Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations

European Journal of Mechanics, A/Solids

Volumn 35, Issue , 2012, Pages 10-21

  Shen, Hui Shen ^a,b   Zhu, Z H ^c  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b Shanghai Jiao Tong University   (China)

^c YORK UNIVERSITY   (Canada)

Author keywords

Elastic foundation; Functionally graded materials; Postbuckling; Sandwich plate; Temperature dependent properties

Indexed keywords

ELASTIC FOUNDATION; FUNCTIONALLY GRADED; POSTBUCKLING; SANDWICH PLATES; TEMPERATURE-DEPENDENT PROPERTIES;

BUCKLING; FUNCTIONALLY GRADED MATERIALS; THERMAL EFFECTS;

BIOLOGICAL ORGANS;

EID: 84857674912     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2012.01.005     Document Type: Article

References (49)

1. V. Anumandla, and R.F. Gibson A comprehensive closed form micromechanics model for estimating the elastic modulus of nanotube-reinforced composites Composites: Part A 37 2006 2178 2185 (Pubitemid 44750828)
2. C.S. Babu, and T. Kant Two shear deformable finite element models for buckling analysis of skew fiber-reinforced composite and sandwich panels Compos. Struct. 46 1999 115 124 (Pubitemid 29485741)
3. C.S. Babu, and T. Kant Refined higher order finite element models for thermal buckling of laminated composite and sandwich plates J. Therm. Stress. 23 2000 111 130 (Pubitemid 35422232)
4. D.W. Brenner, O.A. Shenderova, J.A. Harrison, S.J. Stuart, B. Ni, and S.B. Sinnott A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons J. Phys. Condens. Matter 14 2002 783 802 (Pubitemid 34153770)
5. M. Cetkovic, and Dj Vuksanovic Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model Compos. Struct. 88 2009 219 227
6. A.M.K. Esawi, and M.M. Farag Carbon nanotube reinforced composites: potential and current challenges Mater. Des. 28 2007 2394 2401 (Pubitemid 46958951)
7. G. Formica, W. Lacarbonara, and R. Alessi Vibrations of carbon nanotube-reinforced composites J. Sound Vib. 329 2010 1875 1889
8. H. Fukuda, and K. Kawata On Young's modulus of short fibre composites Fibre Sci. Technol. 7 1974 207 222
9. L.A. Girifalco, and R.A. Lad Energy of cohesion, compressibility, and the potential energy functions of the graphite system J. Chem. Phys. 25 1956 693 697
10. M. Griebel, and J. Hamaekers Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites Comput. Methods Appl. Mech. Eng. 193 2004 1773 1788 (Pubitemid 38462120)
11. 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)
12. W.G. Hoover Canonical dynamics: equilibrium phase-space distributions Phys. Rev. A 31 1985 1695 1697
13. 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
14. H. Kwon, C.R. Bradbury, and M. Leparoux Fabrication of functionally graded carbon nanotube-reinforced aluminum matrix composite Adv. Eng. Mater. 13 2011 325 329
15. X. Li, H. Gao, W.A. Scrivens, D. Fei, X. Xu, M.A. Sutton, A.P. Reynolds, and M.L. Myrick Reinforcing mechanisms of single-walled carbon nanotube-reinforced polymer composites J. Nanosci. Nanotechnol. 7 2007 2309 2317
16. L. Librescu, S.-Y. Oh, and O. Song Thin-walled beams made of functionally graded materials and operating in a high temperature environment: vibration and stability J. Therm. Stress. 28 2005 649 712 (Pubitemid 40750375)
17. H. Matsunaga Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory Compos. Struct. 68 2005 439 454 (Pubitemid 40032303)
18. S.A. Meguid, and Y. Sun On the tensile and shear strength of nano-reinforced composite interfaces Mater. Des. 25 2004 289 296 (Pubitemid 38439255)
19. T. Morimoto, Y. Tanigawa, and R. Kawamura Thermal buckling analysis of inhomogeneous rectangular plate due to uniform heat supply J. Therm. Stress. 26 2003 1151 1170
