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Coupled Systems Mechanics
  Volume 9, Number 6, December 2020 , pages 499-519

Thermo-mechanical behavior of porous FG plate resting on the Winkler-Pasternak foundation
Benferhat Rabia, Hassaine Daouadji Tahar and Rabahi Abderezak

    The effect of porosity on the thermo-mechanical behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper using new refined hyperbolic shear deformation plate theory. Both even and uneven distribution of porosity are taken into account and the effective properties of FG plates with porosity are defined by theoretical formula with an additional term of porosity. The present formulation is based on a refined higher order shear deformation theory, which is based on four variables and it still accounts for parabolic distribution of the transverse shearing strains and stresses through the thickness of the FG plate and takes into account the various distribution shape of porosity. The elastic foundation is described by the Winkler-Pasternak model. A new modified power-law formulation is used to describe the material properties of FGM plates in the thickness direction. The closed form solutions are obtained by using Navier technique. The present results are verified in comparison with the published ones in the literature. The results show that the dimensionless and stresses are affected by the porosity volume fraction, constituent volume fraction, and thermal load.
Key Words
    FGM plate; porosity; thermo-mechanical behavior; Winkler-Pasternak foundations
Benferhat Rabia, Hassaine Daouadji Tahar and Rabahi Abderezak: Departement de Genie Civil, Universite Ibn Khaldoun Tiaret; BP 78 Zaaroura, Tiaret, Algerie; Laboratoire de Geomatique et Developpement Durable, Universite de Tiaret, Algerie

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