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Steel and Composite Structures
  Volume 39, Number 6, June25 2021 , pages 795-809

Large deflection analysis of functionally graded saturated porous rectangular plates on nonlinear elastic foundation via GDQM
Khaled Alhaifi, Ehsan Arshid and Ahmad Reza Khorshidvand

    In the current study, large deflection analysis of a functionally graded saturated porous (FGSP) rectangular plate subjected to transverse loading which is located on a nonlinear three-parameter elastic foundation is provided. The constitutive law for the porous materials is written based on Biot's model which considers the effect of fluids within the pores. The mechanical properties of the plate are changed through its thickness according to different functions which are called porosity distributions. The shear deformation effects are taken into account, accordingly, the first-order shear deformation theory (FSDT) is used to describe the displacement components of the plate. Employing the Minimum total potential energy principle and calculus of variation, the governing equations, and associated boundary conditions are extracted. A generalized differential quadrature method (GDQM) is used to solve them for various boundary conditions. The results for the simpler state are validated with the previously published works and then the effects of different parameters on the deflection of the plate are investigated. It is seen increasing the porosity and Skempton coefficient, enhances and reduces the deflection of the structure, respectively. The results of this study may help to design and manufacture more reliable engineering structures that are exposed to loads.
Key Words
    porous materials; nonlinear bending analysis; nonlinear elastic foundation; FSDT; GDQM
Khaled Alhaifi: Department of Automotive and Marine Engineering, College of Technological Studies-PAAET, El-Shuwaikh, Kuwait
Ehsan Arshid : Department of Mechanical Engineering, Qom Branch, Islamic Azad University, Qom, Iran;
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Ahmad Reza Khorshidvand: Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

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