Post-buckling analysis of functionally graded rectangular plates

Wu, Tsung-Lin; Shukla, K. K.; Huang, Jin H.

doi:10.1016/j.compstruct.2005.08.026

Cited by 106 publications

(38 citation statements)

References 20 publications

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“…They found that nonlinear analyses based on the classical plate theory and first-order deformation theory give very close results for displacements, but different stress distributions near the boundaries of FG plates. Nonlinear behavior, buckling, and postbuckling of moderately thick plates under thermal and mechanical loads were studied by Wu [22], Prakash et al [23,24], Wu et al [25], Shen [26,27], Park and Kim [28], Audogdy [29], and Nosier and Fallah [30]. Santos et al [31] proposed a semi-analytical finite-element model for linear analysis of cylindrical shells.…”

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confidence: 99%

Application of triangular element invariants for geometrically nonlinear analysis of functionally graded shells

Levyakov¹,

Kuznetsov²

2011

Comput Mech

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This paper is an attempt to construct a computationally effective curved triangular finite element for geometrically nonlinear analysis of elastic shear deformable shells fabricated from functionally graded materials. The focus is on the concise finite-element formulation under the demand of accuracy-simplicity trade-off. To this end, a nonconventional approach based on the invariants of the natural strains of fibers parallel to the element edges is used. The approach allows one to obtain algorithmic formulas for computing the stiffness matrix, gradient, and Hessian of the total strain energy of the finite element. Transverse shear deformation effects are taken into account using the first order shear deformation theory with the shear correction factor dependent on the material property distribution across the shell thickness. The performance of the proposed finite element is demonstrated using problems of functionally graded plates and shells under mechanical and thermal loads.

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confidence: 99%

Application of triangular element invariants for geometrically nonlinear analysis of functionally graded shells

Levyakov¹,

Kuznetsov²

2011

Comput Mech

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“…Because it is difficult to extract a trigonometric function alone to represent a deflected shape, a combined trigonometric and polynomial function was employed [29]. …”

Section: Geometry Of the Problemmentioning

confidence: 99%

Stability Analysis of Cube Tanks’ Ceiling and Floor Plates Composed of FGMs when Subjected to Uniform Compression Perpendicular to the Mid-Plane

Abdolvahab¹

2017

MOJCE

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In recent years, a number of studies examined the application of composite cylindrical or cubic plates made of FGMs. FGMs are microscopically inhomogeneous materials in which both mechanical and thermal properties vary smoothly and continuously from one surface to the other, depending on the thickness of the material. This can be achieved by gradually changing the volume composition of constituent materials. Material properties vary according to a power law throughout the plate thickness. In this study, the displacement experienced by FGM cube tanks' ceiling and floor plates subjected to uniform compression perpendicular to the mid-plane was independent of the loading parameter and the plates' aspect ratios. Displacement was also the only function of the material gradient index. To obtain stability analysis of FGM plates, the Galerkin method was used to find the maximum displacement of FGM ceiling or floor plates of the cube tanks. The edges of the rectangular plates were fully simply supported. The accuracy of the proposed model was validated by comparing the results obtained in this study with prior results. Results obtained in this study showed that the Galerkin method reliably calculated the maximum displacement of the FGM plates.

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“…Developments of new materials such as functionally graded materials (FGMs), however, have necessitated more research in this area. It is observed from the literature that studies involving stability (in terms of buckling) characteristics of FGM plates subjected to thermal [3-25, 46, 47, 52], mechanical loading [26][27][28][29][30][31][32][33][34][35], or combinations of [20,[36][37][38][39][40][41][42] based on deterministic analysis have received greater attention [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

“…The same remark is observed in. [6,[11][12][13][14][28][29][30][31][32][33][34][35] The values of the critical temperature differences calculated by using the four variable refined plate theory are lower than those calculated by using the classical plate theory. In conclusion, the transverse shear deformation has some effect on the buckling temperature difference.…”

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confidence: 99%

Thermal stability analysis of functionally graded plates using simple refined plate theory

Bouazza¹,

Boucheta²,

Becheri³

et al. 2017

Int. J. Automot. Mech. Eng.

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The present paper investigates the thermal stability analysis of functionally graded material plates subjected to three types of thermal loadings, namely; uniform temperature rise, linear temperature rise and non-linear temperature rise through the thickness, using a novel simple refined theory. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Material properties are varied continuously in the thickness direction according to a simple power law distribution. A buckling analysis of a functionally graded plate under there types of thermal loads is carried out and results in closed-form solutions thermal stability analysis of functionally graded plates using simple refined plate theory. The influence of various factors such as gradient index, temperature loads, thickness and aspect ratios are carefully studied. The results are verified with the known data in the literature. This theory is seen to behave well, and the results of the sample problem show good agreement with the literature values as seen from the validation checks.

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Post-buckling analysis of functionally graded rectangular plates

Cited by 106 publications

References 20 publications

Application of triangular element invariants for geometrically nonlinear analysis of functionally graded shells

Application of triangular element invariants for geometrically nonlinear analysis of functionally graded shells

Stability Analysis of Cube Tanks’ Ceiling and Floor Plates Composed of FGMs when Subjected to Uniform Compression Perpendicular to the Mid-Plane

Thermal stability analysis of functionally graded plates using simple refined plate theory

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