Abstract
The scattering of elastic waves from an infinite right circular elastic cylinder of arbitrary radius embedded in an infinitely extended elastic medium is investigated. The cylindrical scatterer and the exterior medium are isotropic, homogeneous, and linearly elastic, but of arbitrarily differing material parameters, with compressional and shear waves supported in both media. Exact expressions for scattered stress and displacement fields caused by an incident plane compressional or shear wave of unit amplitude are derived analytically by algebraic inversion of the boundary condition equations. Special cases of vanishing shear moduli are shown to return known acoustic solutions, and limiting cases of rigid and cavity cylindrical scatterers in an elastic medium are found to be contained within the general results.
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