Two new refined shear displacement models for functionally graded sandwich plates |
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Authors: | Slimane Merdaci Abdelouahed Tounsi Mohammed Sid Ahmed Houari Ismail Mechab Habib Hebali Samir Benyoucef |
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Institution: | (1) Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia;(2) Present address: Department of Mathematics, Faculty of Education, Kafr El-Sheikh University, Kafr El-Sheikh, 33516, Egypt;(3) Department of Mathematics, College of Girl’s Education, Holy Makkah, 3653, Saudi Arabia |
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Abstract: | Two refined displacement models, RSDT1 and RSDT2, are developed for a bending analysis of functionally graded sandwich plates.
Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation
theories. The developed models are variationally consistent, have strong similarity with classical plate theory in many aspects,
do not require shear correction factor, and give rise to transverse shear stress variation such that the transverse shear
stresses vary parabolically across the thickness satisfying shear stress-free surface conditions. The accuracy of the analysis
presented is demonstrated by comparing the results with solutions derived from other higher-order models. The functionally
graded layers are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus
of elasticity, Poisson’s ratio of the faces, and thermal expansion coefficients are assumed to vary according to a power-law
distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic
ceramic material. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated.
It can be concluded that the proposed models are accurate and simple in solving the bending behavior of functionally graded
plates. |
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