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Thermodynamical Bending of FGM Sandwich Plates Resting on Pasternak's Elastic Foundations

Thermodynamical Bending of FGM Sandwich Plates Resting on Pasternak's Elastic Foundations
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Year:    2015

Author:    Mohammed Sobhy, Ashraf M. Zenkour

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 116–134

Abstract

The analysis of thermoelastic deformations of a simply supported functionally graded material (FGM) sandwich plates subjected to a time harmonic sinusoidal temperature field on the top surface and varying through-the-thickness is illustrated in this paper. The FGM sandwich plates are assumed to be made of three layers and resting on Pasternak's elastic foundations. The volume fractions of the constituents of the upper and lower layers and, hence, the effective material properties of them are assumed to vary in the thickness direction only whereas the core layer is still homogeneous. When in-plane sinusoidal variations of the displacements and the temperature that identically satisfy the boundary conditions at the edges, the governing equations of motion are solved analytically by using various shear deformation theories as well as the classical one. The influences of the time parameter, power law index, temperature exponent, top-to-bottom surface temperature ratio, side-to-thickness ratio and the foundation parameters on the dynamic bending are investigated.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2013.m143

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 116–134

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

Author Details

Mohammed Sobhy

Ashraf M. Zenkour

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