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References (29)
-
K. Pradhan, S. Chakraverty (2015)
Transverse vibration of isotropic thick rectangular plates based on new inverse trigonometric shear deformation theoriesInternational Journal of Mechanical Sciences, 94
-
A. Neves, A. Ferreira, E. Carrera, M. Cinefra, C. Roque, R. Jorge, C. Soares (2012)
A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded platesComposites Part B-engineering, 43
-
A. Attia, A. Tounsi, E. Bedia, S. Mahmoud (2015)
Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theoriesSteel and Composite Structures, 18
-
H. Thai, Seung-Eock Kim (2013)
A simple quasi-3D sinusoidal shear deformation theory for functionally graded platesComposite Structures, 99
-
M. Talha, B. Singh (2010)
Static response and free vibration analysis of FGM plates using higher order shear deformation theoryApplied Mathematical Modelling, 34
-
Mohammed Houari, A. Tounsi, Aicha Bessaim, S. Mahmoud (2016)
A new simple three-unknown sinusoidal shear deformation theory for functionally graded platesSteel and Composite Structures, 22
-
A. Osofero, T. Vo, Trung‐Kien Nguyen, Jaehong Lee (2016)
Analytical solution for vibration and buckling of functionally graded sandwich beams using various quasi-3D theoriesJournal of Sandwich Structures & Materials, 18
-
Rasheedat Mahamood, E. Akinlabi (2017)
Types of Functionally Graded Materials and Their Areas of Application -
N. Meiche, A. Tounsi, N. Ziane, I. Mechab, E. Bedia (2011)
A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plateInternational Journal of Mechanical Sciences, 53
-
S. Vel, R. Batra (2004)
Three-dimensional exact solution for the vibration of functionally graded rectangular platesJournal of Sound and Vibration, 272
-
A. Neves, A. Ferreira, E. Carrera, M. Cinefra, R. Jorge, C. Soares (2012)
Buckling analysis of sandwich plates with functionally graded skins using a new quasi‐3D hyperbolic sine shear deformation theory and collocation with radial basis functionsZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 92
-
S. Hosseini-Hashemi, M. Fadaee, S. Atashipour (2011)
A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular platesInternational Journal of Mechanical Sciences, 53
-
S. Abrate (2006)
Free vibration, buckling, and static deflections of functionally graded platesComposites Science and Technology, 66
-
B. Uymaz, M. Aydogdu (2007)
Three-Dimensional Vibration Analyses of Functionally Graded Plates under Various Boundary ConditionsJournal of Reinforced Plastics and Composites, 26
-
J. Mantari, J. Monge (2016)
Buckling, free vibration and bending analysis of functionally graded sandwich plates based on an optimized hyperbolic unified formulationInternational Journal of Mechanical Sciences, 119
-
S. Abrate (2008)
FUNCTIONALLY GRADED PLATES BEHAVE LIKE HOMOGENEOUS PLATESComposites Part B-engineering, 39
-
L. Tran, A. Ferreira, H. Nguyen-Xuan (2013)
Isogeometric analysis of functionally graded plates using higher-order shear deformation theoryComposites Part B-engineering, 51
-
S. Hosseini-Hashemi, H. Taher, H. Akhavan, M. Omidi (2010)
Free vibration of functionally graded rectangular plates using first-order shear deformation plate theoryApplied Mathematical Modelling, 34
-
N. Grover, B. Singh, D. Maiti (2016)
An inverse trigonometric shear deformation theory for supersonic flutter characteristics of multilayered composite platesAerospace Science and Technology, 52
-
K. Kulkarni, B. Singh, D. Maiti (2015)
Analytical solution for bending and buckling analysis of functionally graded plates using inverse trigonometric shear deformation theoryComposite Structures, 134
-
H. Thai, D. Choi (2012)
An efficient and simple refined theory for buckling analysis of functionally graded platesApplied Mathematical Modelling, 36
-
H. Thai, T. Vo (2013)
A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded platesApplied Mathematical Modelling, 37
-
A. Ferreira, R. Batra, C. Roque, L. Qian, R. Jorge (2006)
Natural frequencies of functionally graded plates by a meshless methodComposite Structures, 75
-
E. Feldman, J. Aboudi (1997)
Buckling analysis of functionally graded plates subjected to uniaxial loadingComposite Structures, 38
-
L.S. Ma, T. Wang (2004)
Buckling of Functionally Graded Circular/Annular Plates Based on the First-Order Shear Deformation Plate TheoryKey Engineering Materials, 261-263
-
Mamia Benchohra, Hafida Driz, Ahmed Bakora, A. Tounsi, E. Bedia, S. Mahmoud (2018)
A new quasi-3D sinusoidal shear deformation theoryfor functionally graded platesStructural Engineering and Mechanics, 65
-
V. Nguyen, Trung‐Kien Nguyen, H. Thai, T. Vo (2014)
A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich platesComposites Part B-engineering, 66
-
H. Thai, T. Vo, T. Bui, Trung‐Kien Nguyen (2014)
A quasi-3D hyperbolic shear deformation theory for functionally graded platesActa Mechanica, 225
-
N. Valizadeh, S. Natarajan, O. González-Estrada, T. Rabczuk, T. Bui, S. Bordas (2012)
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutterComposite Structures, 99
- Publisher
- Emerald Publishing
- Copyright
- © Emerald Publishing Limited
- ISSN
- 1748-8842
- eISSN
- 1748-8842
- DOI
- 10.1108/aeat-01-2020-0001
- Publisher site
- See Article on Publisher Site
Abstract
The purpose of this paper is to carry out free vibration and buckling analysis of functionally graded material (FGM) plate.Design/methodology/approachEquilibrium and stability equations of FGM rectangular plate under different boundary conditions are derived using finite element method-based inverse trigonometric shear deformation theory (ITSDT). Eight-noded rectangular plate element with seven degrees of freedom at each node is used for the present analysis. The power-law distribution method has been considered for the continuously graded variation in composition of the ceramic and metal phases across the thickness of a functionally graded plate.FindingsThe finite element formulation incorporated with ITSDT and provisions of the constitutive model of FGM plate has been implemented in a numerical code to obtain the natural frequency and critical buckling load under uniaxial and biaxial compressive load. The influence of material gradation, volume fraction index, span to thickness ratio and boundary constraints over free vibration and buckling response has been studied.Originality/valueDevelopment and validation of finite element methodology using ITSDT to predict the structural response of the FGM plates under different loading, geometric and boundary conditions.
Journal
Aircraft Engineering and Aerospace Technology: An International Journal – Emerald Publishing
Published: Apr 5, 2021
Keywords: Vibration; Power-law distribution; Critical buckling; Functionally graded material (FGM) plate; Inverse trigonometric shear deformation theory (ITSDT)