Abstract
This paper illustrates the effectiveness of two functionally graded (FG) layers on a homogenous circular plate for bending analysis. The classical plate theory (CPT) serves as the basis of the analysis. Differential quadrature method (DQM) as semi-analytical method is employed to solve the governing equations. The material properties is varied to obey power-law in terms of the plate thickness direction. The plate is subjected to uniform transverse loading and resting on Winkler elastic foundation. In this study, the effect of the different profile of the plate thickness, elastic foundation coefficient, the volume fraction FG index, and effect of the boundary conditions, namely, simply supported and clamped edge on static response are demonstrated. The results are compared with finite element method and published literature that observed to be in accordance with each other.
Highlights
In the modern industrial societies, materials play an essential role; for instance, advanced composite materials offer numerous superior properties to metallic materials, such as high specific strength and high specific stiffness that its consequence is the extensive use of laminated composite materials
Graded Materials (FGMs) are advanced engineered materials whereby material composition and properties vary spatially in macroscopic length scales that are fabricated by the specialized manufacturing process [1]
Functionally Graded Materials (FGMs) possess a continuous variation of material properties in one or more directions and are typically made from a mixture of ceramics and metals with the variation of the volume fraction according to a power law through thickness [2,3]
Summary
In the modern industrial societies, materials play an essential role; for instance, advanced composite materials offer numerous superior properties to metallic materials, such as high specific strength and high specific stiffness that its consequence is the extensive use of laminated composite materials. Xiang and Yang [24] presented the free and forced vibration of a laminated functionally graded Timoshenko beam of variable thickness, which consists of a homogeneous substrate and two inhomogeneous functionally graded layers They employed differential quadrature method by using of Lagrange interpolation polynomials as a numerical solution tool to solve the governing differential equations. Vivio and Vullo [27] studied axisymmetric bending of circular plates with variable thickness, subjected to symmetrical loading They proposed a new analytical method to determine elastic stresses and deformations on the basis of the two independent integrals of the hypergeometric differential equation. The present work is the first attempt to study the bending behavior of the three-layer FGM sandwich circular plate of varying thickness resting on the Winkler elastic foundation under uniform distributed transverse loading. The numerical results of three-layer FGM sandwich circular plate with supported and clamped boundary conditions are obtained with the computer programming using MAPLE and MATLAB, as well as the simulating in ABAQUS software for comparison of the results
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