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

Hakim Bentrar, Sidi Mohammed Chorfi, Sid Ahmed Belalia, Abdelouahed Tounsi, Mofareh Hassan Ghazwani and Ali Alnujaie

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.

Key Words

FGM sandwich plate; free vibration analysis; p-finite element method; porosities distribution

Address

Hakim Bentrar, Sidi Mohammed Chorfi, Sid Ahmed Belalia: Laboratory of Computational Mechanics, Department of Mechanical Engineering, Faculty of Technology, University of Tlemcen, Algeria Abdelouahed Tounsi: Center for Engineering Application & Technology Solutions, Ho Chi Minh City Open University, Ho Chi Minh, VietNam; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261, Dhahran, Eastem Province, Saudi Arabia; Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon Mofareh Hassan Ghazwani, Ali Alnujaie: 5Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia

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