Dynamic stability of functionally graded carbon nanotube-reinforced composite beams

Mechanics of Advanced Materials and Structures

Volumn 20, Issue 1, 2013, Pages 28-37

  Ke, Liao Liang ^a,d   Yang, Jie ^b   Kitipornchai, Sritawat ^c  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b RMIT UNIVERSITY   (Australia)

^c UNIVERSITY OF QUEENSLAND   (Australia)

^d CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Buckling; Dynamic stability; Free vibration; Functionally graded materials; Nanocomposites; Timoshenko beam theory

Indexed keywords

BOLOTIN'S METHOD; BOUNDARY POINTS; COMPOSITE BEAM; DIFFERENTIAL QUADRATURE METHODS; DYNAMIC STABILITY ANALYSIS; ELASTIC BUCKLING; FREE VIBRATION; FUNCTIONALLY GRADED; GOVERNING DIFFERENTIAL EQUATIONS; MATERIAL PROPERTY; NUMERICAL RESULTS; PARAMETRIC STUDY; RULE OF MIXTURE; SLENDERNESS RATIOS; THICKNESS DIRECTION; TIMOSHENKO BEAM THEORY; UNSTABLE REGIONS;

BUCKLING; COMPOSITE BEAMS AND GIRDERS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FUNCTIONALLY GRADED MATERIALS; LINEAR SYSTEMS; NANOCOMPOSITES; PARTICLE BEAMS; SINGLE-WALLED CARBON NANOTUBES (SWCN); STABILITY;

REINFORCEMENT;

EID: 84872281607     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376494.2011.581412     Document Type: Article

References (45)

