圆形区域内圆孔对SH波的散射

SCATTERING OF CIRCULAR CAVITY IN CIRCULAR DOMAIN TO SH WAVES

圆形截面区域内圆孔对弹性波的散射问题是无损探伤等应用领域内的主要研究对象之一,一直未在理论上给予解决。利用复数法、特殊函数加法公式和波函数展开法研究了圆形区域内圆孔缺陷对区域外边界反平面分布载荷的动态响应问题,给出了圆域内的位移场和圆孔缺陷边界处应力集中系数的计算方法,讨论了缺陷边界处应力集中系数随扰动频率、偏心距和方位角的变化关系,并通过数值算例分析验证了理论的研究结果,说明了边界和载荷对集中系数的影响。

The scattering problem of the circular cavity in the circular domain to the elastic waves is one of the main research objects in NDT （ Non-destructive testing） applications which has not been solved theoretically till now, the complex method, special function addition formulae and the wave function expansion method are employed to study the dynamic response problem of the circular cavity defect in the circular domain to the out-of-plane distributing loading acting on the outside of the circular domain, theoretical computation method of the stress concentration factors （DSCF） on the boundary of the circular cavity defect is given, and the variations of the DSCF of the defect boundary along with the disturbing frequency and the loading location are investigated, numerical examples are given to verify the theoretical conclusions and show the influence of the boundaries and the loads to DSCF.