SH波作用下浅埋裂纹附近半圆形凸起的地震动

英文篇名：Antiplane response of a semi-cylindrical hill above a subsurface crack to incident SH waves
中文刊名：地震工程与工程振动
英文刊名：Journal of Earthquake Engineering and Engineering Vibration
作者：吕晓棠 ; 刘殿魁
英文作者：L Xiaotang1 ; LIU Diankui2 (1.Department of Civil Engineering ; Hefei University ; Hefei 230022 ; China ; 2.College of Civil Engineering ; Harbin Engineering University ; Harbin 150001 ; China)
中文关键词：SH波散射 ; 半圆形凸起 ; 裂纹 ; Green函数
英文关键词：scattering of SH-wave ; semi-cylindrical hill ; crack ; Green function
出版日期：2008-06-15
机构：合肥学院建筑工程系,哈尔滨工程大学建筑工程学院安徽合肥230022,黑龙江哈尔滨150001
年：2008
期：03
出版单位：地震工程与工程振动

摘要

利用Green函数、复变函数及多极坐标法研究了浅埋裂纹附近的半圆形凸起地形对SH波的散射问题。首先求解出适合本问题的Green函数,即含有半圆形凸起的弹性半空间内任意一点承受时间谐和的出平面线源荷载作用时位移场的解答。然后,从半圆形凸起地形对SH波的散射问题出发,利用本问题的Green函数在基体内构造裂纹。最后给出了浅埋裂纹附近的半圆形凸起地形对SH波散射的位移场。通过算例讨论了裂纹对地表位移幅值的影响,结果表明裂纹在一定情况下具有减震作用。
Scattering of SH wave by a semi-cylindrical hill above a subsurface crack is studied by the Green function,the complex function and the multi-polar coordinates.Firstly,a suitable Green function is constructed,which is the fundamental solution of the displacement field for an elastic half space with a semi-cylindrical hill under an out-plane harmonic line source loading at an arbitrary point in matrix.Secondly,based on the problem of scattering of SH wave by a semi-cylindrical hill,the Green function is employed to construct a subsurface crack.Finally,the displacement field of semi-cylindrical hill above a subsurface crack under SH wave is given.The calculating results of the hill motion are plotted to show the influence of crack on the surface displacement, which demonstrates that the presence of the crack has obvious earthquake damping function under certain conditions.

引文

[1]Shi G C.Stress distribution near internal crack tips for longitudinal shear problems[J].Journal of Applied Mechanics,1965,32(1):51-58.
    [2]刘殿魁,刘宏伟.孔边裂纹对SH波散射及动应力强度因子[J].力学学报,1999,31(3):292-299.
    [3]史守峡,刘殿魁,杨庆山.SH波对内含裂纹衬砌结构的散射与动应力集中[J].爆炸与冲击,2000,20(3):228-234.
    [4]陆建飞,蔡兰,柳春图.圆夹杂内裂纹对SH波的动力响应[J].力学学报,2003,35(5):623-627.
    [5]Liu Diankui,Chen Zhigang.Scattering of SH-wave by cracks originating at an elliptic hole and dynamic stress intensity factor[J].AppliedMathematics and Mechanics,2004,25(9):958-966.
    [6]Liu Diankui,Lin Hong.Scattering of SH-waves by an interface linear crack and a circular cavity near bimaterial interface[J].ACTAMechani-ca Sinica.2004,20(3):317-326
    [7]Yang Zailin,L櫣Diankui,L櫣xiaotang.Dynamics of a mode III crack impacted By elastic wave in half space with a removable Rigid cylindricalinclusion[J].Key Engineering Materials,2006,(324-325):679-682.
    [8]李宏亮.SH波作用下孔洞、夹杂与直线形裂纹的相互作用[D].哈尔滨:哈尔滨工程大学,2004.
    [9]Yuan Xiaoming,Men Fulu.Scattering of plane SH-waves by a semi-cylindrical hill[J].Earthq.Eng.and Struct.Dynamics,1992(21):1091-1098.
    [10]刘殿魁,王国庆.浅埋圆形孔洞附近的半圆形凸起对SH波的散射[J].力学学报,2006,38(2):209-21.