Scattering of shear waves by an elastic sphere embedded in an infinite elastic solid

✍ Scribed by Y. Iwashimizu

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 207 KB
• Volume: 40
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)80247-1

✦ Synopsis

Scattering of a plane harmonic wave by an elastic sphere is considered with a view to obtaining the correct formula for the scattering cross-section in the Rayleigh limit. The displacement in the matrix due to the scattered wave, and that in the sphere due to the excited wave are, respectively, described by the three scalar wave functions, and the algebraic equations to determine the expansion coefficients of these functions are constructed. These are solved formally, and, then, it is confirmed that the wave field in the matrix coincides with that for a movable rigid sphere in the limiting case when the shear modulus of the elastic sphere, ~, is infinitely large. Finally the scattering cross-section for an elastic sphere is given in the Rayleigh limit. As confirmed above, this coincides with the scattering crosssection for a movable rigid sphere in the limit ~ ~ ~, and it is quite different from the one previously given by N. G. Einspruch et al., which diverges in that limit.