Structural Engineering and Mechanics

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Investigation on thermal buckling of porous FG plate resting on elastic foundation via quasi 3D solution

  • Mekerbi, Mohamed (Deartment of Civil Engineering, University of Ferhat Abbas Setif 1) ;
  • Benyoucef, Samir (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Mahmoudi, Abdelkader (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Bourada, Fouad (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology)
  • Received : 2019.04.10
  • Accepted : 2019.06.12
  • Published : 2019.11.25
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Abstract

The present article deals with thermal buckling of functionally graded plates with porosity and resting on elastic foundation. The basic formulation is based on quasi 3D theory. The present theory contains only four unknowns and also accommodates the thickness stretching effect. Porosity-dependent material coefficients of the plate are compositionally graded throughout the thickness according to a modified micromechanical model. Different patterns of porosity distributions are considered. The thermal loads are assumed to be uniform, linear and non-linear temperature rises through the thickness direction. The plate is assumed to be simply supported on all edges. Various numerical examples are given to check the accuracy and reliability of the present solution, in which both the present results and those reported in the literature are provided. In addition, several numerous new results for thick FG plates with porosity are also presented.

Keywords

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