Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions

Gilhooley, D.F.; Batra, R.C.; Xiao, Jing; McCarthy, Michael A.; Gillespie, J. W.

doi:10.1016/j.compstruct.2006.07.007

Cited by 131 publications

(57 citation statements)

References 38 publications

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“…It can be seen that the obtained finite element solutions are close to those generated by Gilhooley et al (2007) using a quasi-3D theory, and those of Nguyen-Xuan et al (2012) and Lee et al (2009) using the FSDT. The effects of the boundary conditions, the power-law index and thickness ratio of layers on deflections, axial and shear stresses of Al/ZrO 2 sandwich plates with homogeneous hardcore are given in Tables 9-11 and the variation of nondimensional axial and transverse shear stresses through the thickness of (2-2-1) Al/ZrO 2 CCCC sandwich plates is plotted in Fig.…”

Section: Results For Bending Analysismentioning

confidence: 49%

“…The classical plate theory (CPT) (Feldman and Aboudi 1997, Javaheri and Eslami 2002, Mahdavian 2009, Mohammadi et al 2010, Chen et al 2006, Baferani et al 2011) yields acceptable results only for the thin plates, whereas accuracy of the first-order shear deformation theory (FSDT) (Mohammadi et al 2010, Croce and Venini 2004, Efraim and Eisenberger 2007, Zhao et al 2009a, b, Lee et al 2009, Hosseini-Hashemi et al 2011, Naderi and Saidi 2010, Nguyen-Xuan et al 2012, Thai and Choi 2013a) depends on the shear correction factor. Higherorder shear deformation theories with five unknown functions, which are included third-order shear deformation plate theory (TSDT), sinusoidal shear deformation plate theory (SSDT), hyperbolic shear deformable plate theory (HSDT), exponential shear deformation plate theory (ESDT), predict more accurate the response of moderate and thick FG plates (Reddy 2000, Zenkour 2006, Matsunaga 2008, Chen et al 2009, Pradyumna and Bandyopadhyay 2008, Gilhooley et al 2007, Talha and Singh 2010, Mantari and Soares 2012, 2013, Neves et al 2012a, b, Jha et al 2013, Thai and Kim 2013, Thai and Choi 2013b, Zenkour 2013. Some studies on response of FG sandwich plates have been carried out using higher-order shear deformation theories.…”

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 Analysismentioning

confidence: 49%

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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“…Gilhooley et al [8] and a modified 2D theory by Thai and Choi [9], shown in Table. 1. The present theory produces reasonable results and can be adopted for the analysis of functionally graded plates.…”

Section: Resultsmentioning

confidence: 99%

Finite Element Analysis of Functionally Graded Plates using Inverse Hyperbolic Shear Deformation Theory

Kulkarni¹,

Singh²,

Maiti³

2016

International Journal of Aerospace System Engineering

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Abstract:Functionally graded materials (FGMs) are becoming very popular in various industries due to their effectiveness of the utilization of their constituent elements. However, the modelling of these materials is difficult due to the complex nature of variation of material properties across the thickness. Many shear deformation theories have been developed and employed for the analysis of such functionally graded plates (FGPs). A recently developed inverse hyperbolic shear deformation theory has been successfully employed by Grover et al. [1] for the analysis of laminated composites and sandwich plates. The objective of the study is to obtain finite element solution for the structural analysis of functionally graded plates using inverse hyperbolic shear deformation theory. Finite element analysis facilitates the analysis of complex problems such as functionally graded plates with different boundary conditions and different loadings.

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“…Here, we assume that the FGM plate is made of an aluminum alloy (Al) for metal phase and zirconia (ZrO 2 ) for ceramic phase. The corresponding materials are respectively E m =70 GPa and ν m =0.3 for Al [8] , and E c =168.06 GPa and ν c =0.3 for ZrO [35] 2 . The volume fraction of ZrO 2 is given by the power law V 2 =(z/h) α , where α is the gradient index indicating the variation through the thickness.…”

Section: Effective Materials Propertiesmentioning

confidence: 99%

“…As extended applications, various two-dimensional (2D) plate theories have been used to investigate the static bending of functionally graded plates in the past years, such as the thin plate theory with Kirchhoff hypothesis [2] , the first-order shear deformation theory [3][4] , the thirdorder plate theories [5][6][7] , and the refined higher-order theories [8][9][10] . Due to the hypotheses and simplification concerning the deformation field along the thickness direction, the applicability of the 2D plate theories is always confined to the plates with lower thickness-to-length ratios.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional elasticity solutions for bending of generally supported thick functionally graded plates

张治成

张鹤

蒋吉清

2014

Appl. Math. Mech.-Engl. Ed.

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Three-dimensional elasticity solutions for static bending of thick functionally graded plates are presented using a hybrid semi-analytical approach-the state-space based differential quadrature method (SSDQM). The plate is generally supported at four edges for which the two-way differential quadrature method is used to solve the in-plane variations of the stress and displacement fields numerically. An approximate laminate model (ALM) is exploited to reduce the inhomogeneous plate into a multi-layered laminate, thus applying the state space method to solve analytically in the thickness direction. Both the convergence properties of SSDQM and ALM are examined. The SSDQM is validated by comparing the numerical results with the exact solutions reported in the literature. As an example, the Mori-Tanaka model is used to predict the effective bulk and shear moduli. Effects of gradient index and aspect ratios on the bending behavior of functionally graded thick plates are investigated.

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Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions

Cited by 131 publications

References 38 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

Finite Element Analysis of Functionally Graded Plates using Inverse Hyperbolic Shear Deformation Theory

Three-dimensional elasticity solutions for bending of generally supported thick functionally graded plates

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