SH波作用下弧形裂纹对圆形衬砌动应力集中系数的影响  

Dynamic stress concentration of SH-waves by arc cracks near a circular lining

作　　者：李宏亮[1] 刘殿魁 杨勇[1] 

机构地区：[1]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2007年第8期856-860,共5页Journal of Harbin Engineering University

基　　金：黑龙江省自然科学基金资助项目(A2004-07);哈尔滨工程大学基础研究基金资助项目(HEUFP05007)

摘　　要：对SH波入射情况下弧形裂纹对圆形衬砌结构的影响情况进行了研究.在含有圆形衬砌弹性空间中,取时间谐和的出平面线源载荷作用时的位移函数基本解作为Green函数,首先考虑仅含衬砌结构的情况,求出应力,然后利用裂纹的"人工切割",在裂纹实际存在区域加置与所求应力大小相等、方向相反的应力,从而构造出裂纹.在此基础上给出圆形衬砌与裂纹同时存在情况下的位移、应力表达式,进而对衬砌动应力集中问题进行求解.利用算例讨论裂纹对衬砌结构的动应力集中系数的影响,裂纹的存在改变了系数分布情况,影响不可忽略.This paper investigates the influence of arc cracks on a circular lining structure with incident SH waves. In the elastic space contained by a circular lining, a special Green＇s function is constructed by using a fundamental solution of displacement fields with an out-of plane harmonic line source force at any point. First, the stress solution is found by only considering the lining structure. Then, a crack is built by using an artificial crack cutting method, in which stresses that are equivalent to the stress and opposite in direc tion to it are exerted in the region where the crack will locate, sufficient that an assumed crack is formed. Afterwards, expressions of displacement and stress are worked out with both the circular liner and crack. In addition, the dynamic stress concentration problem near the liner is worked out. The influence of cracks on dynamic stress concentration factors ofaliner＇s structure is shown by some examples. The resultsindi care that the existence of a crack changes the distribution of stress concentration factors, so the influence of cracks should not be neglected.

关 键 词：弧形裂纹 GREEN函数 SH波散射 动应力集中系数 衬砌 

分 类 号：O343.1[理学—固体力学]