Longitudinal shear vibrations of composite poroelastic cylinders

Abstract

Employing Biot's theory of wave propagation in liquid saturated porous media, longitudinal shear vibrations of composite
poroelastic cylinders of infinite extent are investigated. The composite poroelastic cylinder is made of two different poroelastic
materials. The dilatations of liquid and solid media are zero, hence liquid pressure developed in solid-liquid aggregate is zero
and no distinction is seen between pervious and impervious surfaces. The non-dimensional frequency as a function of ratio of
thickness of casing to radius of the core is determined and computed, for two types of composite poroelastic cylinders and then displayed graphically. The displacements of composite poroelastic cylinders are given and then exhibited graphically. These results are discussed. The results of purely elastic solid are obtained as a special case.