Static And Dynamic Analysis Of Functionally Graded Square And Rectangular Plates Subjected To Transverse Loading

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Nandhini B, Nalinaa K

Abstract

The objective of this paper is to study the static and dynamic behavior of square, rectangular plates made up of Functionally Graded Material (FGM) subjected to transverse loading by Classical Plate Theory (CPT) and First Order Shear Deformation Theory (FSDT).Simply supported square and rectangular FGM plates consisting of ceramic (Alumina) at the top layer and metal (Aluminium) at the bottom layer subjected to a uniform pressure and mid-point load on the top surface of the plates were considered. Assuming the Poisson’s ratios to be constant for ceramic and metal. However the Young’s moduli of ceramic and metals change continuously throughout the thickness direction according to the volume fraction of the constituents materials on the basis of powerlaw. The solutions of the square and rectangular FGM plates were obtained by expanding the transverse load in terms of Fourier series expansion and then the sinusoidal terms of the Fourier series were solved by Navier’s solution technique. Then, the solutions of the square and rectangular FGM plates obtained by CPT and FSDT were compared with the numerical results of finite element model which is developed using ANSYS Parametric Design Language (APDL). The parametric study includes the effect of volume fractions, aspect ratios, various thickness, support conditions, loading conditions on static and dynamic parameters. The static parameters considered were non-dimensional mid-plane displacements, non-dimensional stresses and strains where the dynamic parameter includes non-dimensional natural frequencies.

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