Three-dimensional elasticity analysis of sandwich panels with functionally graded transversely isotropic core

Woodward, B.; Kashtalyan, Maria

doi:10.1007/s00419-019-01589-y

Cited by 9 publications

(3 citation statements)

References 35 publications

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“…By employing the Hamilton principle in its analytical form, the three governing equations are developed as follows, Esmaeilzadeh and Kadkhodayan [37]; Mamen [30]: (13) In which 𝑡 1 and 𝑡 2 are the initial and end times, respectively.…”

Section: Governing Equations Of Motionmentioning

confidence: 99%

“…After their innovation in the late 90s, researchers carried out various investigations to assess the thermomechanical and dynamic behaviors of FGMs plates using different analytical methods [10][11][12][13][14]. Thai et al [2] confirmed that the FSDT is also accurate in investigating the free vibration analysis of FGM plates composed of functionally graded face sheets and an isotropic homogeneous core with variable thickness.…”

Section: Introductionmentioning

confidence: 99%

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Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Mamen,

Bouhadra,

Bourada

et al. 2024

Scientia Iranica

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This paper presents the nonlinear thermodynamic results of functionally graded plates lying on Winkler/Pasternak and Kerr foundation through an analytical formulation. The field displacement is defined by only four unknowns, including an indeterminate integral and a new shape function representing the transverse shear stresses. Material properties of the FG plates are temperature-dependent and graded according to a simple power-law distribution. Also, the thermodynamic equations of motion are deduced based on Hamilton's principle.The exactitude of the present theory results is verified with those obtained by various researchers. The effects of temperature-dependence material properties, power-law index, nonlinear temperature rising, elastic foundation parameters, aspect, and slenderness ratio are discussed. The results show that the increase in elastic foundation parameters would enhance the thermodynamic response of the FG plates. Nevertheless, the degree of improvement would be related to the nonlinear temperature change. Moreover, the plate's configuration effect is more significant when the nonlinear temperature difference is high.

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Section: Governing Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Mamen,

Bouhadra,

Bourada

et al. 2024

Scientia Iranica

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“…The exact solution is given on a twoparameter basis by the displacement potential functions of a simply supported rectangular plate with constant yet arbitrary thickness. The assumptions of variance of Young's moduli (E) and shear moduli (G) [20] through the plates' thickness of plate has been examined. The strategy utilises displacement-based potential functions for transversely isotropic plates and 3-D elasticity solutions established.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Thick Isotropic and Transversely Isotropic Plates in Bending using FE Based New Inverse Shear Deformation Theory

Bhaskar¹,

Thakur²,

Sayyad³

et al. 2021

IJAME

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In this work, using new inverse trigonometric kinematic displacement function, the bending solution of simply supported isotropic and transversely isotopic thin, moderately thin and thick square plates with aspect ratio variations is given. The paper introduces a new inverse trigonometric shear deformation theory (nITSDT) for the bi-directional bending study, which is variationally compatible. The transverse shear stress can be obtained directly from the constitutive relationships on the top and bottom surfaces of the plate that satisfy the shear stress free surface conditions, so the theory does not need a factor for shear correction. The dynamic version of the virtual work principle is used to obtain the governing equations and boundary conditions of the theory. The Finite Element (FE) solution has been developed using MATLAB code based on the present theory for simply supported laminated composite plates. In order to illustrate the efficiency of the proposed theory, the results of displacements and stresses are compared with those of other refined theories and exact solution. The findings obtained from the use of the theory are found to agree well with the precise results of elasticity.

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Fundamental frequency analysis of functionally graded plates with temperature-dependent properties based on improved exponential-trigonometric two-dimensional higher shear deformation theory

et al. 2020

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Three-dimensional elasticity analysis of sandwich panels with functionally graded transversely isotropic core

Cited by 9 publications

References 35 publications

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Numerical Analysis of Thick Isotropic and Transversely Isotropic Plates in Bending using FE Based New Inverse Shear Deformation Theory

Fundamental frequency analysis of functionally graded plates with temperature-dependent properties based on improved exponential-trigonometric two-dimensional higher shear deformation theory

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