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

Published online by Cambridge University Press:  09 January 2015

Mohammed Sobhy  and
Ashraf M. Zenkour
Mohammed Sobhy
Affiliation:
Department of Mathematics, Faculty of Science, King Faisal University, P.O. Box 400, Hufof 31982, Saudi Arabia Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
Ashraf M. Zenkour*
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
*
*Email:zenkour@kau.edu.sa or zenkour@sci.kfs.edu.eg(A. M. Zenkour)
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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.

Keywords

74XXFGM sandwich platesdynamic bendingelastic foundationsthermal load
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 1 , February 2015 , pp. 116 - 134
Copyright
Copyright © Global Science Press Limited 2015 

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