed., vol. 49, no. 49, pp. 9336–9344, 2010.
M. J. Allen and V. C. Tung, and R. B. Kaner, Honeycomb carbon: a review of graphene, Chemical Reviews, 110, 1, 132–145, 2010. ACS Publicatio.
A. K. Geim and K. S. Novoselov, “The rise of graphene,” in Nanoscience and Technology: A Collection of Reviews from Nature Journals, World Scientific, 2010, pp. 11–19.
S. Sadeghzadeh and M. M. Khatibi, “Modal identification of single layer graphene nano sheets from ambient responses using frequency domain decomposition,” Eur. J. Mech., vol. 65, pp. 70–78, 2017.
C. I. L. Justino, A. R. Gomes, A. C. Freitas, A. C. Duarte, and T. A. P. Rocha-Santos, “Graphene based sensors and biosensors,” TrAC Trends Anal. Chem., vol. 91, pp. 53–66, 2017.
H. Tian et al., “Scalable fabrication of high-performance and flexible graphene strain sensors,” Nanoscale, vol. 6, no. 2, pp. 699–705, 2014.
C. Soldano, A. Mahmood, and E. Dujardin, “Production, properties and potential of graphene,” Carbon N. Y., vol. 48, no. 8, pp. 2127–2150, 2010.
Y. Dan, Y. Lu, N. J. Kybert, Z. Luo, and A. T. C. Johnson, “Intrinsic response of graphene vapor sensors,” Nano Lett., vol. 9, no. 4, pp. 1472–1475, 2009.
V. Singh, D. Joung, L. Zhai, S. Das, S. I. Khondaker, and S. Seal, “Graphene based materials: Past, present and future,” Prog. Mater. Sci., vol. 56, no. 8, pp. 1178–1271, 2011.
X. Wang and G. Shi, “An introduction to the chemistry of graphene,” Phys. Chem. Chem. Phys., vol. 17, no. 43, pp. 28484–28504, 2015.
T. Murmu and S. C. Pradhan, “Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory,” J. Appl. Phys., vol. 105, no. 6, p. 64319, 2009.
S. C. Pradhan and J. K. Phadikar, “Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models,” Phys. Lett. A, vol. 373, no. 11, pp. 1062–1069, 2009.
S. A. Fazelzadeh and S. Pouresmaeeli, “Thermo-mechanical vibration of double-orthotropic nanoplates surrounded by elastic medium,” J. Therm. Stress., vol. 36, no. 3, pp. 225–238, 2013.
B. Arash and Q. Wang, “Vibration of single-and double-layered graphene sheets,” J. Nanotechnol. Eng. Med., vol. 2, no. 1, p. 11012, 2011.
S. R. Asemi and A. Farajpour, “Decoupling the nonlocal elasticity equations for thermo-mechanical vibration of circular graphene sheets including surface effects,” Phys. E Low-dimensional Syst. Nanostructures, vol. 60, pp. 80–90, 2014.
M. Miri and M. Fadaee, “Effects of eccentric circular perforation on thermal vibration of circular graphene sheets using translational addition theorem,” Int. J. Mech. Sci. , vol. 100, pp. 237–249, 2015.
S. Hosseini-Hashemi, M. Derakhshani, and M. Fadaee, “An accurate mathematical study on the free vibration of stepped thickness circular/annular Mindlin functionally graded plates,” Appl. Math. Model., vol. 37, no. 6, pp. 4147–4164, 2013.
S. R. Asemi, A. Farajpour, M. Borghei, and A. H. Hassani, “Thermal effects on the stability of circular graphene sheets via nonlocal continuum mechanics,” Lat. Am. J. Solids Struct., vol. 11, no. 4, pp. 704–724, 2014.
M. Neek-Amal and F. M. Peeters, “Buckled circular monolayer graphene: a graphene nano-bowl,” J. Phys. Condens. Matter, vol. 23, no. 4, p. 45002, 2010.
Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol., vol. 7, no. 11, p. 699, 2012.
S. K. Jalali, M. J. Beigrezaee, and N. M. Pugno, “Atomistic evaluation of the stress concentration factor of graphene sheets having circular holes,” Phys. E Low-dimensional Syst. Nanostructures, vol. 93, pp. 318–323, 2017.