1. 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., vol. 61, pp. 1899-1912, 2001.
2. A.M.K. Esawi and M.M. Farag, Carbon nanotube reinforced composites: Potential and current challenges, Mater. Design, vol. 28, pp. 2394-2401, 2007. (Pubitemid 46958951)
3. P.M. Ajayan, O. Stephan, C. Colliex, and D. Trauth, Aligned carbon nanotube arrays formed by cutting a polymer resin-nanotube composite, Science, vol. 256, pp. 1212-1214, 1994. (Pubitemid 24292785)
4. 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., vol. 63, pp. 1671-1687, 2003. (Pubitemid 36914805)
5. E.T. Thostenson and T.W. Chou, On the elastic properties of carbon nanotube-based composites: Modelling and characterization, J. Phys. A-Appl. Phys., vol. 36, pp. 573-582, 2003.
6. M. Griebel and J. Hamaekers, Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites, Com-put. Method. Appl. Mech. Eng., vol. 193, pp. 1773-1788, 2004. (Pubitemid 38462120)
7. J.D. Fidelus, E. Wiesel, F.H. Gojny, K. Schulte, and H.D. Wagner, Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Compos. Part A, vol. 36, pp. 1555-1561, 2005. (Pubitemid 41384000)
8. N. Hu, H. Fukunaga, C. Lu, M. Kameyama, and B. Yan, Prediction of elastic properties of carbon nanotube reinforced composites, P. Roy. Soc. A, vol. 461, pp. 1685-1710, 2005. (Pubitemid 40991897)
9. 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., vol. 447, pp. 51-57, 2007. (Pubitemid 46109961)
10. B. Ashrafi and P. Hubert, Modeling the elastic properties of carbon nanotube array/polymer composites, Compos. Sci. Technol., vol. 66, pp. 387-396, 2006. (Pubitemid 43019666)
11. Y.S. Xu, G. Ray, and B. Abdel-Magid, Thermal behavior of single-walled carbon nanotube polymer-matrix composites, Compos. Part A, vol. 37, pp. 114-121, 2006. (Pubitemid 41828385)
12. Y. Han and J. Elliott, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comp. Mater. Sci., vol. 39, pp. 315-323, 2007. (Pubitemid 46367907)
13. A. Al-Ostaz, G. Pal, P.R. Mantena, and A. Cheng, Molecular dynamics simulation of SWCNT-polymer nanocomposite and its constituents, J. Mater. Sci., vol. 43, pp. 164-173, 2008. (Pubitemid 350212182)
14. J. Wuite and S. Adali, Deflection and stress behaviour of nanocom-posite reinforced beams using a multiscale analysis, Compos. Struct., vol. 71, pp. 388-396, 2005. (Pubitemid 41715428)
15. T. Vodenitcharova and L.C. Zhang, Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nan-otube, Int. J. Solids Struct., vol. 43, pp. 3006-3024, 2006.
16. 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., vol. 16, pp. 1936-1947, 2007. (Pubitemid 351291559)
17. A. Salehi-Khojin and N. Jalili, Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings, Compos. Sci. Technol., vol. 68, pp. 1489-1501, 2008. (Pubitemid 351372796)
18. L.S. Schadler, S.C. Giannaris, and P.M. Ajayan, Load transfer in carbon nanotube epoxy composites, Appl. Phys. Lett., vol. 73, pp. 3842-3844, 1998. (Pubitemid 128674229)
19. D. Qian, E.C. Dickey, R. Andrews, and T. Rantell, Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites, Appl. Phys. Lett., vol. 76, pp. 2868-2870, 2000.
20. S. Suresh and A. Mortensen, Fundamentals of Functionally Graded Materials: Processing and Thermomechanical Behavior of Graded Metals and Metal-Ceramic Composites, IOM Communications Ltd, London, 1998.
21. J. Yang and H.S. Shen, Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions, Compos. Part B, vol. 34, pp. 103-115, 2003.
22. A.J.M. Ferreira, R.C. Batra, C.M.C. Roque, L.F. Qian, and P.A.L.S. Martins, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Compos. Struct., vol. 69, pp. 449-457, 2005. (Pubitemid 40473622)
23. K.S. Na and J.H. Kim, Three-dimensional thermomechanical buckling analysis for functionally graded composite plates, Compos. Struct., vol. 73, pp. 413-422, 2009.
24. L.L. Ke, J. Yang, S. Kitipornchai, and Y. Xiang, Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials, Mech. Adv. Mater. Struct., vol. 16, pp. 488-502, 2009.
25. T.Y. Ng, K.Y. Lam, K.M. Liew, and J.N. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, Int. J. Solids Struct., vol. 38, pp. 1295-1309, 2001.
26. J. Yang and H.S. Shen, Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels, J. Sound Vib., vol. 261, pp. 871-893, 2003.
27. J. Zhu, C. Chen, Y. Shen, and S. Wang, Dynamic stability of functionally graded piezoelectric circular cylindrical shells, Mater. Lett., vol. 59, pp. 477-485, 2005.
28. M. Ganapathi, Dynamic stability characteristics of functionally graded materials shallow spherical shells, Compos. Struct., vol. 79, pp. 338-343, 2007. (Pubitemid 46370441)
29. L.H. Wu, H.J. Wang, and D.B. Wang, Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method, Compos. Struct., vol. 77, pp. 383-394, 2007.
30. T.L. Wu, K.K. Shukla, and J.H. Huang, Post-buckling analysis of functionally graded rectangular plates, Compos. Struct., vol. 81, pp. 1-10, 2007. (Pubitemid 46939679)
31. L.L. Ke, J. Yang, and S. Kitipornchai, Postbuckling analysis of edge cracked functionally graded Timoshenko beams under end shortening, Compos. Struct., vol. 90, pp. 152-160, 2009.
32. H. Matsunaga, Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory, Compos. Struct., vol. 88, pp. 519-531, 2009.
33. J. Yang, S. Kitipornchai, K.M. Liew, Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates, Com-put. Method. Appl. Mech. Eng., vol. 192, pp. 3861-3885, 2003 (Pubitemid 37042312)
34. C.S. Chen, Nonlinear vibration of a shear deformable functionally graded plate, Compos. Struct., vol. 68, pp. 295-302, 2005.
35. J. Woo, S.A. Meguid, and L.S. Ong, Nonlinear free vibration behavior of functionally graded plates, J. Sound Vib., vol. 289, pp. 595-611, 2006. (Pubitemid 41586651)
36. S. Kitipornchai, L.L. Ke, J. Yang, and Y. Xiang, Nonlinear vibration of edge cracked functionally graded Timoshenko beams, J. Sound Vib., vol. 324, pp. 962-982, 2009.
37. L.L. Ke, J. Yang, and S. Kitipornchai, and Y. Xiang, An analytical study on the nonlinear vibration of functionally graded beams, Meccanica, 2010. DOI: 10.1007/s11012-009-9276-1.
38. H.S. Shen, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos. Struct., vol. 91, pp. 9-19, 2009.
39. L.L. Ke, J. Yang, and S. Kitipornchai, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite Timo-shenko beam, Compos. Struct., vol. 92, pp. 678-683, 2010.
40. H.S. Shen and C.L. Zhang, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Mater. Design, vol. 31, pp. 3403-3411, 2010.
41. C.W. Bert, X. Wang, and A.G. Striz, Differential quadrature for static and free vibration analysis of anisotropic plates, Int. J. Solids Struct., vol. 30, pp. 1737-1744, 1993.
42. C. Shu, Differential Quadrature and its Application in Engineering, Springer, London, 2000.
43. L.L. Ke, Y. Xiang, J. Yang, and S. Kitipornchai, Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory, Comp. Mater. Sci., vol. 47, pp. 409-417, 2009.
44. V.V. Bolotin, The dynamic stability of elastic systems, Holden-Day, San Francisco, CA, 1964.
45. T. Yokoyama, Parametric instability of Timoshenko beams resting on an elastic foundation, Comput. Struct., vol. 28, pp. 207-216, 1988. (Pubitemid 18576025)