RADIAL VIBRATIONS OF A GRAVITATING SPHERE WITH A MATERIAL BOUNDARY

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Abstract
Radial oscillations of a uniform gravitating sphere with a material boundary are treated within linearly elastic theory. Attention is drawn to the suitability of modelling the terrestrial crust as a material boundary in respect of oscillations of the whole Earth. The crust is shown to have an effect comparable with that of gravitation and inhomogeneity in determining periods of radial vibrations, residual stress in the crust (of thermal and gravitational origin) playing an insignificant role. The selection of an appropriate elasticity tensor in the presence of residual stress is discussed in an Appendix.

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