Free vibration and buckling analysis of FGM plates using inverse trigonometric shear deformation theory

Sah, Supen Kumar; Ghosh, Anup

doi:10.1108/aeat-01-2020-0001

Cited by 5 publications

(4 citation statements)

References 29 publications

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“…In the present study, the edges of UDFGM sandwich plates are considered to be simply supported. The boundary conditions for simply supported UDFGM plates are expressed by Sah and Ghosh (2021a):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Daikh et al (2020) investigated the bending behaviour of temperature-dependent FGM plates functioning in thermo-mechanical load. Sah and Ghosh (2021a) employed ITSDT to investigate the structural responses of the FGM plates. Zarga et al (2019) utilized quasi-3D shear deformation theory to obtain the governing equations for the bending of FGM sandwich plates functioning in thermo-mechanical loading.…”

Section: Introductionmentioning

confidence: 99%

“…(2020) investigated the bending behaviour of temperature-dependent FGM plates functioning in thermo-mechanical load. Sah and Ghosh (2021a) employed ITSDT to investigate the structural responses of the FGM plates. Zarga et al .…”

Section: Introductionmentioning

confidence: 99%

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Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Sah,

Ghosh

2024

IJSI

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PurposeThe purpose of this study is to investigate the bending analysis of metal (Ti-6Al-4V)-ceramic (ZrO2) functionally graded material (FGM) sandwich plate with material property gradation along length and thickness direction under thermo-mechanical loading using inverse trigonometric shear deformation theory (ITSDT). FGM sandwich plate with a ceramic core and continuous variation of material properties has been modelled using Voigt’s micro-mechanical model following the power law distribution method. The impact of bi-directional gradation of material properties over the bending response of FGM plate under thermo-mechanical loading has been investigated in this work.Design/methodology/approachIn this study, gradation of material properties for FGM plates is considered along length and thickness directions using Voigt’s micromechanical model following the power law distribution method. This type of FGM is called bi-directional FGMs (BDFGM). Mechanical and thermal properties of BDFGM sandwich plates are considered temperature-dependent in the present study. ITSDT is a non-polynomial shear deformation theory which requires a smaller number of field variables for modelling of displacement function in comparison to poly-nominal shear deformation theories which lead to a reduction in the complexity of the problem. In the present study, ITSDT has been utilized to obtain the governing equations for thermo-mechanical bending of simply supported uni-directional FGM (UDFGM) and BDFGM sandwich plates. Analytical solution for bending analysis of rectangular UDFGM and BDFGM sandwich plates has been carried out using Hamilton’s principle.FindingsThe bending response of the BDFGM sandwich plate under thermo-mechanical loading has been analysed and discussed. The present study shows that centre deflection, normal stress and shear stress are significantly influenced by temperature-dependent material properties, bi-directional gradation exponents along length and thickness directions, geometrical parameters, sandwich plate layer thickness, etc. The present investigation also reveals that bi-directional FGM sandwich plates can be designed to obtain thermo-mechanical bending response with an appropriate selection of gradation exponents along length and thickness direction. Non-dimensional centre deflection of BDFGM sandwich plates decreases with increasing gradation exponents in length and thickness directions. However, the non-dimensional centre deflection of BDFGM sandwich plates increases with increasing temperature differences.Originality/valueFor the first time, the FGM sandwich plate with the bi-directional gradation of material properties has been considered to investigate the bending response under thermo-mechanical loading. In the literature, various polynomial shear deformation theories like first-order shear deformation theory (FSDT), third-order shear deformation theory (TSDT) and higher-order shear deformation theory (HSDT) have been utilized to obtain the governing equation for bending response under thermo-mechanical loading; however, non-polynomial shear deformation theory like ITSDT has been used for the first time to obtain the governing equation to investigate the bending response of BDFGM. The impact of bi-directional gradation and temperature-dependent material properties over centre deflection, normal stress and shear stress has been analysed and discussed.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Sah,

Ghosh

2024

IJSI

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“…and Ghosh A. 14 studied the Dynamic and stability analysis of Functionally Graded Material (FGM) plates with the finite element method in their research 14 . Parida S. and Mohanty S.C. 15 investigated the free vibration response of a functionally graded rotating plate within a thermal environment 15 .…”

Section: Literature Pertaining To Prior Workmentioning

confidence: 99%

Free Vibration Response of Functionally Graded Porous Metallic Plates Embedded with Piezoelectric Layers

Choudhary,

Ranjan Kumar,

Subodh Kumar

2023

jmmf

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The objective of this study is to determine the natural frequencies of Functionally Graded (FG) metallic plates comprising piezoelectric layers on both the top and bottom surfaces. The material characteristics of the FG plates are expected to exhibit a gradual variation along the thickness direction in accordance with a power-law model along with porosity. The governing equations are derived using the principle of virtual displacements, taking into account the first-order shear deformation plate theory. A commercial finite element programme in ANSYS Parametric Design Language (APDL) is developed to compute the natural frequency and mode shapes of functionally graded porous plates embedded with piezoelectric layers. The obtained natural frequencies results are used for different boundary condition to show their variations with respect to the constituent volume fractions, boundary condition, and piezoelectric thickness for the parameteric study. The present paper highlights some important characteristics of Functionally Graded Materials (FGM) plate embedded with piezoelectric layers that can be advantageous in the design of smart structures.

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Hygro-thermo-mechanical bending behavior of advanced functionally graded ceramic metal plate resting on a viscoelastic foundation

et al. 2021

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Free vibration and buckling analysis of FGM plates using inverse trigonometric shear deformation theory

Cited by 5 publications

References 29 publications

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Free Vibration Response of Functionally Graded Porous Metallic Plates Embedded with Piezoelectric Layers

Hygro-thermo-mechanical bending behavior of advanced functionally graded ceramic metal plate resting on a viscoelastic foundation

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