Dispersion spectrum in a functionally graded carbon nanotube-reinforced plate based on first-order shear deformation plate theory

Composites Part B: Engineering

Volumn 53, Issue , 2013, Pages 274-283

  Zhu, J ^a   Yang, J ^b   Kitipornchai, S ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b RMIT UNIVERSITY   (Australia)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

A. Plates; B. Elasticity; B. Vibration; C. Analytical modelling; Functionally graded nanocomposites

Indexed keywords

B. VIBRATION; FIRST-ORDER SHEAR DEFORMATION PLATE THEORIES; FUNCTIONALLY GRADED; GOVERNING EQUATIONS OF MOTION; REVERBERATION-RAY MATRIX; SINGLE-WALLED CARBON NANOTUBE (SWCNTS); STATE SPACE FORMULATION; UNCONDITIONALLY STABLE;

ASPECT RATIO; DISPERSION (WAVES); ELASTICITY; EQUATIONS OF MOTION; NANOCOMPOSITES; REINFORCEMENT; SINGLE-WALLED CARBON NANOTUBES (SWCN); STATE SPACE METHODS;

VIBRATIONS (MECHANICAL);

EID: 84879648026     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2013.04.016     Document Type: Article

References (55)

1. S. Iijima Helical microtubules of graphitic carbon Nature 354 1991 56 58 (Pubitemid 21896780)
2. E.T. Thostenson, Z. Ren, and T.W. Chou Advances in the science and technology of carbon nanotube and their composites: a review Compos Sci Technol 61 2001 1899 1912
3. M. Cadek, J.N. Coleman, V. Barron, K. Hedicke, and W.J. Blau Morphological and mechanical properties of carbon-nanotube-reinforced semicrystalline and amorphous polymer composites Appl Phys Lett 81 2002 5123 5125
4. A.B. Dalton, S. Collins, E. Muñoz, J.M. Razal, V.H. Ebron, and J.P. Ferraris Super-tough carbon-nanotube fibres Nature 423 2003 703 (Pubitemid 36735685)
5. B.E. Kilbride, J.N. Coleman, J. Fraysse, P. Fournet, M. Cadek, and A. Drury Experimental observation of scaling laws for alternating current and direct current conductivity in polymer-carbon nanotube composite thin films J Appl Phys 92 2002 4024 4030
6. J.K.W. Sandler, J.E. Kirk, I.A. Kinloch, M.S.P. Shaffer, and A.H. Windle Ultra-low electrical percolation threshold in carbon-nanotube-epoxy composites Polymer 44 2003 5893 5899 (Pubitemid 37046096)
7. J.K.W. Sandler, S. Pegel, M. Cadek, F. Gojny, M. Es van, and J. Lohmar A comparative study of melt spun polyamide-12 fibres reinforced with carbon nanotubes and nanofibres Polymer 45 2004 2001 2015 (Pubitemid 38224331)
8. M.J. Biercuk, M.C. Llaguno, M. Radosavljevic, J.K. Hyun, and A.T. Johnson Carbon nanotube composites for thermal management Appl Phys Lett 80 2002 2767 2769
9. C. Wei, D. Srivastava, and K. Cho Thermal expansion and diffusion coefficients of carbon nanotube-polymer composites Nano Lett 2 2002 647 650 (Pubitemid 135706405)
10. M. Cadek, J.N. Coleman, V. Barron, K. Hedicke, and W.J. Blau Morphological and mechanical properties of carbon-nanotube-reinforced semicrystalline and amorphous polymer composites Appl Phys Lett 81 2002 5123 5125
11. G.M. Odegard, T.S. Gates, K.E. Wise, C. Park, and E.J. Siochi Constitutive modelling of nanotube-reinforced polymer composites Compos Sci Technol 63 2003 1671 1687 (Pubitemid 36914805)
12. E.T. Thostenson, and T.W. Chou On the elastic properties of carbon nanotube-based composites: modelling and characterization J Phys D Appl Phys 36 2003 573 582
13. F.H. Gojny, M.H.G. Wichmann, U. Köpke, B. Fiedler, and K. Schulte Carbon nanotube-reinforced epoxy-composites: enhanced stiffness and fracture toughness at low nanotube content Compos Sci Technol 64 2004 2363 2371 (Pubitemid 40032190)
14. M. Griebel, and J. Hamaekers Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites Comput Method Appl Mech Eng 193 2004 1773 1788 (Pubitemid 38462120)
15. N. Hu, H. Fukunaga, C. Lu, M. Kameyama, and B. Yan Prediction of elastic properties of carbon nanotube reinforced composites Proc R Soc A 461 2005 1685 1710 (Pubitemid 40991897)
16. G.D. Seidel, and D.C. Lagoudas Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites Mech Mater 38 2006 884 907 (Pubitemid 44268991)
17. Y. Han, and J. Elliott Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites Comput Mater Sci 39 2007 315 323 (Pubitemid 46367907)
18. R. Zhu, E. Pan, and A.K. Roy Molecular dynamics study of the stress-strain behavior of carbon-nanotube reinforced Epon 862 composites Mater Sci Eng A 447 2007 51 57 (Pubitemid 46109961)
19. T. Vodenitcharova, and L.C. Zhang Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube Int J Solids Struct 43 2006 3006 3024
20. M.C. Ray, and R.C. Batra A single-walled carbon nanotube reinforced 1-3 piezoelectric composite for active control of smart structures Smart Mater Struct 6 2007 936 1947
21. A. Salehi-Khojin, and N. Jalili Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermomechanical loadings Compos Sci Technol 8 2008 1489 1501 (Pubitemid 351372796)
22. H.S. Shen Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments Compos Struct 1 2009 9 19
