Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects

Neves, A. M. A.; Ferreira, A.J.M.; Carrera, Erasmo; Cinefra, Maria; Jorge, R.M. Natal; Soares, Carlos A. Mota

doi:10.1016/j.advengsoft.2012.05.005

Cited by 99 publications

(37 citation statements)

References 51 publications

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“…The present results are compared with those predicted by different shear deformation theories (FSDT, TSDT, SSDT and quasi-3D). It can be seen that the obtained results agree well with those reported by Zenkour (2005aZenkour ( , 2013, Neves et al (2012c) and Bessaim et al (2013), except some values of transverse shear stress. The present analytical solutions are better predictions with quasi-3D ones, which included both transverse shear and normal deformations, than TSDT and SSDT ones.…”

Section: Results For Bending Analysissupporting

confidence: 82%

“…Sobhy (2013) examined the vibration and buckling behavior of exponential FG sandwich plates resting on elastic foundations under various boundary conditions. By using quasi-3D higher-order shear deformation theories, which the stretching and shear deformation effects are taken into account, Neves et al (2012c) and Zenkour (2013) investigated bending analysis, while Bessaim et al (2013) focused on both bending and free vibration of FG sandwich plates. A n-order shear deformation theory and a 3D linear theory of elasticity were proposed by Xiang et al (2011) and Li et al (2008) for free vibration of FG sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

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A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

Nguyen¹,

Thai²,

Vo³

2015

Steel Compos. Struct.

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Thuc (2015) A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates. Steel and Composite Structures, 18 (1 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.)A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates Abstract. A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates is presented in this paper. It contains only four unknowns, accounts for a hyperbolic distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion are derived from Hamilton's principle. The Navier-type and finite element solutions are derived for plate with simply-supported and various boundary conditions, respectively. Numerical examples are presented for functionally graded sandwich plates with homogeneous hardcore and softcore to verify the validity of the developed theory. It is observed that the present theory with four unknowns predicts the response accurately and efficiently.

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Section: Results For Bending Analysissupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

Nguyen¹,

Thai²,

Vo³

2015

Steel Compos. Struct.

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show abstract

“…Basing on a higher order shear deformation theory and a two-step perturbation technique, nonlinear dynamic and postbuckling responses of mid-plane symmetric FGM sandwich plates have been analyzed by Shen and Li [25] and Wang and Shen [26,27] including the effects of elastic foundations. Neves et al [28][29][30] used meshless methods based on some shear deformation plate theories to analyze the bending, free vibration and linear buckling behavior of isotropic and FGM sandwich plates. Also, Lurlaro et al [31] made use of a refined zigzag theory for bending and free vibration analysis of FGM sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Tung

2015

Composite Structures

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“…Neves [8][9][10] developed HSDT to predict the behavior of FG sandwich plates. Recently, Xiang et al [11] analyzed the free vibration of FG sandwich plates using a nth-order shear deformation theory and a meshless method, while Sobhy [12] investigated the buckling and free vibration of FG sandwich plates using various HSDTs.…”

Section: Introductionmentioning

confidence: 99%

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thai

Nguyen

et al. 2014

European Journal of Mechanics - A/Solids

226

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In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.

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Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects

Cited by 99 publications

References 51 publications

A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

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