Journal ArticleDOI
Free vibration analysis of functionally graded plates using the element-free kp-Ritz method
X. Zhao,Yiu-Yin Lee,K.M. Liew +2 more
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TLDR
A free vibration analysis of metal and ceramic functionally graded plates that uses the element-free kp-Ritz method is presented in this paper, where the material properties of the plates are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents.About:
This article is published in Journal of Sound and Vibration.The article was published on 2009-01-23. It has received 334 citations till now. The article focuses on the topics: Ritz method & Plate theory.read more
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A review of theories for the modeling and analysis of functionally graded plates and shells
Huu-Tai Thai,Seung-Eock Kim +1 more
TL;DR: A comprehensive review of various theories for the modeling and analysis of functionally graded plates and shells is presented in this paper, where a thorough review of the literature related to the development of three-dimensional elasticity solutions and a unified formulation is also presented.
Journal ArticleDOI
A review of meshless methods for laminated and functionally graded plates and shells
TL;DR: A review of meshless methods for composite structures is given in this paper, with main emphasis on the element-free Galerkin method and reproducing kernel particle method, including static and dynamic analysis, free vibration, buckling and nonlinear analysis.
Journal ArticleDOI
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review
K. Swaminathan,D.T. Naveenkumar,Ashraf M. Zenkour,Ashraf M. Zenkour,Erasmo Carrera,Erasmo Carrera +5 more
TL;DR: In this article, a comprehensive review of the various methods employed to study the static, dynamic and stability behavior of Functionally Graded Material (FGM) plates is presented with an emphasis to present stress, vibration and buckling characteristics of FGM plates predicted using different theories.
Journal ArticleDOI
Static response and free vibration analysis of FGM plates using higher order shear deformation theory
Mohammad Talha,Bhrigu Nath Singh +1 more
TL;DR: In this article, the free vibration and static analysis of functionally graded material (FGM) plates are studied using higher order shear deformation theory with a special modification in the transverse displacement in conjunction with finite element models.
Journal ArticleDOI
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter
N. Valizadeh,Sundararajan Natarajan,Octavio Andrés González-Estrada,Timon Rabczuk,Tinh Quoc Bui,Stéphane Bordas +5 more
TL;DR: In this article, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates.
References
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Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Journal ArticleDOI
Reproducing kernel particle methods
TL;DR: A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed and is called the reproducingkernel particle method (RKPM).
Journal ArticleDOI
A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
Satya N. Atluri,T. Zhu +1 more
TL;DR: In this article, a local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy.
Journal ArticleDOI
Analysis of functionally graded plates
TL;DR: In this paper, Navier's solutions of rectangular plates, and finite element models based on the third-order shear deformation plate theory are presented for the analysis of through-thickness functionally graded plates.
Book
Mechanics of laminated composite plates : theory and analysis
TL;DR: In this paper, the authors present a one-dimensional analysis of fiber-reinforced composite materials and their properties, including the properties of the components of a Lamina and their relationship with other components.
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