An elastic half-space containing a suddenly-loaded spherical cavity is considered. The motion of the half-space, representing waves from the cavity to the surface of the half-space and back again to its interior including the associated Rayleigh waves, is obtained. The solution for the case of a linearly-expanding cavity due to a high explosive charge is also presented, including the case of a half-space of limited strength. These cases exhibit higher values for displacements and stresses as compared with the corresponding nonexpanding case. The applicability of the method of solution to other problems of interest is mentioned.

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