双相介质半空间中椭圆形夹杂及直线裂纹对SH波的散射  

Scattering of SH waves by elliptic inclusion and beeline crack in bi-material half space

作　　者：丁晓浩 齐辉[1] 赵元博[1] 张洋[1,2] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001 [2]鸡西市建筑设计院,黑龙江鸡西158100

出　　处：《地震工程与工程振动》2016年第1期148-156,共9页Earthquake Engineering and Engineering Dynamics

基　　金：黑龙江省自然科学基金资助项目(A201404)~~

摘　　要：采用Green函数法和保角映射法研究了双相介质半空间中位于界面两侧的浅埋椭圆形夹杂和直线裂纹对SH的散射问题。首先,将研究模型沿垂直界面剖分为两个直角平面进行研究:含有椭圆形夹杂的区域I和含有直线裂纹的区域II。利用保角映射法和镜像叠加原理构造区域I内的散射波场,利用裂纹"切割"技术和Green函数法构造区域II中直线裂纹。其次,利用界面"契合"技术在契合面上施加未知外力系使契合模型满足界面上的应力和位移连续性条件,建立求解附加未知外力系的无穷代数方程组,并通过傅里叶级数展开和有限项截断求解;最后,通过具体算例讨论了入射角度、入射波数和直线裂纹等因数对椭圆形夹杂的动应力集中系数的影响。Based on Green＇ s function method and comformal mapping method, the scattering of SH waves by ellip- tic inclusion and a beeline crack on either side of interface in a bi-material half space are investigated. Firstly, the theoretical model is divided into two parts along the interface. Part I is the right angle plane on the left side of the interface with elliptic inclusion and part II is the one with crack on the other side. The conformal mapping method and image method are employed to construct the scattering wave field. The beeline crack was created by using crack-division technique and Green＇ s function method. Secondly, to satisfy the continuity conditions of stress and displacement on the vertical interface, unknown force system is loaded on the conjunction interface and a series of integral equations are set up and solved by Fourier series expansion and effective truncation. Finally, the influence of incident wave, incident angle, beeline crack and other factors on dynamic stress concentration factor （DSCF） around the elliptic inclusion is presented and discussed.

关 键 词：SH波 直线裂纹 椭圆形夹杂 保角映射 动应力集中系数(DSCF) 

分 类 号：P315.3[天文地球—地震学]