A new higher-order shear and normal deformation theory for functionally graded sandwich beams

- Journal title : Steel and Composite Structures
- Volume 19, Issue 3, 2015, pp.521-546
- Publisher : Techno-Press
- DOI : 10.12989/scs.2015.19.3.521

Title & Authors

A new higher-order shear and normal deformation theory for functionally graded sandwich beams

Bennai, Riadh; Atmane, Hassen Ait; Tounsi, Abdelouahed;

Bennai, Riadh; Atmane, Hassen Ait; Tounsi, Abdelouahed;

Abstract

A new refined hyperbolic shear and normal deformation beam theory is developed to study the free vibration and buckling of functionally graded (FG) sandwich beams under various boundary conditions. The effects of transverse shear strains as well as the transverse normal strain are taken into account. Material properties of the sandwich beam faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. Equations of motion are derived from Hamilton`s principle. Analytical solutions for the bending, free vibration and buckling analyses are obtained for simply supported sandwich beams. Illustrative examples are given to show the effects of varying gradients, thickness stretching, boundary conditions, and thickness to length ratios on the bending, free vibration and buckling of functionally graded sandwich beams.

Keywords

functionally graded sandwich beam;refined shear deformation theory;stretching effect;

Language

English

Cited by

1.

Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation,;;;;

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A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates,;;;;

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A refined theory with stretching effect for the flexure analysis of laminated composite plates,;;;

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A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates,;;;;

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A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate,;;;

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A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium,;;;;

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Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations,;;

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A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates,;;;;

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A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation,;;;;

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Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept,;;;;

14.

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15.

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An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations,;;;;;;

17.

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18.

An analytical method for free vibration analysis of functionally graded sandwich beams,;;;;

19.

Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations,;;;;

20.

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21.

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