界面上圆形衬砌结构对平面SH波散射

研究界面上的圆形衬砌结构对平面SH波散射与动应力集中问题.在一个含有半圆形衬砌缺口的弹性半空间水平面上,Green函数是受时间谐和的出平面线源载荷作用的位移基本解.采用沿界面“剖分”圆形衬砌结构的方法,并利用界面连续性条件建立起问题的定解积分方程组,进而得到圆形衬砌上的动应力集中解.最后给出了关于界面圆形衬砌结构上动应力集中系数的数值结果,并对界面圆形衬砌结构的动应力集中系数的影响进行了讨论.

THE SCATTERING OF PLANE SH-WAVE BY CIRCULAR INTERFACE CAVITY WITH LINING

This paper provides a new method for analyzing scattering and dynamic stress concentration of plane SH-waves by interface circular cavity with lining by means of Green's function. Green's functions have been established. The interface circular cavity with lining is divided into two parts along its horizontal interface. In order to satisfy the continuous conditions in the division interface plane, unknown anti-plane forces must be applied in the division plane, then integral equation for unknown forces can be obtained. The integral equation can be transferred into algebraic equations and solved numerically.As an example, the dynamics stress concentration factors (DSCF) around interface circular cavity with lining may be determined and calculated numerically, numerical examples show surrounding medium parameters's effect to the DSCF in detail. The variation of DSCF has main related to non-dimensional incident waves number and the ratio of medium parameters, but also related to the lining thickness. For the special cases that the lining medium II is thought as "soften" lining, the DSCF values is very small. The DSCF distribution is not symmetrical of SH-waves obliquely, and it becomes very complicated with increase of the incident wave number. The interface DSCF values depend strongly on both non-dimensional incident waves number and the ratio of medium parameters. As non-dimensional incident waves number is more small, the DSCF values is more great, and it shows fluctuation with increase of non-dimensional incident waves number.