An efficient model for wave propagation of temperature-dependent E-FGM plates resting on viscoelastic foundation

Abstract

The present work shows the plate's wave propagation behavior made of exponent-law-based functionally graded materials (E-FGM) supported by viscoelastic foundations. In extreme thermal environments, where the E-FGMs are considered highly effective, the temperature influences the composite plate's properties. Therefore, this present study aims to investigate the wave propagation of the E-FGM plates by considering the temperature-dependent effective properties as functions of the position across the thickness and the thermal increase. The governing equations of the E-FGM plate are obtained by employing a simple higher-order shear deformation theory (HSDT) and utilizing the Hamilton principle. An eigenvalue problem is formulated to determine the principal wave propagation frequency. The effects of viscoelastic parameters on E-FGM plates' phase velocities under uniform thermal changes are investigated in detail. The results indicate that introducing metal-ceramic mixtures in the plate would lower the phase velocity in the plate. Furthermore, increasing a uniform temperature in the plate would deteriorate the foundation and plates and, therefore, result in lower velocity and less stiffness.