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

S.R. Mahmoud, E.I. Ghandourah, A.H. Algarni, M.A. Balubaid, Abdelouahed Tounsi, Abdeldjebbar Tounsi and Fouad Bourada

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.

Key Words

hyperbolic theory; mechanical stability; advanced composites plates; porosity; Navier's method

Address

S.R. Mahmoud: GRC Department, Applied College, King Abdulaziz University, Jeddah, Saudi Arabia E.I. Ghandourah: Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia A.H. Algarni: Statistics Department, Faculty of Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia M.A. Balubaid: Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia Abdelouahed Tounsi: 1)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 3)Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria Abdeldjebbar Tounsi: Industrial Engineering and Sustainable Development Laboratory, University of Relizane, Faculty of Science & Technology, Mechanical Engineering Department, Algeria Fouad Bourada: 1)Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2) Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Algeria

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