Scattering of elastic waves by an elastic sphere |
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Authors: | D.L. Jain R.P. Kanwal |
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Affiliation: | Department of Mathematics, Delhi University, Delhi 110007, India;Department of Mathematics, Pennsylvania State University, University Park, PA 16802, U.S.A. |
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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, stess 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. |
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