Abstract
The first terms of the asymptotic expansion of the time-harmonic Green's function for an infinite pre-stressed elastic medium have been obtained. The Green's function represents the vector displacement field generated by a time-harmonic source of finite extent. The complete displacement field due to the source is represented in terms of Fourier integrals that are evaluated asymptotically and yield explicit expressions for the displacement at points far from the source. The major feature of the asymptotic displacement field is the directional dependence or the geometric decay of the displacement amplitudes.
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