A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates

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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Thermal buckling analysis of functionally graded sandwich plates

Journal of Thermal Stresses ◽

10.1080/01495739.2017.1393644 ◽

2017 ◽

Vol 41 (2) ◽

pp. 139-159 ◽

Cited By ~ 13

Author(s):

Ahmed Amine Daikh ◽

Abdelkader Megueni

Keyword(s):

Thermal Buckling ◽

Buckling Analysis ◽

Functionally Graded ◽

Sandwich Plates

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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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Nonlinear Static and Dynamic Thermal Buckling Analysis of Spiral Stiffened Functionally Graded Cylindrical Shells with Elastic Foundation

International Journal of Applied Mechanics ◽

10.1142/s1758825119500054 ◽

2019 ◽

Vol 11 (01) ◽

pp. 1950005 ◽

Cited By ~ 11

Author(s):

Alireza Shaterzadeh ◽

Kamran Foroutan ◽

Habib Ahmadi

Keyword(s):

Elastic Foundation ◽

Plate Theory ◽

Cylindrical Shells ◽

Thermal Buckling ◽

Buckling Analysis ◽

Functionally Graded ◽

Thickness Direction ◽

Classical Plate Theory ◽

Linear Temperature ◽

Nonlinear Static

In this paper, an analytical method is used to study the nonlinear static and dynamic thermal buckling analysis of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells. The SSFG cylindrical shell is surrounded by a linear and nonlinear elastic foundation. The proposed linear model is based on the two-parameter elastic foundation (Winkler and Pasternak). A three-parameter elastic foundation with hardening/softening cubic nonlinearity is used for nonlinear model. The material properties are temperature dependent and assumed to be continuously graded in the thickness direction. Also, for thermal buckling analysis, the uniform and linear temperature distribution in thickness direction is considered. The SSFG cylindrical shells are considered with various angles for spiral stiffeners. The strain–displacement relations are obtained based on the von Kármán nonlinear equations and the classical plate theory of shells. The smeared stiffener technique and the Galerkin method are applied to solve the nonlinear problem. In order to find the nonlinear dynamic thermal buckling responses, the fourth-order Runge–Kutta method is used. To validate the results, comparisons are made with those available in literature and good agreements are shown. The effects of various geometrical and material parameters are investigated on the nonlinear static and dynamic thermal buckling response of SSFG cylindrical shells.

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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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