An exponential-trigonometric quasi-3D HSDT for wave propagation in an exponentially graded plate with microstructural defects

This work aims to investigate the wave propagation in an exponential-law-based functionally graded (FG) plate with micro-structural defects using a simple exponential-trigonometric quasi-3D HSDT that employs four variables only. In this study, the elastic properties varied across the plate's thickness using a function of volume fraction in the form of exponential power-law. Hamilton's principle is utilized to obtain the governing differential equations, and the analytical solution is processed using the Navier approach. A parametric investigation has been developed to explore the impacts of material exponent, porosity distribution, and plate thickness on the wave propagation of the exponentially graded material (EGM) varying plate. The results showed that the phase velocity in the plate decreases with increasing the percentage of porosity volume of the plate for a specific material power exponent. In contrast, the FG plate's porosity does not affect the primary frequency.