Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory

This research is devoted to investigating the thermal buckling analysis behaviour of laminated composite plates subjected to uniform and non-uniform temperature fields by applying an analytical model based on a refined plate theory (RPT) with five unknown independent variables. The theory accounts for the parabolic distribution of the transverse shear strains through the plate thickness and satisfies the zero-traction boundary condition on the surface without using shear correction factors; hence a shear correction factor is not required. The governing differential equations and associated boundary conditions are derived by using the virtual work principle and solved via Navier-type analytical procedure to obtain critical buckling temperature. Results are presented for: uniform and linear cross-ply lamination with symmetry and antisymmetric stacking, simply supported boundary condition, different aspect ratio (a/b), various orthogonality ratio (E1/E2), varying ratios of coefficient of uniform and linear thermal expansion (α2⁄α1), uniform and linearly varying temperature thickness ratio (a/h) and numbers of layers on thermal buckling of the laminated plate. It can be concluded that this theory gives good results compared to other theories.

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A new refined plate theory with isogeometric approach for the static and buckling analysis of functionally graded plates

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2019.105036 ◽

2019 ◽

Vol 161-162 ◽

pp. 105036 ◽

Cited By ~ 2

Author(s):

Zhenyu Liu ◽

Chuang Wang ◽

Guifang Duan ◽

Jianrong Tan

Keyword(s):

Plate Theory ◽

Buckling Analysis ◽

Functionally Graded ◽

Functionally Graded Plates ◽

Refined Plate Theory

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Levy solution for buckling analysis of functionally graded plates based on a refined plate theory

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406213478526 ◽

2013 ◽

Vol 227 (12) ◽

pp. 2649-2664 ◽

Cited By ~ 9

Author(s):

Huu-Tai Thai ◽

Brian Uy

Keyword(s):

Boundary Conditions ◽

Plate Theory ◽

Coupling Effect ◽

Shear Deformation Theory ◽

Buckling Analysis ◽

Functionally Graded ◽

Buckling Load ◽

Neutral Surface ◽

Functionally Graded Plates ◽

Refined Plate Theory

This article presents analytical solutions for buckling analysis of functionally graded plate based on a refined plate theory. Based on the refined shear deformation theory, the position of neutral surface is determined and the governing stability equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The closed-form solutions of buckling load are obtained for rectangular plates with various boundary conditions. The accuracy of neutral surface-based model is verified by comparing the obtained results with those reported in the literature. Finally, parameter studies are carried out to study the effects of power law index, thickness ratio, and aspect ratio on the critical buckling load of functionally graded plates.

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