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Steel and Composite Structures
  Volume 21, Number 1, May20 2016 , pages 123-136
DOI: https://doi.org/10.12989/scs.2016.21.1.123
 


Static analysis of the FGM plate with porosities
R. Benferhat, T. Hassaine Daouadji, L. Hadji and M. Said Mansour

 
Abstract
    This work focuses on the behavior of the static analysis of functionally graded plates materials (FGMs) with porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose a new refined plate theory is used in this work, it contains only four unknowns, unlike five unknowns for other theories. This new model meets the nullity of the transverse shear stress at the upper and lower surfaces of the plate. The parabolic distribution of transverse shear stresses along the thickness of the plate is taken into account in this analysis; the material properties of the FGM plate vary a power law distribution in terms of volume fraction of the constituents. The rule of mixture is modified to describe and approximate material properties of the FG plates with porosity phases. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature, the influence of material parameter, the volume fraction of porosity and the thickness ratio on the behavior mechanical P-FGM plate are represented by numerical examples.
 
Key Words
    functionally graded material; higher-order theory; refined theory; volume fraction of porosity
 
Address
(1) R. Benferhat, M. Said Mansour:
Laboratoire de Géomateriaux, Departement de Génie Civil, Université Hassiba Benbouali de Chlef, Algérie;
(2) T. Hassaine Daouadji, L. Hadji:
Département de Génie Civil, Université Ibn Khaldoun de Tiaret, Algérie;
(3) T. Hassaine Daouadji, L. Hadji:
Laboratoire des Matériaux & Hydrologie, Université Djillali Liabès de Sidi Bel Abbes, Algérie.
 

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