Retarded Potential Approach to the Scattering of Elastic Pulses by Rigid Obstacles of Arbitrary Shape
Retarded Potential Approach to the Scattering of Elastic Pulses by Rigid Obstacles of Arbitrary Shape
复制标题
任意形状刚性障碍物对弹性脉冲散射的延迟势法
DOI：
10.1121/1.1911171
复制
发表时间：
1968
影响因子：
2.4
通讯作者：
R. Shaw
中科院分区：
文献类型：
--
作者：
R. Shaw
本文用一个类似基尔霍夫方程的积分微分方程讨论了弹性脉冲在任意形状刚性障碍物上的散射。这种方法已被证明是有价值的治疗声散射问题，提出的扩展是相对简单的。这种方法的优点是，该问题可以完全制定的散射表面上的应力和应变的值，从而减少了一个空间维度的问题的顺序。如果需要，可以通过直接求积从表面值获得场值。作为该过程的一个例子，讨论了P阶波从无限刚性平面反射的简单问题。
The scattering of elastic pulses by rigid obstacles of arbitrary shape is discussed in terms of an integrodifferential equation similar to Kirchhoff's equation. This approach has proved valuable in the treatment of acoustic scattering problems and the extension proposed is relatively straightforward. The advantage of this approach is that the problem can be formulated completely in terms of values of stress and strain on the scattering surface only thereby reducing the order of the problem by one spatial dimension. Field values can be obtained from the surface values by a direct quadrature if required. The simple problem of a P‐step wave reflecting from an infinite rigid plane is discussed as an example of the procedure.