20. A.K. Nayak, S.S.J. Moy, and R.A. Shenoi A higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates J. Sound Vib. 286 2005 763 780 (Pubitemid 41000052)
21. A.K. Noor, and W.S. Burton Three-dimensional solutions for the thermal buckling and sensitivity derivatives of temperature sensitive multilayered angle-ply plates ASME J. Appl. Mech. 59 1992 848 856 (Pubitemid 23620392)
22. A.K. Noor, J.M. Peters, and W.S. Burton Three-dimensional solutions for initially stressed structural sandwiches ASCE J. Eng. Mech. 120 1994 284 303
23. 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
24. J.N. Reddy A refined nonlinear theory of plates with transverse shear deformation Int. J. Solids Struct. 20 1984 881 896 (Pubitemid 15434613)
25. 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)
26. H.-S. Shen Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments Compos. Struct. 91 2009 9 19
27. H.-S. Shen Functionally Graded Materials Nonlinear Analysis of Plates and Shells 2009 CRC Press Boca Raton
28. H.-S. Shen Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium Compos. Struct. 94 2012 1144 1154
29. H.-S. Shen, and S.-R. Li Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties Composites Part B 39 2008 332 344 (Pubitemid 351248789)
30. H.-S. Shen, and Z.-X. Wang Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations Compos. Struct. 92 2010 2517 2524
31. 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
32. 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
33. H.M. Shodja, H. Haftbaradaran, and M. Asghari A thermoelasticity solution of sandwich structures with functionally graded coating Compos. Sci. Technol. 67 2007 1073 1080 (Pubitemid 46158644)
34. 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)
35. C.H. Sun, F. Li, H.M. Cheng, and G.Q. Lu Axial Young's modulus prediction of single-walled carbon nanotube arrays with diameters from nanometer to meter scales Appl. Phys. Lett. 87 2005 193101
36. Y.S. Touloukian Thermophysical Properties of High Temperature Solid Materials 1967 McMillan New York
37. J.R. Vinson Sandwich structures Appl. Mech. Rev. 54 2001 201 214 (Pubitemid 33715633)
38. 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
39. 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
40. Z.-X. Wang, and H.-S. Shen Nonlinear vibration of nanotube-reinforced composite plates in thermal environments Comput. Mater. Sci. 50 2011 2319 2330
41. Z.-X. Wang, and H.-S. Shen Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets Composites Part B 43 2012 411 421
42. 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)
43. X.-K. Xia, and H.-S. Shen Vibration of post-buckled sandwich plates with FGM face sheets in a thermal environment J. Sound Vib. 314 2008 254 274
44. H. Xia, and M. Song Preparation and characterization of polyurethane-carbon nanotube composites Soft Matter 1 2005 386 394 (Pubitemid 41659527)
45. J. Yang, H.-S. Shen, and L. Zhang Nonlinear local response of foam-filled sandwich plates with laminated faces under combined transverse and in-plane loads Compos. Struct. 52 2001 137 148 (Pubitemid 32386784)
46. A.M. Zenkour A comprehensive analysis of functionally graded sandwich plates: part 2-buckling and free vibration Int. J. Solids Struct. 42 2005 5243 5258 (Pubitemid 40753484)
47. A.M. Zenkour, and M. Sobhy Thermal buckling of various types of FGM sandwich plates Compos. Struct. 93 2010 93 102
48. C.-L. Zhang, and H.-S. Shen Temperature-dependent elastic properties of single-walled carbon nanotubes: prediction from molecular dynamics simulation Appl. Phys. Lett. 89 2006 081904
49. W. Zhang, J. Suhr, and N.A. Koratkar Observation of high buckling stability in carbon nanotube polymer composites Adv. Mater. 18 2006 452 456