A theoretical study of wave propagation of eccentrically stiffened FGM plate on Pasternak foundations based on higher-order shear deformation plate theory

Abstract

Abstract This article studies wave propagation of infinite eccentrically stiffened functionally graded plates on elastic foundations. Material properties are assumed to be temperature dependent, and varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of ceramic and metal. The plates are reinforced by stiffeners attached to their inside and outside, the material properties of plate and the stiffeners are assumed to be continuously graded in the thickness direction. Theoretical formulations based on the smeared stiffeners technique and the classical plate theory with higher-order shear deformation theory which accounts for through thickness shear flexibility is derived. The effects of various parameters and the effectiveness of stiffeners and elastic foundation on the wave propagation are shown. A detailed numerical study is carried out to bring out the effects of power-law index of functional graded material, stiffeners and geometry of the plate on the wave propagation of eccentrically stiffened functionally graded plate on Pasternak foundations.