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Smart Structures and Systems
  Volume 18, Number 2, August 2016 , pages 267-291
DOI: https://doi.org/10.12989/sss.2016.18.2.267
 

Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions
Zohra Abdelhak, Lazreg Hadji, T. Hassaine Daouadji and E.A. Adda Bedia

 
Abstract
    In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) sandwich 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. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present refined theory. The non-linear governing equations are solved for plates subjected to simply supported and clamped boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.
 
Key Words
    functionally graded plates; refined theory; sandwich plate; clamped boundary conditions; thermal buckling
 
Address
Zohra Abdelhak: Université Ahmed Zabana, R Bourmadia, 48000 Relizane, Algérie;
Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie
Lazreg Hadji and T. Hassaine Daouadji: Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie;
Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie
E.A. Adda Bedia: Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie
 
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