The problem of dynamic stress concentration in anti-plane motion of a single circular cavity in a serrated boundary strip medium is studied. Firstly, the scattering of SH wave by a circular cavity defect in the straight line boundary strip medium is analysed based on guided wave theory. The scattering of waves around a circular cavity is expressed as series form by the employed wave function expansion method, and compatible scattering guided waves resulting from the reflection of waves off the boundaries of the elastic strip is constructed by repeated image superposition. The coefficients of the wave function expansion are determined based on the stress free condition of circular boundaries with pre-given incident guided waves. Then the center of the cavity is respectively moved to the upper and lower boundaries to form a depression, and the scattering of the SH-wave by the cavity in the strip with the depression is analyzed. The results of finite element method and analytical method are used to verify each other. A number of depressions are set up at the boundary to simulate a serrated boundary. Then the finite element method is used to analyze the SH wave scattering problem in the serrated boundary strip.

研究了锯齿状边界带状介质中单个圆形空腔反平面运动时的动应力集中问题。首先，基于导​​波理论分析了直线边界条状介质中圆形空腔缺陷对SH波的散射。利用波函数展开法将波围绕圆形腔的散射表示为级数形式，通过重复图像叠加构造波在弹性条边界处反射产生的相容散射导波。波函数展开系数是根据预先给定的入射导波的圆形边界的无应力条件确定的。然后型腔中心分别移动到上下边界形成凹陷，分析了凹陷带中空腔对SH波的散射。有限元法和解析法的结果相互验证。在边界处设置了许多凹陷，以模拟锯齿状边界。然后利用有限元方法分析了锯齿状边界带中的SH波散射问题。