Transient Response of an Inhomogeneous Elastic Solid to an Impulsive SH-source : Variable SH-wave Velocity

抄録

Transient response of an inhomogeneous elastic solid to an impulsive SH-source is considered. Its inhomogeneity is such that μ=μ₀ (r/a)^λ ρ=ρ₀(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.