Effects of Transverse Shear and Normal Strains on Fg Plates Resting on Elastic Foundations Under Hygro-Thermo-Mechanical Loading

Zenkour, Ashraf M.; Allam, M. N. M.; Radwan, Ahmed F.

doi:10.1142/s175882511450063x

Cited by 29 publications

(9 citation statements)

References 28 publications

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“…Zidi et al [4] analyzed static responses of FG plates under hygro-thermo-mechanical loading using a four variable refined plate theory. Zenkour et al [5,6] investigated hygro-thermo-mechanical effects on behaviours of FG plates on elastic foundations. Fazzolari and Carrera [7] studied thermal stability of FG sandwich plates under various through-the-thickness temperature distributions.…”

Section: Introductionmentioning

confidence: 99%

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Nguyen

et al. 2017

Composite Structures

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.)Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams AbstractThe hygro-thermal effects on vibration and buckling analysis of functionally graded beams are presented in this paper. The present work is based on a higher-order shear deformation theory which accounts for a hyperbolic distribution of transverse shear stress and higher-order variation of in-plane and out-of-plane displacements. Equations of motion are obtained from Lagrange's equations. Ritz solution method is used to solve problems with different boundary conditions. Numerical results for natural frequencies and critical buckling temperatures of functionally graded beams are compared with those obtained from previous works. Effects of power-law index, span-to-depth ratio, transverse normal strain, temperature and moisture changes on the results are discussed.

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Section: Introductionmentioning

confidence: 99%

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Nguyen

et al. 2017

Composite Structures

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“…Zenkour and Alghamdi [29] studied the bending response of nonsymmetric FGM sandwich plates in the thermal environment. In the hygrothermal environment, the bending analysis of FGM plates resting on elastic foundations is investigated by Zenkour et al [30]. Also, Zenkour et al [31] discussed bending analysis of laminated composite plates resting on Winkler-Pasternak foundations in a hygrothermal environment.…”

Section: Introductionmentioning

confidence: 99%

Bending and buckling analysis of FGM plates resting on elastic foundations in hygrothermal environment

Zenkour

Radwan

2020

Archiv.Civ.Mech.Eng

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The present paper deals with the effect of exponential temperature and moisture concentration on the bending and buckling analysis of functionally graded plates resting on two-parameter elastic foundations via a four-variable exponential shear deformation theory. The mechanical properties of the plates are assumed to vary through the thickness. The equations of equilibrium are derived using Hamilton's principle. The present solutions are derived using Navier's method. Using Navier's solution the numerical results are presented and compared well with those available in the literature. Discussions are made to show how the foundation stiffness, hygrothermal loading and other parameters have a significant influence on the bending and buckling analysis of FG plates under hygrothermal and mechanical loading.

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“…Extensive studies about elastic or viscoelastic foundations can be found in the literature. [42][43][44][45][46][47][48][49][50][51] In this article, bending, buckling, and vibration behaviors of viscoelastic FG curved nanobeam embedded in an elastic medium are investigated based on nonlocal strain gradient theory. For the viscoelastic FG curved nanobeam, the material properties are graded in radial direction using two power-law forms.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal strain gradient theory for bending, buckling, and vibration of viscoelastic functionally graded curved nanobeam embedded in an elastic medium

Allam

Radwan

2019

Advances in Mechanical Engineering

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This article investigates bending, buckling, and vibration analysis in viscoelastic functionally graded curved nanobeam embedded in an elastic medium under different boundary conditions. The stresses can be calculated based on not only the nonlocal stress field but also the strain gradient stress field according to the nonlocal strain gradient elasticity theory. The present higher order refined curved nanobeam theory which captures shear deformation influence does not need any shear correction factors. Two power-law models are used to describe the continuous variation of material properties of viscoelastic functionally graded curved nanobeam. Governing equations of nonlocal strain gradient viscoelastic functionally graded curved nanobeam are obtained using Hamilton's principle. To establish the present model, the results are compared with those of functionally graded curved nanobeams. The effects of nonlocal parameter, length scale parameter, viscoelastic damping coefficient, spring stiffness, boundary conditions, and power-law exponent on the bending, buckling, and vibration responses of viscoelastic functionally graded curved nanobeam are discussed.

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Effects of Transverse Shear and Normal Strains on Fg Plates Resting on Elastic Foundations Under Hygro-Thermo-Mechanical Loading

Cited by 29 publications

References 28 publications

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Bending and buckling analysis of FGM plates resting on elastic foundations in hygrothermal environment

Nonlocal strain gradient theory for bending, buckling, and vibration of viscoelastic functionally graded curved nanobeam embedded in an elastic medium

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