23. H.S. Shen, and C.L. Zhang Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates Mater Des 31 2010 3403 3411
24. L.L. Ke, J. Yang, and S. Kitipornchai Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams Compos Struct 92 2010 676 683
25. L.L. Ke, J. Yang, and S. Kitipornchai Dynamic stability of functionally graded carbon nanotube-reinforced composite beams Mech Adv Mater Struct 20 2013 28 37
26. Z.X. Wang, and H.S. Shen Nonlinear vibration of nanotube-reinforced composite plates in thermal environments Comput Mater Sci 50 2011 2319 2330
27. Z.X. Wang, and H.S. Shen Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets Compos Part B - Eng 43 2012 411 421
28. H.S. Shen, and Y. Xiang Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments Comput Methods Appl Mech Eng 213 2012 196 205
29. X. Han, and G.R. Liu Effects of SH waves in a functionally graded plate Mech Res Commun 29 2002 327 338 (Pubitemid 35289709)
30. X. Han, G.R. Liu, and K.Y. Lam Transient waves in plates of functionally graded materials Int J Numer Meth Eng 52 2002 851 865
31. W.Q. Chen, H.M. Wang, and R.H. Bao On calculating dispersion curves of waves in a functionally graded elastic plate Compos Struct 81 2007 233 242 (Pubitemid 46939628)
32. D. Sun, and S.N. Luo Wave propagation and transient response of a FGM plate under a point impact load based on higher-order shear deformation theory Compos Struct 93 2011 1474 1484
33. D. Sun, and S.N. Luo The wave propagation and dynamic response of rectangular functionally graded material plates with completed clamped supports under impulse load Eur J Mech A/Solids 30 2011 396 408
34. M.S.P. Shaffer, and A.H. Windle Fabrication and characterization of carbon nanotube/poly (vinyl alcohol) composites Adv Mater 11 1999 937 941
35. D. Qian, E.C. Dickey, R. Andrews, and T. Rantell Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites Appl Phys Lett 76 2000 2868 2870
36. S.M. Howard, and Y.H. Pao Analysis and experiments on stress waves in planar trusses J Eng Mech 124 1998 884 891
37. Y.H. Pao, D.C. Keh, and S.M. Howard Dynamic response and wave propagation in plane trusses and frames AIAA J 37 1999 594 603
38. Y.Q. Guo, W.Q. Chen, and Y.L. Zhang Guided wave propagation in multilayered structures Sci China Ser G 52 2009 1094 1104
39. J. Zhu, G.R. Ye, Y.Q. Xiang, and W.Q. Chen Recursive formulae for wave propagation analysis of FGM elastic plates via reverberation-ray matrix method Compos Struct 93 2011 259 270
40. R.D. Mindlin Influence of rotary inertia and shear on flexural motions of isotropic elastic plates Trans J Appl Mech 18 1951 31 38
41. J.N. Reddy A simple higher-order theory for laminated composite plates J Appl Mech 51 1984 745 752 (Pubitemid 15422865)
42. J.M. Whitney, and N.J. Pagano Shear deformation in heterogeneous anisotropic plates J Appl Mech 37 1970 1031 1036
43. J.T. Stewart, and Y.K. Yong Exact analysis of the propagation of acoustic waves in multilayered anisotropic piezoelectric plates IEEE Trans Ultrason Ferr 41 1994 375 390
44. L. Wang, and S.I. Rokhlin Recursive asymptotic stiffness matrix method for analysis of surface acoustic wave devices on layered piezoelectric media Appl Phys Lett 81 2002 4049 4051
45. W.Q. Chen, Z.G. Bian, C.F. Lv, and H.J. Ding 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid Int J Solids Struct 41 2004 947 964 (Pubitemid 38086545)
46. J. Chen, E. Pan, and H. Chen Wave propagation in magneto-electro-elastic multilayered plates Int J Solids Struct 44 2007 1073 1085 (Pubitemid 44749972)
47. E.C. Pestel, and F.A. Leckie Matrix methods in elasto mechanics 1963 McGraw-Hill New York
48. A. Abo-Zena Dispersion function computations for unlimited frequency values Geophys J Roy Astr S 58 1979 91 105
49. V.I. Alshits, and G.A. Maugin Dynamics of multilayers: elastic waves in an anisotropic graded or stratified plate Wave Motion 41 2005 357 394 (Pubitemid 40301148)
50. F.R. Gantmacher The theory of matrices vol. II 1960 Chelsea Publishing Company New York
51. X.Q. He, T.Y. Ng, S. Sivashanker, and K.M. Liew Active control of FGM plates with integrated piezoelectric sensors and actuators Int J of Solids Struct 38 2001 1641 1655 (Pubitemid 32071300)
52. J. Yang, and H.S. Shen Vibration characteristic and transient response of shear-deformable functionally graded plates in thermal environments J Sound Vib 255 2002 579 602 (Pubitemid 35432565)
53. X.L. Huang, and H.S. Shen Nonlinear vibration and dynamic response of functionally gradedplates in thermal environments Int J Solids Struct 41 2004 2403 2427
54. A.N. Norris Flexural waves on narrow plates J Acoust Soc Am 113 2003 2647 2658 (Pubitemid 36547341)
55. Y.S. Song, and J.R. Youn Modeling of effective elastic properties for polymer based carbon nanotube composites Polymer 47 2006 1741 1748 (Pubitemid 43238216)