Thermal Buckling Response of Functionally Graded Plates with Clamped Boundary Conditions

In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) plates with clamped boundary condition subjected to uniform, linear, and non-linear temperature rises across the thickness direction is developed. Unlike any other theory, the numb...

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Published inJournal of thermal stresses Vol. 38; no. 6; pp. 630 - 650
Main Authors Bouhadra, Abdelhakim, Benyoucef, Samir, Tounsi, Abdelouahed, Bernard, Fabrice, Bouiadjra, Rabbab Bachir, Sid Ahmed Houari, Mohammed
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 03.06.2015
Taylor & Francis Ltd
Taylor & Francis
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Summary:In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) plates with clamped boundary condition subjected to uniform, linear, and non-linear temperature rises across the thickness direction is developed. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. The material properties of FGM plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The governing equations are solved analytically for a plate with simply supported boundary conditions. Resulting equations are employed to obtain the closed-form solution for the thermal force resultant for each loading case. Numerical examples covering the effects of the plate aspect ratio, side-to-thickness ratio and gradient index on thermal force resultant are discussed.
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ISSN:0149-5739
1521-074X
DOI:10.1080/01495739.2015.1015900