Coupled systems mechanics

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Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions

  • Aicha, Kablia (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Rabia, Benferhat (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Daouadji, Tahar Hassaine (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Bouzidene, Ahmed (Department of Mechanical Engineering, University of Tiaret)
  • Received : 2020.07.29
  • Accepted : 2020.12.03
  • Published : 2020.12.25
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Abstract

Equilibrium equations of a porous FG plate resting on Winkler-Pasternak foundations with various boundary conditions are derived using a new refined shear deformation theory. Different types of porosity distribution rate are considered. Governing equations are obtained including the plate-foundation interaction. This new model meets the nullity of the transverse shear stress at the upper and lower surfaces of the plate. The novel rule of mixture is proposed to describe and approximate material properties of the FG plates with different distribution case of porosity. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature. Effects of variation of porosity distribution rate, boundary conditions, foundation parameter, power law index, plate aspect ratio, side-to-thickness ratio on the deflections and stresses are all discussed.

Keywords

Acknowledgement

This research was supported by the Algerian Ministry of Higher Education and Scientific Research (MESRS) as part of the grant for the PRFU research project n°A01L02UN140120200002 and by the University of Tiaret, in Algeria.

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