Levy solution for bending analysis of functionally graded sandwich plates based on four variable plate theory

2017 ◽  
Vol 177 ◽  
pp. 80-95 ◽  
Author(s):  
Pinar Aydan Demirhan ◽  
Vedat Taskin
Keyword(s):  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Bending Analysis

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.

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

An analytical solution for bending, buckling and vibration responses of FGM sandwich plates

2017 ◽  
Vol 21 (2) ◽  
pp. 727-757 ◽  
Author(s):  
Rafik Meksi ◽  
Samir Benyoucef ◽  
Abdelkader Mahmoudi ◽  
Abdelouahed Tounsi ◽  
El Abbas Adda Bedia ◽  
...  
Keyword(s):  
Free Vibration ◽  
Transverse Shear ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Numerical Study ◽  
Functionally Graded ◽  
Solution Technique ◽  
Shear Stresses ◽  
Sandwich Plates ◽  
Vibration Responses

In this study, a new shear deformation plate theory is introduced to illustrate the bending, buckling and free vibration responses of functionally graded material sandwich plates. A new displacement field containing integrals is proposed which involves only four variables. Based on the suggested theory, the equations of motion are derived from Hamilton’s principle. This theory involves only four unknown functions and accounts for quasi-parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the sandwich plate. The Navier solution technique is adopted to derive analytical solutions for simply supported rectangular sandwich plates. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the critical buckling loads, deflections, stresses, natural frequencies and sandwich plate type on the bending, buckling and free vibration responses of functionally graded sandwich plates.

scholarly journals Free vibration and buckling of bidirectional functionally graded sandwich plates using an efficient Q9 element

2021 ◽  
Author(s):  
Le Cong Ich ◽  
Tran Quang Dung ◽  
Pham Vu Nam ◽  
Nguyen Dinh Kien
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Functionally Graded ◽  
Mindlin Plate ◽  
Sandwich Plates ◽  
Various Boundary Conditions ◽  
Fundamental Frequencies ◽  
Numerical Result ◽  
Three Phase ◽  
Graded Material

Free vibration and buckling of three-phase bidirectional functionally graded sandwich (BFGSW) plates are studied in this paper for the first time by using an efficient nine-node quadrilateral (Q9) element. The core of the sandwich plates is pure ceramic, while the two skin layers are of a three-phase bidirectional functionally graded material. The element is derived on the basis of the Mindlin plate theory and linked interpolations. Fundamental frequencies and buckling loads are computed for the plates with various boundary conditions. Numerical result shows that convergence of the linked interpolation element is faster compared to the conventional Lagrangian interpolation Q9 element. Numerical investigations are carried out to highlight the influence of the material gradation and the side-to-thickness ratio on the vibration and buckling behaviour of the plates.

Thermomechanical bending analysis of sandwich plates with both functionally graded face sheets and functionally graded core

2017 ◽  
Vol 169 ◽  
pp. 29-41 ◽  
Author(s):  
Dongdong Li ◽  
Zongbai Deng ◽  
Guoping Chen ◽  
Huaizhi Xiao ◽  
Lujia Zhu
Keyword(s):  
Functionally Graded ◽  
Sandwich Plates ◽  
Bending Analysis
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