M. Mirakhory, M. M. Khatibi, and S. Sadeghzadeh, “Vibration analysis of defected and pristine triangular single-layer graphene nanosheets,” Curr. Appl. Phys., vol. 18, no. 11, pp. 1327–1337, 2018.
S. H. Madani, M. H. Sabour, and M. Fadaee, “Molecular dynamics simulation of vibrational behavior of annular graphene sheet: Identification of nonlocal parameter,” J. Mol. Graph. Model., vol. 79, pp. 264–272, 2018.
J. Tersoff, “Erratum: Modeling solid-state chemistry: Interatomic potentials for multicomponent systems,” Phys. Rev. B, vol. 41, no. 5, p. 3248, 1990.
L. Li, M. Xu, W. Song, A. Ovcharenko, G. Zhang, and D. Jia, “The effect of empirical potential functions on modeling of amorphous carbon using molecular dynamics method,” Appl. Surf. Sci., vol. 286, pp. 287–297, 2013.
J. R. Walton, L. A. Rivera-Rivera, R. R. Lucchese, and J. W. Bevan, “Morse, Lennard-Jones, and Kratzer potentials: A canonical perspective with applications,” J. Phys. Chem. A, vol. 120, no. 42, pp. 8347–8359, 2016.
K. Laasonen, A. Pasquarello, R. Car, C. Lee, and D. Vanderbilt, “Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials,” Phys. Rev. B, vol. 47, no. 16, p. 10142, 1993.
T. J. Martinez, M. Ben-Nun, and R. D. Levine, “Multi-electronic-state molecular dynamics: A. J. Phys. Chem., vol. 100, no. 19, pp. 7884–7895, 1996.
G. Rajasekaran, R. Kumar, and A. Parashar, “Tersoff potential with improved accuracy for simulating graphene in molecular dynamics environment,” Mater. Res. Express, vol. 3, no. 3, p. 35011, 2016.
G. P. Zhang and Z. G. Wang, “Fatigue of small-scale metal materials: from micro-to nano-scale,” in Multiscale fatigue crack initiation and propagation of engineering materials: structural integrity and microstructural worthiness, Springer, 2008, pp. 275–326.
F. Shimizu, S. Ogata, and J. Li, “Theory of shear banding in metallic glasses and molecular dynamics calculations,” Mater. Trans., p. 710160231, 2007.
X. Xia, G. J. Weng, J. Xiao, and W. Wen, “Porosity-dependent percolation threshold and frequency-dependent electrical properties for highly aligned graphene-polymer nanocomposite foams,” Mater. Today Commun., vol. 22, p. 100853, 2020.
“index @ lammps.sandia.gov.”.
A. Brandt, Noise and vibration analysis: signal analysis and experimental procedures. John Wiley & Sons, 2011.
L. Zhang and R. Brincker, “An overview of operational modal analysis: major development and issues,” in 1st international operational modal analysis conference, 2005, pp. 179–190.
H. Wenzel, “Ambient vibration monitoring,” Encycl. Struct. Heal. Monit., 2009.
R. Brincker, L. Zhang, and P. Andersen, “Modal identification of output-only systems using frequency domain decomposition,” Smart Mater. Struct., vol. 10, no. 3, p. 441, 2001.
R. Brincker, L. Zhang, and P. Andersen, “Modal identification from ambient responses using frequency domain decomposition,” in Proc. of the 18th International Modal Analysis Conference (IMAC), San Antonio, Texas, 2000.
S. C. Pradhan and J. K. Phadikar, “Nonlocal elasticity theory for vibration of nanoplates,” J. Sound Vib., vol. 325, no. 1–2, pp. 206–223, 2009.
S. K. Jalali, M. H. Naei, and N. M. Pugno, “Graphene-based resonant sensors for detection of ultra-fine nanoparticles: molecular dynamics and nonlocal elasticity investigations,” Nano, vol. 10, no. 02, p. 1550024, 2015.
M. Mohammadi, M. Ghayour, and A. Farajpour, “Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model,” Compos. Part B Eng., vol. 45, no. 1, pp. 32–42, 2013.