Dynamic Stresses and Displacements Around Cylindrical Discontinuities Due to Plane Harmonic Shear Waves

Abstract

The problem of dynamic stresses and displacements around a cavity and rigid inclusion of arbitrary density is examined for an elastic medium during the passage of a plane shear wave. In the cavity case, the dynamic stresses and displacements are found to be dependent upon the incident wave number and Poisson’s ratio of the medium. In the rigid-inclusion case it is found that dynamic stresses and the rigid-body rotation and translation are dependent upon the incident wave numbers, the Poisson’s ratio, and the density ratio of the medium and the insert. Close coupling is observed between the stresses and the rigid-body motion of the insert.