Stability and post-critical behavior of graphene sheet under homogeneous plane strain

J.A. Baimova, A.V. Savin show affiliations and emails
Received 23 September 2011; Accepted 17 October 2011;
This paper is written in Russian
Citation: J.A. Baimova, A.V. Savin. Stability and post-critical behavior of graphene sheet under homogeneous plane strain. Lett. Mater., 2011, 1(3) 171-175
BibTex   https://doi.org/10.22226/2410-3535-2011-3-171-175

Abstract

During last few years there has been growing interest of re-searchers to the effect of elastic strain on mechanical and physical properties of graphene. In this work, by means of molecular dynamics simulations, neglecting the effects of thermal fluctuations and boundary conditions, the stability region of flat graphene was found in the three-dimensional space of plane strain components. Density of phonon states of graphene under elastic strain was calculated and the post-critical behavior was analyzed. Results obtained with the use of two different interatomic potentials were compared, and only quantitative but not qualitative differences were re-vealed.

References (36)

1. A.H. Castro Neto. F. Guinea, N.M.R. Peres, K.S.Novoselov, A.K. Geim. Rev. Mod. Phys. 81, 109 (2009).
2. C. Lee, X. Wei, J.W. Kysar, J. Hone. Science. 321, 385(2008).
3. A.K. Geim, K.S. Novoselov. Nature Materials. 6, 183(2007).
4. M.B. Belonenko, N.G. Lebedev, N.N. Yanyushkina andM.M. Shakirzyanov. Physics of the Solid State. 52(9), 1952 (2010).
5. D.V. Zav’yalov, V.I. Konchenkov and S.V. Kryuchkov.Physics of the Solid State. 53(10), 2157 (2009).
6. J.I. Inoue. Phys. Rev. B 83, 205404 (2011).
7. V.M. Apalkov, T. Chakraborty. Phys. Rev. B 84, 033408(2011).
8. S. Stankovich, D.A. Dikin, G.H.B. Dommett, K.M.Kohlhaas, et al. Nature 442, 282 (2006).
9. M.A. Rafiee, J. Rafiee, Z.-Z. Yu, N. Koratkar. Appl. Phys.Lett. 95, 223103 (2009).
10. X. Li, K. Maute, M.L. Dunn, R. Yang. Phys. Rev. B 81, 245318 (2010).
11. F.M.D. Pellegrino, G.G.N. Angilella, R. Pucci. Phys. Rev.B 81, 035411 (2010).
12. M. Huang, H. Yan, C. Chen, et al. PNAS 106, 7304 (2009).
13. M. Ribeiro, V.M. Pereira, N.M.R. Peres, P.R. Briddon, A.H. Castro Neto. New Journal of Physics. 11, 115002(2009).
14. A.M. Krivtsov Teoreticheskaya mechanika... / SPb.:Politechnicheckii un-t. (2009) 127 p.] (in Russian) [А.М.Кривцов. Теоретическая механика. Упругие свойстваодноатомных и двухатомных кристаллов: учеб. посо-бие / СПб.: Изд-во Политех. ун-та. (2009) 127 с.].
15. T. Zhu, J. Li. Progr. Mater. Sci. 55, 710 (2010).
16. S.V. Dmitriev, J.A. Baimova. Technical Physics Letters, 37(5), 451 (2011).
17. S.V. Dmitriev. Letters on Materials, 1, 78 (2011) (inRussian) [Дмитриев С.В. Письма о материалах. 1, 78(2011)].
18. F. Liu, P. Ming, J. Li. Phys. Rev. B 76, 064120 (2007).
19. X. Wei, B. Fragneaud, C.A. Marianetti, J.W. Kysar. Phys.Rev. B 80, 205407 (2009).
20. S.V. Dmitriev, J.A. Baimova, A.V. Savin, Yu.S. Kivshar.JETP letters. 93(10), 571 (2011).
21. S.V. Dmitriev, J.A. Baimova, A.V. Savin, Yu.S. Kivshar.Comput. Mater. Sci. (2011) (in press).
22. D.W. Brenner. Phys. Rev. B 42, 9458 (1990).
23. A.V. Savin, Yu.S. Kivshar, B. Hu. Phys. Rev. B 82, 195422(2010).
24. S. Maruyama, Y. Igarashi, Y. Taniguchi, J. Shiomi. J.Thermal. Sci. Technol. 1, 138 (2006).
25. A.V. Savin, O.I. Savina. Physics of the Solid State. 46(2), 383 (2004).
26. M. Neek-Amal, F.M. Peeters. Phys. Rev. B 82, 085432(2010).
27. A.V. Savin, Yu.S. Kivshar. EPL 82, 66002 (2008).
28. A.V. Savin, Yu.S. Kivshar. Phys. Rev. B 81, 165418 (2010).
29. A.V. Savin. Letters on Materials. 1, 3 (2011) (in Russian)[Савин А.В. Письма о материалах. 1, 3 (2011)].
30. A.M. Krivtsov, N.F. Morozov. Physics of the Solid State.44(12), 2260 (2002).
31. M. Arroyo, T. Belytschko, Phys. Rev. B 69, 115415 (2004).
32. Q. Lu, R. Huang, Int. J. of Appl. Mech. 1(3), 443 (2009).
33. I.E. Berinskiy, A. M. Krivtsov, Mechanics of Solids. 6, 60(2009) [И.Е. Беринский, А.М. Кривцов Известия РАН.Механика твердого тела. 6, 60 (2010)].
34. Y. Gao, P. Hao. Physica E 41, 1561 (2009).
35. J.C. Meyer et al. Nature. 446, 60 (2007).
36. L.Z. Khadeeva, S.V. Dmitriev. Phys. Rev. B 81, 214306(2010).

Cited by (1)

1.
E. A. Korznikova, J. A. Baimova, S. V. Dmitriev. Russ Phys J. 58(6), 808 (2015). Crossref

Similar papers