Thermal Buckling and Postbuckling Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Beams

Abstract:

Thermal buckling and postbuckling of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams are investigated in this paper based on Timoshenko beam theory within the framework of von Kármán geometric nonlinearity. The material properties of FG-CNTRCs are assumed to be temperature-dependent and vary in the beam thickness direction. The governing equations are derived by employing Hamilton’s principle then discretized by using differential quadrature (DQ) method. An iterative scheme is used to obtain the critical buckling temperature and nonlinear thermal postbuckling equilibrium path of the FG-CNTRC beam. Numerical results are presented for FG-CNTRC beams hinged or clamped at both ends, with particular focuses on the effects of the volume fraction of carbon nanotubes (CNTs), slenderness ratio, and end supports on the thermal buckling and postbuckling characteristics.

• Periodical: Applied Mechanics and Materials (Volume 846)
• Pages: 182-187
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.846.182
• Online since: July 2016
• Authors: He Long Wu, Sritawat Kitipornchai, Jie Yang*
• Keywords: Carbon Nanotube-Reinforced Composites, Differential Quadrature, Functionally Graded Materials, Postbuckling, Thermal Buckling

References

[1] Qian, D., Dickey, E.C., Andrews, R., and Rantell, T., Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Applied physics letters, 2000. 76(20): pp.2868-2870.

DOI: 10.1063/1.126500

[2] Shen, H. -S., Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 2009. 91(1): pp.9-19.

DOI: 10.1016/j.compstruct.2009.04.026

[3] Kwon, H., Bradbury, C.R., and Leparoux, M., Fabrication of Functionally Graded Carbon Nanotube‐Reinforced Aluminum Matrix Composite. Advanced engineering materials, 2011. 13(4): pp.325-329.

DOI: 10.1002/adem.201000251

[4] Yas, M. and Samadi, N., Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation. International Journal of Pressure Vessels and Piping, 2012. 98: pp.119-128.

DOI: 10.1016/j.ijpvp.2012.07.012

[5] Wattanasakulpong, N. and Ungbhakorn, V., Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation. Computational Materials Science, 2013. 71: pp.201-208.

DOI: 10.1016/j.commatsci.2013.01.028

[6] Rafiee, M., Yang, J., and Kitipornchai, S., Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams. Computers & Mathematics with Applications, 2013. 66(7): pp.1147-1160.

DOI: 10.1016/j.camwa.2013.04.031

[7] Wu, H., Kitipornchai, S., and Yang, J., Free Vibration and Buckling Analysis of Sandwich Beams with Functionally Graded Carbon Nanotube-Reinforced Composite Face Sheets. International Journal of Structural Stability and Dynamics, 2015. 15(7): p.1540011.

DOI: 10.1142/s0219455415400118

[8] Yang, J., Liew, K.M., Wu, Y.F., and Kitipornchai, S., Thermo-mechanical post-buckling of FGM cylindrical panels with temperature-dependent properties. International Journal of Solids and Structures, 2006. 43(2): pp.307-324.

DOI: 10.1016/j.ijsolstr.2005.04.001

[9] Shen, H. -S. and Zhang, C. -L., Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design, 2010. 31(7): pp.3403-3411.

DOI: 10.1016/j.matdes.2010.01.048

[10] Khdeir, A., Thermal buckling of cross-ply laminated composite beams. Acta mechanica, 2001. 149(1-4): pp.201-213.

DOI: 10.1007/bf01261672

[11] Rao, G.V. and Varma, R.R., Heuristic thermal postbuckling and large-amplitude vibration formulations of beams. AIAA journal, 2009. 47(8): p.1977-(1980).

DOI: 10.2514/1.43505