Effect of an Imperfect Interface on Elastic P-Wave Scattering by a Spherical Inclusion

Abstract

The wave function expansion method is utilized in the present study to investigate a spherical inclusion excited by an incident plane P-wave. The spherical obstacle is considered rigid while the exterior infinite medium is considered to be a homogenous, isotropic, elastic material. The imperfect interface is simulated by a spring type resistance model which can also accommodate the extreme cases of a perfect bond or a sliding interface. Results are presented for normalized rigid body displacements of the spherical inclusion and dynamic stress concentration factors. It is found that the effect of the flexibility of spring is more significant for reducing the dynamic stress concentration factor in tangential stress rather than in radial stress.