Abstract
The importance of spherical sources in the study of generation and propagation of waves in elastic media is well known [Jeffreys 1) ]. To make the situation more realistic, the randomness of generation has to be taken into account. In this connection, Ramakrishnan's theory 2) on stochastic integral representation based on a deterministic solution makes it possible to incorporate the randomness into the picture. In this paper, two cases of excitation have been treated. The random pulses give rise to stochastic integrals for the displacement and stresses from which the mean of the displacement and stresses and the mean square value of displacement from the auto-correlation function, have been calculated. The expectation for displacement in the two cases and the mean square displacement in one case, have been numerically evaluated.
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