Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments

Nonlinear Dynamics

Volumn 70, Issue 1, 2012, Pages 735-754

  Wang, Zhen Xin ^a   Shen, Hui Shen ^a,b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b Shanghai Jiao Tong University   (China)

Author keywords

Dynamic response; Elastic foundation; Functionally graded materials; Nanocomposites; Temperature dependent properties

Indexed keywords

COMPOSITE PLATES; CORE LAYERS; EDGE LOADS; EFFECTS OF MATERIALS; ELASTIC FOUNDATION; FOUNDATION STIFFNESS; FUNCTIONALLY GRADED; HIGHER ORDER SHEAR DEFORMATION THEORY; INITIAL STRESS; KINEMATIC NONLINEARITY; MATERIAL PROPERTY; MICROMECHANICAL MODEL; PARAMETRIC STUDY; SHEET THICKNESS; SINGLE LAYER; TEMPERATURE CHANGES; TEMPERATURE DEPENDENT; TEMPERATURE-DEPENDENT PROPERTIES; THERMAL ENVIRONMENT; THICKNESS DIRECTION; THREE-LAYER; VOLUME FRACTION DISTRIBUTION;

BIOLOGICAL ORGANS; EQUATIONS OF MOTION; FUNCTIONALLY GRADED MATERIALS; NANOCOMPOSITES; REINFORCEMENT; SINGLE-WALLED CARBON NANOTUBES (SWCN); THERMAL EFFECTS;

DYNAMIC RESPONSE;

EID: 84867897889     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0491-2     Document Type: Article

References (46)

