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Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

Published online by Cambridge University Press:  03 June 2015

R. Mohammadzadeh ,
M. M. Najafizadeh  and
M. Nejati
R. Mohammadzadeh*
Affiliation:
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
M. M. Najafizadeh
Affiliation:
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
M. Nejati
Affiliation:
Young Researchers Club, Islamic Azad University, Arak Branch, Arak, Iran
*
*Corresponding author. Email: rmohammadzadeh@ymail.com
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Abstract

This paper presents the stability of two-dimensional functionally graded (2D-FG) cylindrical shells subjected to combined external pressure and axial compression loads, based on classical shell theory. The material properties of functionally graded cylindrical shell are graded in two directional (radial and axial) and determined by the rule of mixture. The Euler’s equation is employed to derive the stability equations, which are solved by GDQ method to obtain the critical mechanical buckling loads of the 2D-FG cylindrical shells. The effects of shell geometry, the mechanical properties distribution in radial and axial direction on the critical buckling load are studied and compared with a cylindrical shell made of 1D-FGM. The numerical results reveal that the 2D-FGM has a significant effect on the critical buckling load.

Keywords

74K2574G60Mechanical buckling2D-FG cylindrical shellcombined loadclassical shell theoryGDQ method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 3 , June 2013 , pp. 391 - 406
Copyright
Copyright © Global-Science Press 2013

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References

[1]Yamanouchi, M., Koizumi, M., Hirai, T. and Shiota, I., Functionally Gradient Materials, Proc. First Int. Sympos, Japan, 1990.Google Scholar
[2]Koizumi, M., Functionally gradient materials, The Concept of FGM. Ceramic Trans., 34 (1993), pp. 3–10.Google Scholar
[3]Brush, D. O. and Almorth, B. O., Buckling of Bars, Plates and Shells, New York, McGraw-Hill, 1975.CrossRefGoogle Scholar
[4]Vodenitcharova, T. and Ansourian, P., Buckling of circular cylindrical shells subjected to uniform lateral pressure, J. Eng. Struct., 18(8) (1996), pp. 604–614.Google Scholar
[5]Khazaeinejad, P., Najafizadeh, M. M., Jenabi, J. and Isvandzibaei, M. R., On the buckling of functionally graded cylindrical shells under combined external pressure and axial compression, Int. J. Pressure Vessel Tech., 132 (2010).Google Scholar
[6]Nemat-Alla, M., Reduction of thermal stresses by developing two dimensional functionally graded materials, Int. J. Solids Struct., 40 (2003), pp. 7339–7356.Google Scholar
[7]Dhaliwal, R. S. and Singh, B. M., On the theory of elasticity of a non-homogenous medium, J. Elast., 8 (1978), pp. 211–219.Google Scholar
[8]Aragh, B. Sobhani and Hedayati, H., Static response and free vibration of two-dimensional functionally graded metal/ceramic open cylindrical shells under various boundary conditions, Acta Mech., 223(2) (2012), pp. 309–330.CrossRefGoogle Scholar
[9]Pindera, M. J. and Aboudi, J., HOTCFGM-2D: HOTCFGM-2D: A coupled higher-order theory for cylindrical structural components with bi-directionally components with bi-directionally graded microstructures, Final Report for NASA (Glenn Research Center), 2000, ID: 20000121257.Google Scholar
[10]Asgari, M., Akhlaghi, M. and Hosseini, M., Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading, Acta Mech., 208 (2009), pp. 163–180.Google Scholar
[11]C, C. Shu, Differential Quadrature and Its Application in Engineering, Berlin, Springer, 2000.Google Scholar
[12]Suresh, S. and Mortensen, A., Fundamentals of Functionally Graded Materials, London, IOM Comunications Ltd, 1998.Google Scholar
[13]Reddy, J. N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Boca Raton, CRC Press LLC; 2004.Google Scholar
[14]Kargarnovin, M. H. and Shahsanami, M., Buckling analysis of a composite cylindrical shell with fiber’s material properties changing lengthwise using first-order shear deformation theory, Shiraz, IRAN: Int Conf Mechanical Engineering, 2012.Google Scholar
[15]Shen, H. S., Post-buckling analysis of loaded functionally graded cylindrical shells in thermal environments, J. Eng. Struct., 25(4) (2003), pp. 487–497.Google Scholar
[16]Sofiyev, A. V., Vibration and stability of composite cylindrical shells containing a fg layer subjected to various loads, J. Struct. Eng. Mech., 27(3) (2007), pp. 365–391.Google Scholar
[17]Rahmani, A. R., Thermal and Mechanical Buckling of Short and Long FG Cylindrical Shells Based on Some Variety Theory of the Shells, Department of Mechanical Engineering, Islamic Azad university, Arak Branch, Arak, IRAN: Final Thesis, 2007.Google Scholar