SH波与界面多圆孔的散射及动应力集中

研究了平面SH波对相邻多个界面圆孔的散射及其动应力集中，为了求解，首先利用复变函数和多极坐标方法构造了在含有多个半圆形缺口的弹性半空间，水平面上任一点随时间谐和出平面线源载荷作用时失主移，邓Green函数，且采用“契合”模型，推导了SH波对相邻多个界面圆孔散射的定解积分方程组，进而求得圆孔附近的动应力系数，作为算例，讨论了具有两个界面圆孔对SH波的散射及其相互影响，给出了孔附近的动应力分布曲线。

DYNAMIC STRESS CONCENTRATION & SCAfTERING OF SH-WAVE BY INTERFACE MULTIPLE CIRCLE CANYONS

In this paper, the dynamic stress concentration and the scattering of SH-wave by interface multiple circle canyons are investigated. The suitable Green's function is based on the wave functions and obtained by the use of complex function as Well as multi-polar coordinate systems, which is the solution of displacement field for elastic half space with multiple semi-circle impacted by out-plane harmonic line source loading at horizofital surface. Therefore the interaction problems among interface canyons are solved. In the process of analysis, the problem can be regarded as harmony model: it can be divided into upper and down half plane along horizontal interface. In order to satisfy the interface continuity condition, the unknown anti-plane forces are added at the interface. The Fredholm integral equation for determining the unknown forces can be set up through continuity condition. The integral equations can be transformed into algebraic equations and solved numerically. So the dynamic stress concentration factor (DSCF) around circle canyons can be determined. As an example, the scattering of SH-wave from only two interface circle canyons. and the influence between them are discussed. The distribution of dynamics stress concentration factor curve close to the circle canyons is made out. The influences of the right canyon to the left canyon are discussed under different materials constats. When the distance between the two circle canyons is near, the DSCF Value of the right canyon is 10% ~ 30% more than that of only one circle canyon due to the influences of the left canyon. When x1/R > 3 (x1 is the distance between the two canyons and R is the radius of the two canyon), the effect of the change of the material constants on the DSCF value is slight. While the non-dimensional incident wave number is between 0.2 and 0.6, its influence to the DSCF value is very obvious.