 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| V.V. Alekhin, B.D. Annin, A.V. Babichev, and S.N. Korobeinikov, "Natural Vibrations and Buckling of Graphene Sheets," Mech. Solids. 48 (5), 509-513 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
5 |
Pages |
509-513 |
| DOI |
10.3103/S0025654413050051 |
| Title |
Natural Vibrations and Buckling of Graphene Sheets |
| Author(s) |
V.V. Alekhin (Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, alekhin@hydro.nsc.ru)
B.D. Annin (Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, annin@hydro.nsc.ru)
A.V. Babichev (Sobolev Institute of Geology and Mineralogy, Siberian Branch of Russian Academy of Sciences, pr-t akad. Koptyuga 3, Novosibirsk, 630090 Russia, babichev@igm.nsc.ru)
S.N. Korobeinikov (Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, s.n.korobeynikov@mail.ru) |
| Abstract |
Since the discovery of graphene in stable state (2004), these nanostructures have been actively used in nanotechnology. The determination of natural frequencies, mode shapes, critical compressing loads, and buckling modes of these sheets is of great theoretical and practical importance for estimating their working characteristics. To this end, in the present paper we apply the method of molecular mechanics, which was used in the authors' earlier studies to solve the problems of natural vibrations, stability, and contact for carbon nanotubes. |
| Keywords |
nanostructure, graphene, molecular mechanics, vibration, buckling |
| References |
| 1. | S. N. Korobeinikov,
"Nonlinear Equations of Deformation of Atomic Lattices,"
Arch. Mech.
57, 435-453 (2005). |
| 2. | B. D. Annin, S. N. Korobeinikov, and A. V. Babichev,
"Computer Sumulation of Nanotube Buckling in Torsion,"
Sib. Zh. Industrial. Mat.
11 (1), 3-22 (2008). |
| 3. | B. D. Annin, V. V. Alekhin, A. V. Babichev, and S. N. Korobeinikov,
"Computer Simulation of Nanotube Contact,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 56-76 (2010)
[Mech. Solids (Engl. Transl.)
45 (3), 352-369 (2010)]. |
| 4. | B. D. Annin, V. V. Alekhin, A. V. Babichev, and
S. N. Korobeinikov, "Molecular Mechanics Method Applied to
Problems of Stability and Natural Vibrations of Single-Layer Carbon
Nanotubes," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 65-83
(2012) [Mech. Solids (Engl. Transl.) 47 (5), 544-559
(2012)]. |
| 5. | S. N. Korobeinikov, V. V. Alyokhin, B. D. Annin, and
A. V. Babichev, "Using Stability Analysis of Discrete Elastic
Systems to Study the Buckling of Nanostructures," Arch. Mech.
64 (4), 367-404 (2012). |
| 6. | S. N. Korobeinikov,
Nonlinear Deformation of Solids
(Sib. Otdel. RAN, Novosibirsk, 2000)
[in Russian]. |
| 7. | S. L. Mayo, B. D. Olafson, and W. A. Goddard III,
"A Generic Force Field for Molecular Simulation,"
J. Phys. Chem.
94, 8897-8909 (1990). |
| 8. | J. Wackerfuss, "Molecular Mechanics in the Context of the Finite
Element Method," Int. J. Numer. Meth. Engng 77 (7),
969-997 (2009). |
| 9. | S. N. Korobeinikov, V. P. Agapov, M. I. Bondarenko, and
A. N. Soldatkin, "The General Purpose Nonlinear Finite Element
Structural Program PIONER," in Proc. Int. Conf. on
Numerical Methods and Applications (Publ. House of the Bulgarian
Acad. Of Sci., Sofia, 1989), pp. 228-233. |
| 10. | S. S. Gupta and R. C. Batra, "Elastic Properties and Frequencies
of Free Vibrations of Single-Layer Graphene Sheets," J. Comput.
Theor. Nanosci. 7, 1-14 (2010). |
| 11. | M. A. Lavrentiev and A. Yu. Ishlinsky, "Dynamic Buckling Modes of
Elastic Systems," Dokl. Akad. Nauk SSSR 64 (6), 776-782
(1949). |
|
| Received |
20 May 2013 |
| Link to Fulltext |
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