Buckling analysis of a single-layer graphene sheet embedded in an elastic medium based on nonlocal Mindlin plate theory

Mechanics Research Communications

Volumn 38, Issue 7, 2011, Pages 481-485

  Samaei, A T ^a   Abbasion, S ^b   Mirsayar, M M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b SWISS FEDERAL LABORATORIES FOR MATERIALS SCIENCE AND TECHNOLOGY   (Switzerland)

Author keywords

Buckling; Graphene sheet; Nonlocal elasticity

Indexed keywords

ASPECT RATIO; BUCKLING; GRAPHENE;

BUCKLING ANALYSIS; BUCKLING BEHAVIORS; BUCKLING LOADS; CLASSICAL PLATE THEORY; ELASTIC MEDIUM; EXPLICIT SOLUTIONS; GRAPHENE SHEETS; NON-LOCAL ELASTICITIES;

MINDLIN PLATES;

EID: 79961109148     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2011.06.003     Document Type: Article

References (33)

1. Akhavan, H., Hashemi, Sh.H., Damavandi, H.R., Alibeigloo, A., Vahabi, Sh., 2009. Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part I: Buckling analysis. Computational Materials Science 44, 968-978.
2. Al-Rub, R.K.A., 2007. Interfacial effects on size-dependent strength of nanostructured materials and systems. In: 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, art. no. 2010-2899.
3. Behfar, K., Naghdabadi, R., 2005. Nano scale vibration analysis of a multi-layered graphene sheet embedded in an elastic medium. Composites Science and Technology 65, 1159.
4. Behfar, K., Seifi, P., Naghdabadi, R., Ghanbari, J., 2006. An analytical approach to determination of bending modulus of a multi-layered graphene sheet. Thin Solid Films 496, 475.
5. Chen, Y., Lee, J.D., Eskandarian, A., 2004. Atomistic viewpoint of the applicability of microcontinuum theories. International Journal of Solids and Structures 41, 2085-2097. (Pubitemid 38319481)
6. Chen, Y.R., Yu, J.Y., Di, Y.H., 2010. Study on the tear behaviour of coated fabric using the finite element method. International Journal of Nonlinear Sciences and Numerical Simulation 11 (7), 517-521.
7. Dai, H., Hafner, J.H., Rinzler, A.G., Colbert, D.T., Smalley, R.E., 1996. Nanotubes as nanoprobes in scanning probe microscopy. Nature 384, 147.
8. Drexler, K.E., 1992. Nanosystems: molecular machinery, manufacturing, and Computation. John Wiley & Sons Inc, 1-576.
9. Eringen, A.C., 1972. Linear theory of nonlocal elasticity and dispersion of plane waves. International Journal of Engineering Sciences 10 (5), 425-435.
10. Eringen, A.C., Edelen, D.G.B., 1972. On nonlocal elasticity. International Journal of Engineering Sciences 10, 233-248.
11. Govindjee, S., Sackman, J.L., 1999. On the use of continuum mechanics to estimate the properties of nanotubes. Solid State Communication 110, 227-230.
12. Hashemi, Sh.H., Samaei, A.T., 2011. Buckling analysis of micro/nanoscale plates via nonlocal elasticity theory. Physica E 43 (7), 1400-1404.
13. Hashemi, Sh.H., Khorshidi, K., Amabili, M., 2008. Exact solution for linear buckling of rectangular Mindlin plates. Journal of Sound and Vibration 315, 318-342.
14. He, X.Q., Kitipornchai, S., Liew, K.M., 2005. Resonance analysis of multi-layered graphene sheets used as nanoscale resonators. Nanotechnology 16, 2086-2091. (Pubitemid 41376138)
15. Iijima, S., 1991. Helical microtubules of graphitic carbon. Nature 354, 56-58. (Pubitemid 21896780)
16. Kitipornchai, S., He, X.Q., Liew, K.M., 2005. Continuum model for the vibration of multilayered graphene sheets. Physical Review B 72, 075443.
17. Liew, K.M., He, X.Q., Kitipornchai, S., 2006. Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix. Acta Materialia 54, 4229.
18. Lim, C.W., Yang, Y., 2010. Wave propagation in carbon nanotubes: nonlocal elasticity-induced stiffness and velocity enhancement effects. Journal of Mechanics of Materials and Structures 5 (3), 459-476.
19. Lu, P., Zhang, P.Q., Lee, H.P., Wang, C.M., Reddy, J.N., 2008. Non-local elastic plate theories. Proceedings of the Royal Society A 463, 3225-3240.
20. Martel, R., Schmidt, T., Shea, H.R., Hertel, T., Avouris, P., 1998. Single-and multiwall carbon nanotube field-effect transistors. Applied Physics Letters 73 (17), 2447-2449. (Pubitemid 128672420)
21. Murmu, T., Pradhan, S.C., 2009a. Vibration analysis of nano-single-layered grapheme sheets embedded in elastic medium based on nonlocal elasticity theory. Journal of Applied Physics 105, 064319.
22. Murmu, T., Pradhan, S.C., 2009b. Buckling of biaxially compressed orthotropic plates at smalls cales. Mechanics Research Communications 36, 933-938.
23. Peddieson, J., Buchanan, G.R., McNitt, R.P., 2003. Application of nonlocal continuum models to nanotechnology. International Journal of Engineering Sciences 41, 305-312.
24. Poncharal, P., Wang, Z.L., Ugarte, D., de Heer, W.A., 1999. Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 283, 1513-1516.
25. Pradhan, S.C., Murmu, T., 2009. Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics. Computational Materials Science 47, 268-274.
26. Sakhaee Pour, A., 2009. Elastic buckling of single-layered graphene sheet. Computational Materials Science 45, 266.
27. Sakhaee-Pour, A., Ahmadian, M.T., Naghdabadi, R., 2008. Vibrational analysis of single-layered graphene sheets. Nanotechnology 19 (8), 085702.
28. Sudak, L.J., 2003. Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. Journal of Applied Physics 94.
29. Wagner, H.D., Lourie, O., Feldman, Y., Tenne, R., 1998. Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix. Applied Physics Letters 72, 188.
30. Wang, Q., 2005. Wave propagation in carbon nanotubes via nonlocal continuum mechanics. Journal of Applied Physics 98, 124301.
31. Wong, S.S., Joselevich, E., Woolley, A.T., Cheung, C.L., Lieber, C.M., 1998. Covalently functionalized nanotubes as nanometresized probes in chemistry and biology. Nature (London) 394, 52.
32. Wu, G.C., Zhao, L., He, J.H., 2009. Differential-difference model for textile engineering. Chaos Solutions & Fractals 42, 352-354.
33. Yakobson, B.I., Campbell, M.P., Brabec, C.J., Bernholc, J., Comput, 1997. High strain rate fracture and C-chain unraveling in carbon nanotubes. Computational Materials Science 8, 241.