On the wave propagation characteristics of functionally graded porous shells using high-order shear deformation theory

Abstract

This paper concentrates on the wave propagation characteristics of Functionally Graded (FG) porous shells. The transversal shear deformation of the shell is taken into consideration by employing a simple higher-ordered shear deformation shell theory. The equations of motion are derived for the proposed model based on Hamilton’s principle. An eigenvalue problem that relates the wave propagation elements is formulated and solved to present the various dispersion relations of FG cylindrical and spherical shells. The effects of porosities, shells’ geometrical parameters, FG material exponent, and wavenumbers on the principal wave propagation frequency and the associated phase velocity are investigated in detail. The research reveals that the phase velocities of waves traversing through shells are predominantly influenced by the porosity and the thickness and gradation of the constituent materials, whereas the geometric configuration of the shells, whether cylindrical or spherical, exerts a negligible impact.