1. Ajayan, P.M.; Stephan, O.; Colliex, C.; Trauth, D.: Aligned carbon nanotube arrays formed by cutting a polymer resinnanotube composite. Science 265, 1212-1214 (1994)
2. Thostenson, E.T.; Chou, T.W.: Aligned multi-walled carbon nanotube-reinforced composites: processing and mechanical characterization. J. Phys. D, Appl. Phys. 35, L77 (2002)
3. Sun, C.H.; Li, F.; Cheng, H.M.; Lu, G.Q.: Axial Young's modulus prediction of single-walled carbon nanotube arrays with diameters from nanometer to meter scales. Appl. Phys. Lett. 87, 193101 (2005)
4. Griebel, M.; Hamaekers, J.: Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. Comput. Methods Appl. Mech. Eng. 193, 1773-1788 (2004)
5. Song, Y.S.; Youn, J.R.: Modeling of effective elastic properties for polymer based carbon nanotube composites. Polymer 47, 1741-1748 (2006)
6. Han, Y.; Elliott, J.: Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Comput. Mater. Sci. 39, 315-323 (2007)
7. Bonnet, P.; Sireude, D.; Garnier, B.; Chauvet, O.: Thermal properties and percolation in carbon nanotube-polymer composites. J. Appl. Phys. 91, 201910 (2007)
8. Meguid, S.A.; Sun, Y.: On the tensile and shear strength of nano-reinforced composite interfaces. Mater. Des. 25, 289-296 (2004)
9. Shen, H.-S.: Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Compos. Struct. 91, 9-19 (2009)
10. Shen, H.-S.; Zhang, C.-L.: Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Mater. Des. 31, 3403-3411 (2010)
11. Shen, H.-S.; Zhu, Z.H.: Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments. Comput. Mater. Continua 18, 155-182 (2010)
12. Wang, Z.-X.; Shen, H.-S.: Nonlinear vibration of nanotube-reinforced composite plates in thermal environments. Comput. Mater. Sci. 50, 2319-2330 (2011)
13. Shen, H.-S.: Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part I: axially-loaded shells. Compos. Struct. 93, 2096-2108 (2011)
14. Shen, H.-S.: Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part II: pressure-loaded shells. Compos. Struct. 93, 2496-2503 (2011)
15. Shen, H.-S.: Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Composites, Part B, Eng. 43, 1030-1038 (2012)
16. Shen, H.-S.; Xiang, Y.: Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Comput. Methods Appl. Mech. Eng. 213-216, 196-205 (2012)
17. Zhu, P.; Lei, Z.X.; Liew, K.M.: Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Compos. Struct. 94, 1450-1460 (2012)
18. Mehrabadi, S.J.; Aragh, B.S.; Khoshkhahesh, V.; Taherpour, A.: Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes. Composites, Part B, Eng. 43, 2031-2040 (2012)
19. Aragh, B.S.; Hedayati, H.: Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels. Composites, Part B, Eng. 43, 1943-1954 (2012)
20. Ke, L.-L.; Yang, J.; Kitipornchai, S.: Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams. Compos. Struct. 92, 676-683 (2010)
21. Yas, M.H.; Heshmati, M.: Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load. Appl. Math. Model. 36, 1371-1394 (2012)
22. Kwon, H.; Bradbury, C.R.; Leparoux, M.: Fabrication of functionally graded carbon nanotube-reinforced aluminum matrix composite. Adv. Eng. Mater. 13, 325-329 (2011)
23. Wang, Z.-X.; Shen, H.-S.: Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Composites, Part B, Eng. 43, 411-421 (2012)
24. Shen, H.-S.; Zhu, Z.H.: Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. Eur. J. Mech. A, Solids 35, 10-21 (2012)
25. Reddy, J.N.: A refined nonlinear theory of plates with transverse shear deformation. Int. J. Solids Struct. 20, 881-896 (1984)
26. Shen, H.-S.: Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis. Appl. Math. Mech. 18, 1137-1152 (1997)
27. Seidel, G.D.; Lagoudas, D.C.: Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites. Mech. Mater. 38, 884-907 (2006)
28. Li, X.; Gao, H.; Scrivens, W.A.; Fei, D.; Xu, X.; Sutton, M.A.; Reynolds, A.P.; Myrick, M.L.: Reinforcing mechanisms of single-walled carbon nanotube-reinforced polymer composites. J. Nanosci. Nanotechnol. 7, 2309-2317 (2007)
29. Esawi, A.M.K.; Farag, M.M.: Carbon nanotube reinforced composites: potential and current challenges. Mater. Des. 28, 2394-2401 (2007)
30. Anumandla, V.; Gibson, R.F.: A comprehensive closed form micromechanics model for estimating the elastic modulus of nanotube-reinforced composites. Composites, Part A, Appl. Sci. Manuf. 37, 2178-2185 (2006)
31. Librescu, L.; Oh, S.-Y.; Song, O.: Thin-walled beams made of functionally graded materials and operating in a high temperature environment: vibration and stability. J. Therm. Stresses 28, 649-712 (2005)
32. Shen, H.-S.; Wang, Z.-X.: Assessment of Voigt and Mori-Tanaka models for vibration analysis of functionally graded plates. Compos. Struct. 94, 2197-2208 (2012)
33. Shen, H.-S.: Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium. Compos. Struct. 94, 1144-1154 (2012)
34. Qian, D.; Dickey, E.C.; Andrews, R.; Rantell, T.: Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl. Phys. Lett. 76, 2868-2870 (2000)
35. Yang, J.; Shen, H.-S.: Dynamic response of initially stressed functionally graded rectangular thin plates. Compos. Struct. 54, 497-508 (2001)
36. Yang, J.; Shen, H.-S.; Zhang, L.: Nonlinear local response of foam-filled sandwich plates with laminated faces under combined transverse and in-plane loads. Compos. Struct. 52, 137-148 (2001)
37. Schwaar, M.; Gmür, T.; Frieden, J.: Modal numerical-experimental identification method for characterising the elastic and damping properties in sandwich structures with a relatively stiff core. Compos. Struct. 94, 2227-2236 (2012)
38. Shen, H.-S.; Yang, J.; Zhang, L.: Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations. J. Sound Vib. 244, 299-320 (2001)
39. Yang, J.; Zhang, L.: Nonlinear analysis of imperfect laminated thin plates under transverse and in-plane loads and resting on an elastic foundation by a semianalytical approach. Thin-Walled Struct. 38, 195-227 (2000)
40. Shen, H.-S.: Nonlinear thermal bending response of FGM plates due to heat conduction. Composites, Part B, Eng. 38, 201-215 (2007)
41. Wang, C.Y.; Zhang, L.C.: A critical assessment of the elastic properties and effective wall thickness of single-walled carbon nanotubes. Nanotechnology 19, 075705 (2008)
42. Fukuda, H.; Kawata, K.: On Young's modulus of short fibre composites. Fibre Sci. Technol. 7, 207-222 (1974)
43. Wen, P.H.: The fundamental solution of Mindlin plates resting on an elastic foundation in the Laplace domain and its applications. Int. J. Solids Struct. 45, 1032-1050 (2008)
44. Ramachandra, L.S.; Meyer-Piening, H.R.: Transient response of sandwich plates in contact with water. Comput. Struct. 60, 677-681 (1996)
45. Nayka, A.K.; Shenoi, R.A.; Moy, S.S.J.: Dynamic response of composite sandwich plates subjected to initial stresses. Composites, Part A, Appl. Sci. Manuf. 37, 1189-1205 (2006)
46. Touloukian, Y.S.: Thermophysical Properties of High Temperature Solid Materials. McMillan, New York (1967)