Scattering of shear waves by an elastic sphere embedded in an infinite elastic solid
Scattering of shear waves by an elastic sphere embedded in an infinite elastic solid
复制标题
嵌入无限弹性固体中的弹性球体对剪切波的散射
DOI：
10.1016/s0022-460x(75)80247-1
复制
发表时间：
1975
影响因子：
4.7
通讯作者：
Y. Iwashimizu
中科院分区：
文献类型：
--
作者：
Y. Iwashimizu
本文研究弹性球对平面谐波的散射问题，以期得到瑞利极限下散射截面的正确公式。用三个标量波函数分别描述了散射波在基体中的位移和激发波在球体中的位移，并构造了确定这些标量波函数展开系数的代数方程。对这些方程进行了形式求解，并证实了当弹性球的剪切模量μ π无穷大时，在极限情况下，矩阵中的波场与可动刚性球的波场是一致的。最后给出了瑞利极限下弹性球的散射截面。如上所述，这与可移动刚性球在极限μ π →∞下的散射截面一致，并且与NG Eruch等人先前给出的散射截面大不相同，在这个极限上是发散的
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 Rayleight 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, μ˜, 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 μ˜→∞, and it is quite different from the one previously given by NG Einspruch et al., which diverges in that limit.