Static response and free vibration analysis of FGM plates using higher order shear deformation theory

Talha, Mohammad; Singh, B.N.

doi:10.1016/j.apm.2010.03.034

“…The comparison of the dimensionless fundamental frequencies of present results shows good agreement with analytical solutions of Thai H. T., & Kim S. E. [12] based on simple higher-order theory, and finite element results of Thai H. T., & Choi D.H. [9] based on four unknowns shear deformation theories. Example 2.…”

Section: Numerical Resultssupporting

confidence: 69%

“…The Reissner-type element formulation is based on parabolic transverse shear distribution over plate thickness using Lagrangian and Hermitian interpolation. Talha and Singh [9] studied free vibration and static behavior of functionally graded plates using higher order shear deformation theory. A continuous isoparametric Lagrangian finite element with 13 degrees of freedom per node is employed for the modeling of functionally graded plates.…”

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

Quoc

¹

,

Tú

²

,

Long³

2016

JST

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In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite element method. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. A four-node rectangular element with sixteen degrees of freedom per node is used. Poisson's ratios, Young's moduli and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power law functions. Results are verified with available results in the literature. Parametric studies are performed for different power law index, side-tothickness ratios.

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“…(19) and (22) into Eq. (15), the equations of motion can be expressed in terms of displacements (u 0 , v 0 , w 0 , θ x , θ y ) as follows:…”

Section: Equations Of Motionmentioning

confidence: 99%

A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

Nguyen

¹

,

Nguyen

²

,

Thai

³

et al. 2014

Composites Part B: Engineering

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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.)A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates theories is found to demonstrate the accuracy of the proposed theory.

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“…For example, Kant and Swaminathan [20] proposed a quasi-3D theory with all displacement components expanded as a cubic variation through the thickness. The theories presented by Chen et al [21], Talha and Singh [22], Reddy [23], and Neves et al [24] are based on a cubic variation of in-plane displacements and a quadratic variation of transverse displacement. Instead of using polynomial functions, Ferreira et al [25] employed the sinusoidal functions for all displacement components.…”

Section: Introductionmentioning

confidence: 99%

A quasi-3D hyperbolic shear deformation theory for functionally graded plates

Thai

¹

,

Vo

²

,

Bui

³

et al. 2013

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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.)

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Static response and free vibration analysis of FGM plates using higher order shear deformation theory

Cited by 334 publications

References 27 publications

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

A quasi-3D hyperbolic shear deformation theory for functionally graded plates

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