Journal ArticleDOI
Buckling analysis of rectangular functionally graded plates under various edge conditions using Fourier series expansion
Reads0
Chats0
TLDR
In this paper, the buckling problem of thin rectangular functionally graded plates subjected to proportional biaxial compressive loadings with arbitrary edge supports is investigated, and a classical plate theory based on the physical neutral plane is applied to derive the stability equations.Abstract:
In this paper, the buckling problem of thin rectangular functionally graded plates subjected to proportional biaxial compressive loadings with arbitrary edge supports is investigated Classical plate theory (CPT) based on the physical neutral plane is applied to derive the stability equations Mechanical properties of the FGM plate are assumed to vary continuously along its thickness according to a power law function The displacement function is considered to be in the form of a double Fourier series whose derivatives are determined using Stokes' transformation The advantage of this method is capability of considering any possible combination of boundary conditions with no necessity to be satisfied in the Fourier series To give generality to the problem, the plate is assumed to be elastically restrained by means of rotational and translational springs at the four edges Numerical examples are presented, and the effects of the plate aspect ratio, the FGM power index, and the loading proportionality factor on the buckling load of an FGM plate with different usual boundary conditions are studied The present results are compared with those have been previously reported by other analytical and numerical methods, and very good agreement is seen between the findings indicating validity and accuracy of the proposed approach in the buckling analysis of FGM platesread more
Citations
More filters
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
Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions
TL;DR: In this paper, a 3D exact solution for the free vibrations of arbitrarily thick functionally graded rectangular plates with general boundary conditions is presented, where the displacement fields are constructed adequately smooth throughout the entire solution domain, an exact solution is obtained based on Rayleigh-Ritz procedure by the energy functions of the plate.
Journal ArticleDOI
On thermal stability of plates with functionally graded coefficient of thermal expansion
TL;DR: In this paper, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction.
Journal ArticleDOI
Size-dependent forced vibration of an imperfect functionally graded (FG) microplate with porosities subjected to a moving load using the modified couple stress theory
Mesut Şimşek,Mustafa Aydın +1 more
TL;DR: In this paper, the static bending and forced vibration of an imperfect FG microplate carrying a moving load are dealt with based on Mindlin plate theory (MPT) and the modified couple stress theory (MCST).
Journal ArticleDOI
Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis
TL;DR: In this paper, the authors present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade, and the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper.
References
More filters
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.
Journal ArticleDOI
FGM activities in Japan
TL;DR: The concept of functionally graded materials (FGMs) was proposed in 1984 by materials scientists in the Sendai area as a means of preparing thermal barrier materials as discussed by the authors, which results in gradients in such properties as mechanical strength and thermal conductivity.
Book
Thin Plates And Shells: Theory Analysis And Applications
TL;DR: In this paper, the authors introduce the theory of thin plates and thin shells, and apply it to the analysis of shell structures, including the moment theory of circular cylindrical shells.
Related Papers (5)
Mechanical behavior of functionally graded material plates under transverse load-part i: analysis
Shyang-Ho Chi,Yen-Ling Chung +1 more
A theoretical analysis of FGM thin plates based on physical neutral surface
Da-Guang Zhang,Youhe Zhou +1 more