### Buckling and postbuckling of carbon nanotube-reinforced composite cylindrical panels subjected to axial compression in thermal environments

#### Abstract

This paper presents an analytical investigation on the buckling and postbuckling behavior of thin composite cylindrical panels reinforced by single walled carbon nanotubes (SWCNTs), exposed to thermal environments and subjected to uniform axial compression. Material properties of isotropic matrix phase and carbon nanotubes are assumed to be temperature dependent, and effective properties of carbon nanotube-reinforced composite (CNTRC) are functionally graded in the thickness direction and estimated by extended rule of mixture. Governing equations are based on the classical thin shell theory taking von Karman-Donnell nonlinearity and initial geometrical imperfection into consideration. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin procedure is applied to derive explicit expressions of buckling loads and load-deflection relation. Effects of volume fraction and distribution type of carbon nanotubes, geometrical parameters, elevated temperature and initial imperfection on the nonlinear stability of CNTRC cylindrical panels are analyzed and discussed. The novelty of the present study is that closed-form results of buckling load and nonlinear load-deflection relation can be readily used to analyze the buckling and postbuckling behaviors of axially loaded CNTRC cylindrical panels.

#### Keywords

#### Full Text:

PDF#### References

J.N. Coleman, U. Khan, W.J. Blau, and Y.K. Gun’ko. Small but strong: A review of the mechanical properties of carbon nanotube-polymer composites. Carbon , 44, (2006), pp. 1624-1652.

Z. Spitalsky, D. Tasis, K. Papagelis, and C. Galiotis. Carbon nanotube-polymer composites: Chemistry, processing, mechanical and electrical properties. Progress in Polymer Science, 35, (2010), pp. 357-401.

E.T. Thostenson, Z. Ren, and T.W. Chou. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61, (2001), pp. 1899-1912.

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

Z.X. Lei, K.M. Liew, and J.L Yu. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98, (2013), pp. 160-168.

L.W.Zhang, Z.X. Lei, and K.M. Liew. Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach. Composites Part B, 75, (2015), pp. 36-46.

Z.X. Lei, L.W. Zhang, and K.M. Liew. Buckling of FG-CNT reinforced composite thick skew plates resting on Pasternak foundations based on an element-free approach. Applied Mathematics and Computation, 266, (2015), pp. 773-791.

N. Wattanasakulpong and A. Chaikittiratana. Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation. Applied Mathemetical Modelling, 39, (2015), pp. 5459-5472.

M. Wang, Z.M. Li, and P. Qiao. Semi-analytical solutions to buckling and free vibration analysis of carbon nanotube-reinforced composite thin plates. Composite Structures, 144, (2016), pp. 33-43.

S. Jafari Mehrabadi, B. Sobhani Aragh, V. Khoshkhahesh, and A. Taherpour. Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes. Composites Part B, 43, (2012), pp. 2031-2040.

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

H.V. Tung. Thermal buckling and postbuckling behavior of functionally graded carbon-nanotube-reinforced composite plates resting on elastic foundations with tangential-edge restraints. Journal of Thermal Stresses, (2016), In press, http://dx.doi.org/10.1080/01495739.2016.1254577.

A. Alibeigloo. Thermoelastic analysis of functionally graded carbon nanotube reinforced composite cylindrical panel embedded in piezoelectric sensor and actuator layers. Composites Part B, 98, (2016), pp. 225-243.

A. Alibeigloo. Elasticity solution of functionally graded carbon nanotube-reinforced composite cylindrical panel subjected to thermo mechanical load. Composites Part B, 87, (2016), pp. 214-226.

A. Pourasghar and Z. Chen. Thermoelastic response of CNT reinforced cylindrical panel resting on elastic foundation using theory of elasticity. Composites Part B, 99, (2016), pp. 436-444.

A. Alibeigloo. Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity. European Journal of Mechanics A/Solids, 44, (2014), pp. 104-115.

Y. Kiani. Free vibration of FG-CNT reinforced composite spherical shell panels using Gram-Schmidt shape functions. Composite Structures, 159, (2017), pp. 368-381.

M. Mirzaei and Y. Kiani. Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels. Composite Structures, 142, (2016), pp. 45-56.

M. Nasihatgozar, V. Daghigh, M. Eskandari, K. Nikbin, and A. Simoneau. Buckling analysis of piezoelectric cylindrical composite panels reinforced with carbon nanotubes. International Journal of Mechanical Sciences, 107, (2016), pp. 69-79.

E.M. Garcia, L.T. Rodriguez, R.T. Castro, and S. Andres. Buckling analysis of functionally graded carbon nanotube reinforced curved panels under axial compression and shear. Composites part B, 108, (2017), pp. 243-256.

H.S. Shen. Postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations subjected to lateral pressure in thermal environments. Engineering Structures, 122, (2016), pp. 174-183.

H.S. Shen and Y. Xiang. Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composites Part B, 67, (2014), pp. 50-61.

H.S. Shen and Y. Xiang. Nonlinear response of nanotube-reinforced composite cylindrical panels subjected to combined loadings and resting on elastic foundations. Composite Structures, 131, (2015), pp. 939-950.

N.N. Duc and H.V. Tung. Nonlinear analysis of stability for functionally graded cylindrical panels under axial compression. Computational Materials Science, 49, (2010), pp. S313-S316.

H.V. Tung. Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations. Composite Structures, 100, (2013), pp. 532-541.

Y. Han and J. Elliott. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Computational Materials Science, 39, (2007), pp. 315-323.

DOI: https://doi.org/10.15625/0866-7136/10088 Display counter: Abstract : 305 views. PDF : 63 views.

### Refbacks

- There are currently no refbacks.

Copyright (c) 2018 Vietnam Academy of Science and Technology

**Editorial Office of Vietnam Journal of Mechanics**

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 24 3791 7103

Email: vjmech@vjs.ac.vn