On wave propagation characteristics of hygrothermally excited graphene foam plates

Abstract

The current research studies the propagation of elastic waves in graphene foam (GF) plates in the hygrothermal environment within the framework of the refined higher-order shear deformation plate theory. Furthermore, three patterns are accounted for the distribution of pores through the plate thickness. The motion equations of GF plates are derived through Hamilton’s principle incorporated with the kinetic relations of refined higher-order shear deformation plate theory. Additionally, an analytical method that consists of an exponential function is used to solve the obtained governing equations of GF plates rested on an elastic medium. The impacts of different parameters, including wave number, porosity coefficient, various types of porosity distribution, various types of temperature and moisture change and aspect ratio on the variation of wave frequency, and phase velocity of GF plates, are investigated. The obtained results are illustrated in the framework of some figures and tables.