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Coupled Systems Mechanics
  Volume 9, Number 6, December 2020 , pages 575-597
DOI: https://doi.org/10.12989/csm.2020.9.6.575
 

Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions
Kablia Aicha, Benferhat Rabia, Tahar Hassaine Daouadji and Ahmed Bouzidene

 
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.
 
Key Words
    functionally graded materials; refined plate theory; various boundary conditions; imperfect plates; effect of porosity distribution rate
 
Address
Kablia Aicha: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria; Department of Mechanical Engineering, University of Tiaret, Algeria
Benferhat Rabia: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria; Department of Civil Engineering, University of Tiaret, Algeria
Tahar Hassaine Daouadji: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria; Department of Civil Engineering, University of Tiaret, Algeria
Ahmed Bouzidene: Department of Mechanical Engineering, University of Tiaret, Algeria
 

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