Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories

Sihame Ait Yahia, Hassen Ait Atmane, Mohammed Sid Ahmed Houari and Abdelouahed Tounsi

Abstract

In this work, various higher-order shear deformation plate theories for wave propagation in functionally graded plates are developed. Due to porosities, possibly occurring inside functionally graded materials (FGMs) during fabrication, it is therefore necessary to consider the wave propagation in plates having porosities in this study. The developed refined plate theories have fewer number of unknowns and equations of motion than the first-order shear deformation theory, but accounts for the transverse shear deformation effects without requiring shear correction factors. The rule of mixture is modified to describe and approximate material properties of the functionally graded plates with porosity phases. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton

Key Words

wave propagation; functionally graded plate; porosity; higher-order plate theory

Address

Sihame Ait Yahia, Hassen Ait Atmane and Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Hassen Ait Atmane: University of Hassiba Ben Bouali, Chlef, Algeria Mohammed Sid Ahmed Houari: University of Mascara, Faculty of Science and Technology, Algeria Abdelouahed Tounsi, Mohammed Sid Ahmed Houari: Advanced Materials and Structures Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria

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