Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels

Composites Part B: Engineering

Volumn 43, Issue 4, 2012, Pages 1943-1954

  Aragh, B Sobhani ^a   Barati, A H Nasrollah ^b   Hedayati, H ^b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Nano structures; Numerical analysis; Polymer matrix composites (PMCs); Vibration

Indexed keywords

ARBITRARY BOUNDARY CONDITIONS; CARBON NANOTUBES (CNTS); CONSTITUTIVE LAW; CYLINDRICAL PANELS; EQUIVALENT CONTINUUM; FREQUENCY PARAMETERS; GENERALIZED DIFFERENTIAL QUADRATURE METHODS; GOVERNING EQUATIONS; ISOTROPIC MEDIUM; NEW RESULTS; NUMERICAL TOOLS; OPPOSITE EDGES; POLYMERMATRIX COMPOSITES (PMCS); RADIUS RATIO; RADIUS-TO-THICKNESS RATIO; SIMPLY SUPPORTED; THICKNESS DIRECTION; TRIGONOMETRIC FUNCTIONS EXPANSION; VIBRATION; VIBRATIONAL BEHAVIOR;

BOUNDARY CONDITIONS; CONTINUUM MECHANICS; DIFFERENTIATION (CALCULUS); NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); POLYMER MATRIX COMPOSITES; VOLUME FRACTION;

NANOCOMPOSITES;

EID: 84859461368     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2012.01.004     Document Type: Article

References (60)

