Nonlocal elasticity theory for vibration of nanoplates

Journal of Sound and Vibration

Volumn 325, Issue 1-2, 2009, Pages 206-223

  Pradhan, S C ^a   Phadikar, J K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; CLASSICAL PLATE THEORY; CONSTITUTIVE RELATIONS; DOUBLE LAYERED; FIRST-ORDER SHEAR DEFORMATION THEORY; GOVERNING EQUATIONS; GRAPHENE SHEETS; NANOPLATES; NANOSHELLS; NONDIMENSIONAL; NONLOCAL; NONLOCAL ELASTICITY; NONLOCAL THEORY; NUMERICAL SOLUTION; SIMPLY SUPPORTED; THEORETICAL DEVELOPMENT; VIBRATION FREQUENCY; WINKLER FOUNDATIONS;

PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

EQUATIONS OF MOTION;

EID: 67349168181     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.03.007     Document Type: Article

References (25)

1. Ball P. Roll up for the revolution. Nature (London) 414 (2001) 142-144
2. Baughman R.H., Zakhidov A.A., and de Heer W.A. Carbon nanotubes-the route toward applications. Science 297 (2002) 787-792
3. Bodily B.H., and Sun C.T. Structural and equivalent continuum properties of single-walled carbon nanotubes. International Journal of Materials and Product Technology 18 4-6 (2003) 381-397
4. Li C., and Chou T.W. A structural mechanics approach for the analysis of carbon nanotubes. International Journal of Solids and Structures 40 (2003) 2487-2499
5. C. Li, T.W. Chou, Single-walled nanotubes as ultrahigh frequency nanomechanical oscillators, Physical Review B 68 (2003) art no: 073405.
6. S.C. Pradhan,, J.K. Phadikar, Nonlinear analysis of carbon nano tubes, Proceedings of Fifth International Conference on Smart Materials, Structures and Systems, Indian Institute of Science, Bangalore, 24-26 July 2008, paper ID 19.
7. Wang C.M., Tan V.B.C., and Zhang Y.Y. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. Journal of Sound and Vibration 294 (2006) 1060-1072
8. Wang Q., and Vardan V.K. Wave characteristics of carbon nanotubes. International Journal of Solids and Structures 43 (2005) 254-265
9. Fu Y.M., Hong J.W., and Wang X.Q. Analysis of nonlinear vibration for embedded carbon nanotubes. Journal of Sound and Vibration 296 (2006) 746-756
10. Wang Q., Zhou G.Y., and Lin K.C. Scale effect on wave propagation of double walled carbon nanotubes. International Journal of Solids and Structures 43 (2006) 6071-6084
11. Wang Q., and Varadan V.K. Vibration of carbon nanotubes studied using nonlocal continuum mechanics. Smart Materials and Structures 15 (2006) 659-666
12. Lu P., Lee H.P., Lu C., and Zhang P.Q. Application of nonlocal beam models for carbon nanotubes. International Journal of Solids and Structures 44 (2007) 5289-5300
13. Gibson R.F., Ayorinde O.E., and Wen Y.-F. Vibration of carbon nanotubes and there composites: a review. Composites Science and Technology 67 (2007) 1-28
14. Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics 54 (1983) 4703-4710
15. Eringen A.C. Nonlocal Continuum Field Theories (2002), Springer, NewYork
16. Reddy J.N. Nonlocal theories for bending, buckling and vibration of beams. International Journal of Engineering Science 45 (2007) 288-307
17. Luo X., and Chung D.D.L. Vibration damping using flexible graphite. Carbon 38 (2000) 1510-1512
18. L. Zhang, H. Huang, Young's moduli of ZnO nanoplates: Ab initio determinations, Applied Physics Letters 89 (2006) id. 183111 (3 pages).
19. He X.Q., Kitipornchai S., and Liew K.M. Resonance analysis of multi-layered graphene sheets used as nanoscale resonators. Nanotechnology 16 (2005) 2086-2091
20. Kitipornchai S., He X.Q., and Liew K.M. Continuum model for the vibration of multilayered graphene sheets. Physical Review B 72 (2005) 075443
21. Behfar K., and Naghdabadi R. Nanoscale vibrational analysis of a muti-layered grapheme sheet embedded in an elastic medium. Composites Science and Technology 7-8 (2005) 1159-1164
22. Reddy J.N. Mechanics of Laminated Composite Plates, Theory and Analysis (1997), Chemical Rubber Company, Boca Raton, FL
23. Yoon J., Ru C.Q., and Mioduchowski A. Vibration of embedded multiwall carbon nanotubes. Composites Science and Technology 63 (2003) 1533-1542
24. Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Physical Review B 62 (2000) 16962-16967
25. Li C., and Chou T.W. Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces. Composites Science and Technology 11 (2003) 1517-1524