WITHDRAWN: A new four variable refined plate theory for bending response of functionally graded sandwich plates under thermomechanical loading

2012 ◽  
Author(s):  
Ahmed Hamidi ◽  
Mohamed Zidi ◽  
Mohammed Sid Ahmed Houari ◽  
Abdelouahed Tounsi
Keyword(s):  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Thermomechanical Loading ◽  
Refined Plate Theory ◽  
Bending Response

Free vibration of functionally graded sandwich plates using four-variable refined plate theory

2011 ◽  
Vol 32 (7) ◽  
pp. 925-942 ◽  
Author(s):  
L. Hadji ◽  
H. A. Atmane ◽  
A. Tounsi ◽  
I. Mechab ◽  
E. A. Adda Bedia
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory

A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates

2011 ◽  
Vol 14 (1) ◽  
pp. 5-33 ◽  
Author(s):  
Mohamed Bourada ◽  
Abdelouahed Tounsi ◽  
Mohammed Sid Ahmed Houari ◽  
El Abbes Adda Bedia
Keyword(s):  
Plate Theory ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory

Elasticity Solution for Bending Response of Functionally Graded Sandwich Plates Under Thermomechanical Loading

2014 ◽  
Vol 37 (7) ◽  
pp. 852-869 ◽  
Author(s):  
Youcef Tlidji ◽  
Tahar Hassaine Daouadji ◽  
Lazreg Hadji ◽  
Abdelouahed Tounsi ◽  
El Abbas Adda Bedia
Keyword(s):  
Functionally Graded ◽  
Sandwich Plates ◽  
Elasticity Solution ◽  
Thermomechanical Loading ◽  
Bending Response

Two-Variable Refined Plate Theory for Thermoelastic Bending Analysis of Functionally Graded Sandwich Plates

2011 ◽  
Vol 34 (4) ◽  
pp. 315-334 ◽  
Author(s):  
Mohammed Sid Ahmed Houari ◽  
Samir Benyoucef ◽  
Ismail Mechab ◽  
Abdelouahed Tounsi ◽  
El Abbas Adda Bedia
Keyword(s):  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Plate Theory ◽  
Bending Analysis ◽  
Thermoelastic Bending

Elastic Foundation Analysis of Uniformly Loaded Functionally Graded Viscoelastic Sandwich Plates

2012 ◽  
Vol 28 (3) ◽  
pp. 439-452 ◽  
Author(s):  
A. M. Zenkour ◽  
M. Sobhy
Keyword(s):  
Power Law ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Equilibrium Equations ◽  
Graded Material ◽  
Plate Aspect Ratio ◽  
Type V ◽  
Power Law Index

AbstractThis paper deals with the static response of simply supported functionally graded material (FGM) viscoelastic sandwich plates subjected to transverse uniform loads. The FG sandwich plates are considered to be resting on Pasternak's elastic foundations. The sandwich plate is assumed to consist of a fully elastic core sandwiched by elastic-viscoelastic FGM layers. Material properties are graded according to a power-law variation from the interfaces to the faces of the plate. The equilibrium equations of the FG sandwich plate are given based on a trigonometric shear deformation plate theory. Using Illyushin's method, the governing equations of the viscoelastic sandwich plate can be solved. Parametric study on the bending analysis of FG sandwich plates is being investigated. These parameters include (i) power-law index, (ii) plate aspect ratio, (iii) side-to-thickness ratio, (iv) loading type, (v) foundation stiffnesses, and (vi) time parameter.

scholarly journals Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates

Coatings ◽  
2018 ◽  
Vol 8 (11) ◽  
pp. 389 ◽  
Author(s):  
Yanqing Wang ◽  
Zhiyuan Zhang
Keyword(s):  
Metal Foam ◽  
Plate Theory ◽  
Constitutive Relations ◽  
Equations Of Motion ◽  
Local Buckling ◽  
Functionally Graded ◽  
Small Scale ◽  
Refined Plate Theory ◽  
Nanoporous Metal ◽  
Non Local

In this study, the buckling of functionally graded (FG) nanoporous metal foam nanoplates is investigated by combining the refined plate theory with the non-local elasticity theory. The refined plate theory takes into account transverse shear strains which vary quadratically through the thickness without considering the shear correction factor. Based on Eringen’s non-local differential constitutive relations, the equations of motion are derived from Hamilton’s principle. The analytical solutions for the buckling of FG nanoporous metal foam nanoplates are obtained via Navier’s method. Moreover, the effects of porosity distributions, porosity coefficient, small scale parameter, axial compression ratio, mode number, aspect ratio and length-to-thickness ratio on the buckling loads are discussed. In order to verify the validity of present analysis, the analytical results have been compared with other previous studies.

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