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Journal ArticleDOI

Vibration of functionally graded cylindrical shells

TL;DR: In this article, a study on the vibration of cylindrical shells made of a functionally gradient material (FGM) composed of stainless steel and nickel is presented, the objective is to study the natural frequencies, the influence of constituent volume fractions and the effects of configurations of the constituent materials on the frequencies.
About: This article is published in International Journal of Mechanical Sciences.The article was published on 1999-03-01. It has received 726 citations till now. The article focuses on the topics: Rayleigh–Ritz method & Volume fraction.
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Journal ArticleDOI
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Abstract: This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture. The critical areas where further research is needed for a successful implementation of FGM in design are outlined in the conclusions. DOI: 10.1115/1.2777164

1,008 citations

Journal ArticleDOI
TL;DR: In this paper, a three-dimensional exact solution for free and forced vibrations of simply supported functionally graded rectangular plates is presented, where suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.

544 citations


Cites methods from "Vibration of functionally graded cy..."

  • ...[11] have studied the vibration of functionally graded cylindrical shells using Love’s shell theory....

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Journal ArticleDOI
TL;DR: In this article, the static response of a simply supported rectangular plate subjected to a transverse uniform load is presented for a simple supported functionally graded rectangular plate, where material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents.

508 citations


Cites methods from "Vibration of functionally graded cy..."

  • ...[6] have studied the vibration of functionally graded cylindrical shells using Love s shell theory....

    [...]

Journal ArticleDOI
TL;DR: In this paper, a refined trigonometric shear deformation theory (RTSDT) is presented for the thermoelastic bending analysis of functionally graded sandwich plates, where the displacement components are expressed by trigonometrical series representation through the plate thickness to develop a two-dimensional theory and gives rise to transverse shear stress variation.

403 citations

Journal ArticleDOI
TL;DR: In this paper, the authors used a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless local Petrov-Galerkin (MLPG) method to analyze static deformations and free and forced vibrations of a thick rectangular functionally graded elastic plate.
Abstract: Static deformations, and free and forced vibrations of a thick rectangular functionally graded elastic plate are analyzed by using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless local Petrov–Galerkin (MLPG) method. All components of the stress tensor are computed from equations of the plate theory. The plate material, made of two isotropic constituents, is assumed to be macroscopically isotropic with material properties varying in the thickness direction only. Effective material moduli are computed by using the Mori–Tanaka homogenization technique. Computed results for static and free vibration problems are found to agree well with their analytical solutions. The response of the plate to impulse loads is also computed for different volume fractions of the two constituents. Contributions of the work include the use of the HOSNDPT and the MLPG method for the analysis of functionally graded plates.

400 citations


Cites background from "Vibration of functionally graded cy..."

  • ...Several authors [8–12] have used either a first-order or a third-order shear deformation plate theory coupled with the finite element method (FEM) to analyze deformations of FG plates....

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