Journal ArticleDOI
Axisymmetric bending of two-directional functionally graded circular and annular plates
Guojun Nie,Zheng Zhong +1 more
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In this article, the axisymmetric bending of two-directional functionally graded circular and annular plates is studied using the semi-analytical numerical method, assuming the material properties varying with an exponential law both in the thickness and radial directions.About:
This article is published in Acta Mechanica Solida Sinica.The article was published on 2007-12-01. It has received 63 citations till now. The article focuses on the topics: Functionally graded material & Bending.read more
Citations
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An exact solution for thermal buckling of annular FGM plates on an elastic medium
Yaser Kiani,Mohammad Reza Eslami +1 more
TL;DR: In this article, the buckling of heated functionally graded material (FGM) annular plates on an elastic foundation is studied analytically, and the equilibrium equations of an annular-shaped plate are obtained based on the classical plate theory.
Journal ArticleDOI
On the numerical modelling and analysis of multi-directional functionally graded composite structures: A review
TL;DR: In this paper, an exhaustive review on modelling and analysis of multi-directional graded (beam/plate/shell) structures is presented, with an effort made to include research studies reported on multidirectional functionally graded beam, plate and shell structures with an emphasis on work published since 2000.
Journal ArticleDOI
Three-dimensional vibration analysis of thick functionally graded conical, cylindrical shell and annular plate structures with arbitrary elastic restraints
Zhu Su,Guoyong Jin,Tiangui Ye +2 more
TL;DR: In this article, a three-dimensional vibration analysis of conical, cylindrical shells and annular plate structures with arbitrary elastic restraints is presented, and the exact solution is obtained by means of variational principle in conjunction with modified Fourier series which is composed of a standard Fourierseries and some auxiliary functions.
Journal ArticleDOI
Dynamic characteristics analysis of bi-directional functionally graded Timoshenko beams
TL;DR: In this article, the motion differential equations of the bi-directional functionally graded Timoshenko beam are established using Hamilton's principle using variable substitution method, and the influence of gradient parameters α, β on the fundamental frequency, mode shape and frequency response function is analyzed through the establishment of the dynamic stiffness matrix of the overall structure.
Journal ArticleDOI
Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations
A. Behravan Rad,M. Shariyat +1 more
TL;DR: In this paper, a complicated and general problem of a functionally graded porous variable thickness circular plate subjected to non-axisymmetric and non-uniform shear and normal tractions and a magnetic actuation, and supported by a nonuniform Kerr elastic foundation is analyzed.
References
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Journal ArticleDOI
Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more
TL;DR: The differential quadrature method (DQM) as discussed by the authors is a numerical solution technique for initial and/or boundary problems, which was developed by the late Richard Bellman and his associates in the early 70s.
Journal ArticleDOI
Axisymmetric bending of functionally graded circular and annular plates
TL;DR: In this article, the authors studied axisymmetric bending and stretching of annular circular plates using the first-order shear deformation Mindlin plate theory and provided the solutions for deflections, force and moment resultants in terms of the corresponding quantities of isotropic plates based on the classical Kirchhoff plate theory.
Journal ArticleDOI
Reduction of thermal stresses by developing two-dimensional functionally graded materials
TL;DR: In this paper, a two-dimensional functionally graded materials, 2D-FGM, is introduced to withstand super high temperatures and to give more reduction in thermal stresses than the conventional FGM.
Journal ArticleDOI
Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate
Zheng Zhong,E.T. Shang +1 more
TL;DR: In this paper, an exact three-dimensional analysis for a functionally gradient piezoelectric material rectangular plate that is simply supported and grounded along its four edges is presented, assuming that the mechanical and electric properties of the material have the same exponent-law dependence on the thickness coordinate.
Journal ArticleDOI
Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
TL;DR: The third-order shear deformation plate theory (TPT) is employed to solve the axisymmetric bending and buckling problems of functionally graded circular plates.
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Dynamic analysis of multi-directional functionally graded annular plates
Guojun Nie,Zheng Zhong +1 more