Computers and Concrete

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A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis

  • Kaddari, Miloud (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Kaci, Abdelhakim (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bousahla, Abdelmoumen Anis (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bourada, Fouad (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Tounsi, Abdeldjebbar (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bedia, E.A. Adda (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) ;
  • Al-Osta, Mohammed A. (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals)
  • Received : 2019.11.20
  • Accepted : 2019.12.24
  • Published : 2020.01.25
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Abstract

This work investigates a new type of quasi-3D hyperbolic shear deformation theory is proposed in this study to discuss the statics and free vibration of functionally graded porous plates resting on elastic foundations. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. By including indeterminate integral variables, the number of unknowns and governing equations of the present theory is reduced, and therefore, it is easy to use. The present approach to plate theory takes into account both transverse shear and normal deformations and satisfies the boundary conditions of zero tensile stress on the plate surfaces. The equations of motion are derived from the Hamilton principle. Analytical solutions are obtained for a simply supported plate. Contrary to any other theory, the number of unknown functions involved in the displacement field is only five, as compared to six or more in the case of other shear and normal deformation theories. A comparison with the corresponding results is made to verify the accuracy and efficiency of the present theory. The influences of the porosity parameter, power-law index, aspect ratio, thickness ratio and the foundation parameters on bending and vibration of porous FG plate.

Keywords

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  11. New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments vol.2021, 2020, https://doi.org/10.1155/2021/6672370
  12. In-Line and Cross-Flow Coupling Vibration Response Characteristics of a Marine Viscoelastic Riser Subjected to Two-Phase Internal Flow vol.2021, 2020, https://doi.org/10.1155/2021/7866802
  13. On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation vol.2021, 2021, https://doi.org/10.1155/2021/1586388
  14. Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection vol.2021, 2020, https://doi.org/10.1155/2021/5519946
  15. Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments vol.2021, 2020, https://doi.org/10.1155/2021/5533920
  16. A Refined Model for Analysis of Beams on Two-Parameter Foundations by Iterative Method vol.2021, 2021, https://doi.org/10.1155/2021/5562212
  17. Thermal frequency analysis of FG sandwich structure under variable temperature loading vol.77, pp.1, 2020, https://doi.org/10.12989/sem.2021.77.1.057
  18. Size dependent vibration of embedded functionally graded nanoplate in hygrothermal environment by Rayleigh-Ritz method vol.10, pp.1, 2020, https://doi.org/10.12989/anr.2021.10.1.025
  19. On thermally induced instability of FG-CNTRC cylindrical panels vol.10, pp.1, 2021, https://doi.org/10.12989/anr.2021.10.1.043
  20. Numerical and experimental investigation for monitoring and prediction of performance in the soft actuator vol.77, pp.2, 2021, https://doi.org/10.12989/sem.2021.77.2.167
  21. Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity vol.77, pp.2, 2020, https://doi.org/10.12989/sem.2021.77.2.217
  22. Orthotropic magneto-thermoelastic solid with higher order dual-phase-lag model in frequency domain vol.77, pp.3, 2020, https://doi.org/10.12989/sem.2021.77.3.315
  23. Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.151
  24. Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.175
  25. Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity vol.10, pp.1, 2020, https://doi.org/10.12989/csm.2021.10.1.061
  26. Elastic wave phenomenon of nanobeams including thickness stretching effect vol.10, pp.3, 2020, https://doi.org/10.12989/anr.2021.10.3.271
  27. Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory vol.10, pp.3, 2020, https://doi.org/10.12989/anr.2021.10.3.281
  28. Dynamic response of functionally graded plates with a porous middle layer under time-dependent load vol.27, pp.3, 2021, https://doi.org/10.12989/cac.2021.27.3.269
  29. Exact third-order static and free vibration analyses of functionally graded porous curved beam vol.39, pp.1, 2021, https://doi.org/10.12989/scs.2021.39.1.001
  30. Electromagnetic field and initial stress on a porothermoelastic medium vol.78, pp.1, 2021, https://doi.org/10.12989/sem.2021.78.1.001
  31. Computer simulation for stability analysis of the viscoelastic annular plate with reinforced concrete face sheets vol.27, pp.4, 2020, https://doi.org/10.12989/cac.2021.27.4.369
  32. Stress analysis of a pre-stretched orthotropic plate with finite dimensions vol.45, pp.2, 2021, https://doi.org/10.1139/tcsme-2019-0241
  33. Temperature jump and concentration slip effects on bioconvection past a vertical porous plate in the existence of nanoparticles and gyrotactic microorganism with inclined MHD vol.11, pp.1, 2020, https://doi.org/10.12989/anr.2021.11.1.0127
  34. The effects of ring and fraction laws: Vibration of rotating isotropic cylindrical shell vol.11, pp.1, 2021, https://doi.org/10.12989/anr.2021.11.1.019
  35. Surface wave scattering analysis in an initially stressed stratified media vol.38, pp.8, 2020, https://doi.org/10.1108/ec-03-2020-0133
  36. Free vibration of multi-cracked beams vol.79, pp.4, 2020, https://doi.org/10.12989/sem.2021.79.4.441
  37. Compressive mechanical behavior and model of composite elastic-porous metal materials vol.8, pp.12, 2020, https://doi.org/10.1088/2053-1591/ac40b5
  38. Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates vol.279, 2020, https://doi.org/10.1016/j.compstruct.2021.114795