Transient Response of an Inhomogeneous Elastic Solid to an Impulsive SH-source : Variable SH-wave Velocity
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Transient response of an inhomogeneous elastic solid to an impulsive SH-source is considered. Its inhomogeneity is such that μ=μ_0 (r/a)^λ ρ=ρ_0(r/a)^<λ-2> Due to this inhomogeneity, SH-wave velocity vanishes at a coordinate origin and the wave rotates around the origin as if it were a diffracted wave. Deducing a summation formula of a Fourier series of Schlomilch type, the response is given by a finite sum of waves rotated around the origin. It is found that an increase of inhomogeneity parameter |λ| causes rapid fluctuation in the response.
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