Bending and free vibration analysis for FGM plates containing various distribution shape of porosity

Lazreg Hadji , Fabrice Bernard , Abdelkader Safa , Abdelouahed Tounsi

Abstract

In this paper hyperbolic shear deformation plate theory is presented for bending and the free vibration of functionally graded plates with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. Four different porosity types are used for functionally graded plates. Equations of motion are derived from Hamilton's principle. In the solution of the governing equations, the Navier procedure is implemented. In the numerical examples, the effects of the porosity parameters, porosity types and geometry parameters on the bending and free vibration of the functionally graded plates are investigated. It was found that the distribution form of porosity significantly influence the mechanical behavior of FG plates, in terms of deflection, normal, shear stress and frequency.

Key Words

bending; free vibration; functionally graded materials; porosity; Hamilton's principle

Address

(1) Lazreg Hadji — Department of Mechanical Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret (14000), Algeria
(2) Lazreg Hadji — Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria
(3) Fabrice Bernard — University of Rennes, INSA Rennes, Laboratory of Civil Engineering and Mechanical Engineering, France
(4) Abdelkader Safa — Department of Civil Engineering, Ahmed Zabana University Centre, Relizane, 48000, Algeria
(5) Abdelouahed Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
(6) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(7) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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