Structural Engineering and Mechanics

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Effect of porosity distribution on free vibration of functionally graded sandwich plate using the P-version of the finite element method

  • Hakim Bentrar (Laboratory of Computational Mechanics, Department of Mechanical Engineering, Faculty of Technology, University of Tlemcen) ;
  • Sidi Mohammed Chorfi (Laboratory of Computational Mechanics, Department of Mechanical Engineering, Faculty of Technology, University of Tlemcen) ;
  • Sid Ahmed Belalia (Laboratory of Computational Mechanics, Department of Mechanical Engineering, Faculty of Technology, University of Tlemcen) ;
  • Abdelouahed Tounsi (Center for Engineering Application & Technology Solutions, Ho Chi Minh City Open University) ;
  • Mofareh Hassan Ghazwani (Department of Mechanical Engineering, Faculty of Engineering, Jazan University) ;
  • Ali Alnujaie (Department of Mechanical Engineering, Faculty of Engineering, Jazan University)
  • Received : 2023.03.27
  • Accepted : 2023.11.29
  • Published : 2023.12.25
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Abstract

In this work, the free vibration analysis of functionally graded material (FGM) sandwich plates with porosity is conducted using the p-version of the finite element method (FEM), which is based on the first-order shear deformation theory (FSDT). The sandwich plate consists of two face-sheet layers of FGM and a homogeneous core layer. The obtained results are validated using convergence and comparison studies with previously published results. Five porosities distribution models of FGM sandwich plates are assumed and analyzed. The effect of the thickness ratio, boundary conditions, volume fraction exponents, and porosity coefficients of the top and bottom layers of FGM sandwich plates on the natural frequency are addressed.

Keywords

Acknowledgement

The Authors extend their appreciation to the Deputyship for Research& Innovation, Ministry of Education in Saudi Arabia for funding this research through the project number: ISP23-69.

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