Steel and Composite Structures

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Stability investigation of symmetrically porous advanced composites plates via a novel hyperbolic RPT

  • S.R. Mahmoud (GRC Department, Applied College, King Abdulaziz University) ;
  • E.I. Ghandourah (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • A.H. Algarni (Statistics Department, Faculty of Science, King Abdulaziz University) ;
  • M.A. Balubaid (Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University) ;
  • Abdeldjebbar Tounsi (Industrial Engineering and Sustainable Development Laboratory, University of Relizane, Faculty of Science & Technology, Mechanical Engineering Department) ;
  • Fouad Bourada (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
  • Received : 2022.04.25
  • Accepted : 2023.01.02
  • Published : 2023.02.25
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Abstract

This paper presents an analytical hyperbolic theory based on the refined shear deformation theory for mechanical stability analysis of the simply supported advanced composites plates (exponentially, sigmoidal and power-law graded) under triangular, trapezoidal and uniform uniaxial and biaxial loading. The developed model ensures the boundary condition of the zero transverse stresses at the top and bottom surfaces without using the correction factor as first order shear deformation theory. The mathematical formulation of displacement contains only four unknowns in which the transverse deflection is divided to shear and bending components. The current study includes the effect of the geometric imperfection of the material. The modeling of the micro-void presence in the structure is based on the both true and apparent density formulas in which the porosity will be dense in the mid-plane and zero in the upper and lower surfaces (free surface) according to a logarithmic function. The analytical solutions of the uniaxial and biaxial critical buckling load are determined by solving the differential equilibrium equations of the system with the help of the Navier's method. The correctness and the effectiveness of the proposed HyRPT is confirmed by comparing the results with those found in the open literature which shows the high performance of this model to predict the stability characteristics of the FG structures employed in various fields. Several parametric analyses are performed to extract the most influenced parameters on the mechanical stability of this type of advanced composites plates.

Keywords

Acknowledgement

This research work was funded by Institutional Fund Projects under grant no. (IFPHI-079-156-2020). Therefore, authors gratefully acknowledge technical and financial support from the Ministry of Education and King Abdulaziz University, Jeddah, Saudi Arabia

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