Wave propagation in inhomogeneous elastic media; normal loading of spherical and cylindrical surfaces

The propagation of waves in inhomogeneous elastic media with spherical or cylindrical symmetry, when the curved surface of the solid is given a uniform normal loading — the stress and displacement components within the solid then may be assumed to depend on one space coordinate and time alone —, is considered. The particular case in which the elastic parameters are proportional to (radius)ⁿ is considered as a special case.Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-31-124-ARO-D-462.