Accurate nonlinear buckling analysis of functionally graded porous graphene platelet reinforced composite cylindrical shells

Axially compressed composite cylindrical shells can attain multiple bifurcation points in their post-buckling procedure because of the natural transverse deformation restraint provided by their geometry. In this paper, the post-buckling analysis of functionally graded (FG) multilayer graphene platelets reinforced composite (GPLRC) cylindrical shells under axial compression is carried out to investigate the stability of such shells. Rather than the critical buckling limit, the focus of the present study is to obtain convergence post-buckling response curves of axially compressed FG multilayer GPLRC cylindrical shells. By introducing a unified shell theory, the nonlinear large deflection governing equations for post-buckling of FG multilayer GPLRC cylindrical shells with wide range of thickness are established, which can be easily changed into three widely used shell theories. Load-shortening curves for both symmetric and asymmetric post-buckling modes are obtained by Galerkin's method. Numerical results illustrate that the present solutions agree well with the existing theoretical and experimental data. The effects of geometries and material properties on the post-buckling behaviours of FG multilayer GPLRC cylindrical shells are investigated. The differences in the three shell theories and their scopes are discussed also.

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Nonlinear buckling and post-buckling analysis of eccentrically stiffened functionally graded circular cylindrical shells under external pressure

Thin-Walled Structures ◽

10.1016/j.tws.2012.09.010 ◽

2013 ◽

Vol 63 ◽

pp. 117-124 ◽

Cited By ~ 59

Author(s):

Dao Van Dung ◽

Le Kha Hoa

Keyword(s):

Cylindrical Shells ◽

External Pressure ◽

Buckling Analysis ◽

Functionally Graded ◽

Nonlinear Buckling ◽

Post Buckling ◽

Circular Cylindrical Shells

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Nonlinear Torsional Buckling of Functionally Graded Carbon Nanotube Orthogonally Reinforced Composite Cylindrical Shells in Thermal Environment

International Journal of Applied Mechanics ◽

10.1142/s1758825120500726 ◽

2020 ◽

Vol 12 (07) ◽

pp. 2050072

Author(s):

Vu Hoai Nam ◽

Nguyen-Thoi Trung ◽

Nguyen Thi Phuong ◽

Vu Minh Duc ◽

Vu Tho Hung

Keyword(s):

Carbon Nanotube ◽

Thermal Environment ◽

Cylindrical Shells ◽

Equation System ◽

Functionally Graded ◽

Distribution Law ◽

Torsional Buckling ◽

Geometrical Properties ◽

Reinforced Composite ◽

Composite Cylindrical Shells

This paper deals with the nonlinear large deflection torsional buckling of functionally graded carbon nanotube (CNT) orthogonally reinforced composite cylindrical shells surrounded by Pasternak’s elastic foundations with the thermal effect. The shell is made by two layers where the polymeric matrix is reinforced by the CNTs in longitudinal and circumferential directions for outer and inner layers, respectively. The stability equation system is obtained by combining the Donnell’s shell theory, von Kármán nonlinearity terms, the circumferential condition in average sense and three-state solution form of deflection. The critical torsional buckling load, postbuckling load-deflection and the load-end shortening expressions are obtained by applying the Galerkin procedure. The effects of temperature change, foundation parameters, geometrical properties and CNT distribution law on the nonlinear behavior of cylindrical shell are numerically predicted. Especially, the effect of orthogonal reinforcement in comparison with longitudinal and circumferential reinforcement on the torsional buckling behavior of shells is observed.

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