Steel and Composite Structures

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Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures

  • Malek Hadji (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Abdelhakim Bouhadra (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Belgacem Mamen (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Abderahmane Menasria (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Abdelmoumen Anis Bousahla (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) ;
  • Fouad Bourada (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Mohamed Bourada (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Kouider Halim Benrahou (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Abdelouahed Tounsi (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology)
  • Received : 2021.05.09
  • Accepted : 2022.12.06
  • Published : 2023.01.10
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Abstract

Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the Winkler-Pasternak foundation on the displacements, axial and shear stresses of the sandwich structure.

Keywords

References

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