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On the disturbance due to a spherical distortional pulse in an elastic medium
Authors:Sarva Jit Singh  Martin Rosenman
Institution:(1) Department of Earth and Planetary Sciences, Massachusetts Institute of Technology, 02139 Cambridge, Massachusetts;(2) Present address: Department of Mathematics, Kurukshetra University, Kurukshetra, India;(3) Hoffman Laboratory, Harvard University, 02138 Cambridge, Massachusetts
Abstract:Summary Theoretical expressions are derived for the displacement, velocity and stress in the time domain induced by an axially symmetric shearing stress applied at the inner surface of a spherical cavity in a hornogeneous, isotropic, elastic medium of infinite extent. Theoretical seismograms are computed for a step source and for three sources with exponential decay in time. A satisfactory time-dependence of the source can be obtained by combining the step source with one or more exponentially decaying sources.
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