
Abstract The problem of scattering of plane compressional wave by an elastic sphere embedded in an isotropic elastic medium of different material properties is solved. Approximate formulas are derived for the displacement field, stress tensor, stress intensity factors, far-field amplitudes and the scattering cross-section. It is assumed that the wave length is large compared to the radius of the scatterer. Various elastostatic limits are also presented.
Wave scattering in solid mechanics, scattering corss section, Waves in solid mechanics, embedded in isotropic elastic medium, scattering of plane compressional wave by elastic sphere, approximate formulas, far-field amplitudes, scattering of plane compressional wave by elastic sphere embedded in isotropic elastic medium, stress tensor, scattering cross-section, displacement field, different material properties, stress intensity factors, Stress concentrations, singularities in solid mechanics
Wave scattering in solid mechanics, scattering corss section, Waves in solid mechanics, embedded in isotropic elastic medium, scattering of plane compressional wave by elastic sphere, approximate formulas, far-field amplitudes, scattering of plane compressional wave by elastic sphere embedded in isotropic elastic medium, stress tensor, scattering cross-section, displacement field, different material properties, stress intensity factors, Stress concentrations, singularities in solid mechanics
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