On the Transient Motion of a Rigid Spherical Inclusion in an Elastic Medium and Its Inverse Problem

Abstract

This paper gives additional results in the transient response of a rigid spherical inclusion in an elastic medium due to a periodic disturbances. The locations of the poles in the admittance functions are examined for a wide range of density ratios and Poisson’s ratio of the medium. In addition, results are obtained on the inverse problem. It was shown that the incident pulse can be easily derived from the motion of the inclusion. In particular, when the densities of the inclusion and the medium are the same, the incident pulse is a function of the linear sum of motion, first and second derivatives of the motion of the inclusion.