Wave propagation of FGM plate via new integral inverse cotangential shear model with temperature-dependent material properties

Mokhtar Ellali , Mokhtar Bouazza , Ashraf M. Zenkour

Abstract

The objective of this work is to study the wave propagation of an FGM plate via a new integral inverse shear model with temperature-dependent material properties. In this contribution, a new model based on a high-order theory field of displacement is included by introducing indeterminate integral variables and inverse co-tangential functions for the presentation of shear stress. The temperature-dependent properties of the FGM plate are assumed mixture of metal and ceramic, and its properties change by the power functions of the thickness of the plate. By applying Hamilton's principle, general formulas of wave propagation were obtained to plot the phase velocity curves and wave modes of the FGM plate with simply supported edges. The effects of the temperature and volume fraction by distributions on wave propagation of the FGM plate are investigated in detail. The results of the dispersion and the phase velocity curves of the propagation wave in the functionally graded plate are compared with previous research.

Key Words

FGM plate; new integral inverse shear model; temperature-dependent material properties; wave propagation

Address

Mokhtar Ellali — Smart Structures Laboratory, University of Ain Témouchent-Belhadj Bouchaib,46000,Algeria
Mokhtar Bouazza — Department of Civil Engineering, University Tahri Mohamed of Bechar, Bechar 08000, Algeria; Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 22000, Algeria
Ashraf M. Zenkour — Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

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