1. R.B. Seymour Polymeric composites 1990 VSP The Netherlands
2. P. Morgan Carbon fibers and their composites 2005 CRC Press, Taylor and Francis Group
3. J.A.H. Huit, and K.G. Rammerstorfer Engineering mechanics of fibre reinforced polymers and composite structures 1994 Springer-Verlag
4. E. Fitzer, and L.M. Manocha Carbon reinforcements and carbon/carbon composites 1998 Springer-Verlag
5. V. Mittal Polymer nanotube nanocomposites: synthesis, properties, and applications 2010 John Wiley and Sons Ltd
6. S. Iijima Helical microtubes of graphitic carbon Nature 354 1991 56 58
7. D. Salvetat, and A. Rubio Mechanical properties of carbon nanotubes: a fiber digest for beginners Carbon 40 2002 1729 1734 (Pubitemid 34805975)
8. M. Endo, T. Hayashi, Y.A. Kim, M. Terrones, and M.S. Dresselhaus Applications of carbon nanotubes in the twenty-first century Philos Trans Roy Soc Lond A 362 2004 2223 2238 (Pubitemid 39436510)
9. J.M. Wernik, and S.A. Meguid Multiscale modeling of the nonlinear response of nano-reinforced polymers Acta Mech 217 2011 1 16
10. E.T. Thostenson, Z.F. Ren, and T-W. Chou Advances in the science and technology of carbon nanotubes and their composites: a review Compos Sci Technol 61 13 2001 1899 1912
11. M. Moniruzzaman, and K.I. Winey Polymer nanocomposites containing carbon nanotubes Macromolecules 39 2006 5194 5205 (Pubitemid 44325095)
12. B. Valter, M.K. Ram, and C. Nicolini Synthesis of multiwalled carbon nanotubes and poly (o-anisidine) nanocomposite material: fabrication and characterization of its Langmuir-Schaefer films Langmuir 18 5 2002 1535 1541 (Pubitemid 35390176)
13. 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
14. T. Yokozeki, Y. Iwahori, and S. Ishiwata Matrix cracking behaviors in carbon fiber/epoxy laminates filled with cup-stacked carbon nanotubes (CSCNTs) Composites Part A 38 2007 917 924 (Pubitemid 44909022)
15. N. Hu, H. Fukunaga, C. Lu, M. Kameyama, and B. Yan Prediction of elastic properties of carbon nanotube reinforced composites Proc Roy Soc A 461 2005 1685 1910
16. J.D. Fidelus, E. Wiesel, F.H. Gojny, K. Schulte, and H.D. Wagner Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites Composites Part A 36 2005 1555 1561 (Pubitemid 41384000)
17. P. Bonnet, D. Sireude, B. Garnier, and O. Chauvet Thermal properties and percolation in carbon nanotube-polymer composites J Appl Phys 91 2007 2019 2030
18. 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)
19. 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)
20. Y. Jin, and F.G. Yuong Simulation of elastic properties of single-walled carbon nanotubes Compos Sci Technol 63 2003 1507 1515 (Pubitemid 36906665)
21. T. Chang, and H. Gao Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model J Mech Phys Solids 51 2003 1059 1074
22. M. Griebel, and J. Hamaekers Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites Mech Energy 193 2004 1773 1788 (Pubitemid 38462120)
23. J. Wuite, and S. Adali Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis Compos Struct 71 2005 388 396 (Pubitemid 41715428)
24. B. Sobhani Aragh, H. Hedayati, E. Borzabadi Farahani, and M. Hedayati A novel 2-D six-parameter power-law distribution for free vibration and vibrational displacements of two-dimensional functionally graded fiber-reinforced curved panels Eur J Mech A/Solids 30 2011 865 883
25. M.H. Yas, and Aragh B. Sobhani Three-dimensional analysis for thermo elastic response of functionally graded fiber reinforced cylindrical panel Compos Struct 92 2010 2391 2399
26. R.C. Batra, and J. Jin Natural frequencies of a functionally graded anisotropic rectangular plate J Sound Vib 282 2005 509 516 (Pubitemid 40583903)
27. Aragh B. Sobhani, and M.H. Yas Three-dimensional analysis of thermal stresses in four-parameter continuous grading fiber reinforced of cylindrical panels Int J Mech Sci 52 2010 1047 1063
28. S.S. Vel Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells Compos Struct 92 2010 2712 2727
29. Aragh B. Sobhani, and M.H. Yas Static and free vibration analyses of continuously graded fiber-reinforced cylindrical shells using generalized power-law distribution Acta Mech 215 2010 155 173
30. J.N. Reddy, and Z.Q. Cheng Three-dimensional thermomechanical deformations of functionally graded rectangular plates Eur J Mech A: Solids 20 5 2001 841 855 (Pubitemid 32962178)
31. H. Matsunaga Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory Compos Struct 82 4 2008 499 512 (Pubitemid 47543561)
32. M. Jabbari, A. Bahtui, and M.R. Eslami Axisymmetric mechanical and thermal stresses in thick long FGM cylinders J Therm Stress 29 7 2006 643 663 (Pubitemid 43977243)
33. H-S. Shen Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments Compos Struct 91 2009 9 19
34. H-S. Shen, and Z.H. Zhu Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments Comput Mater Continua 18 2010 155 182
35. 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
36. 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
37. Wang Z-X, Shen H-S. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Compos Part B: Eng, in press, doi: 10.1016/j.compositesb.2011.04.040.
38. Shen H-S. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Compos Part B: Eng, in press, doi: 10.1016/j.compositesb.2011.10.004.
39. C. Shu Differential quadrature and its application in engineering 2000 Springer Berlin
40. C. Shu, and B.E. Richards Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stockes equations Int J Numer Meth Fluid 15 1992 791 798 (Pubitemid 23557497)
41. C.W. Bert, and M. Malik Differential quadrature method in computational mechanics, a review Appl Mech Rev 49 1996 1 28
42. P. Malekzadeh Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT Compos Struct 83 2008 89 200
43. D.L. Shi, X.Q. Feng, Y.Y. Huang, K.C. Hwang, and H. Gao The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites J Eng Mater Technol 126 2004 250 257 (Pubitemid 40134505)
44. T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with Misfitting inclusions Acta Metall 21 1973 571 574
45. S. Giordano, P.L. Palla, and L. Colombo Nonlinear elasticity of composite materials. Landau coefficients in dispersions of spherical and cylindrical inclusions Eur Phys J B 68 2009 89 101
46. Y. Benveniste A new approach to the application of Mori-Tanaka's theory in composite materials Mech Mater 6 1987 47 157
47. C.H. Chen, and C.H. Cheng Effective elastic moduli of misoriented short-fiber composites Int J Solids Struct 33 1996 2519 2539
48. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc Roy Soc Lond, Ser A 241 1957 376 396
49. J.D. Eshelby The elastic field out side an ellipsoidal inclusion Proc Roy Soc A 252 1959 561 569
50. G. Formica, W. Lacarbonara, and R. Alessi Vibrations of carbon nanotube-reinforced composites J Sound Vib 329 2010 1875 1889
51. T. Mura Micromechanics of defects in solids 1982 Martinus Nijhoff The Hague
52. H.-S. Shen Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: axially-loaded shells Compos Struct 93 2011 2096 2108
53. Z.-X. Wang, and H.-S. Shen Nonlinear vibration of nanotube-reinforced composite plates in thermal environments Comput Mater Sci 50 2011 2319 2330
54. Y.C. Fung, and P. Tong Classical and computational solid mechanics 2001 World Scientific Publishing Co. Singapore
55. F. Tornabene, and E. Viola Vibration analysis of spherical structural elements using the GDQ method Comput Math Appl 53 2007 1538 1560 (Pubitemid 46783384)
56. F. Tornabene, and E. Viola 2-D Solution for free vibrations of parabolic shells using generalized differential quadrature method Eur J Mech A/Solids 27 2008 1001 1025
57. S. Pradyumna, and J.N. Bandyopadhyay Free vibration analysis of functionally graded panels using higher-order finite-element formulation J Sound Vib 318 2008 176 192
58. H. Matsumaga Free vibration and stability of functionally graded shallow shells according to a 2-D higher-order deformation theory Compos Struct 84 2008 132 146
59. M. Farid, P. Zahedinejad, and H.P. Malekzade Three dimensional temperature dependent free vibration analysis of functionally graded material cylindrical panels resting on two parameter elastic foundation using a hybrid semi-analytic, differential quadrature method J Mater Des 31 2010 2 13
60. C.Y. Wang, and L.C. Zhang A critical assessment of the elastic properties and effective wall thickness of single-walled carbon nanotubes Nanotechnology 19 2008 075705