[1]杨杰,齐辉.半空间中双相介质界面一侧多个圆形弹性孔洞对SH波的散射[J].地震工程与工程振动,2019,39(06):128-137.[doi:10.13197/j.eeev.2019.06.128.yangj.018]
 YANG Jie,QI Hui.Scattering of SH waves by multiple circular elastic holes at the side of bi-material interface in half space[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2019,39(06):128-137.[doi:10.13197/j.eeev.2019.06.128.yangj.018]
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半空间中双相介质界面一侧多个圆形弹性孔洞对SH波的散射
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《地震工程与工程振动》[ISSN:/CN:]

卷:
39
期数:
2019年06
页码:
128-137
栏目:
论文
出版日期:
2019-12-31

文章信息/Info

Title:
Scattering of SH waves by multiple circular elastic holes at the side of bi-material interface in half space
作者:
杨杰12 齐辉2
1. 上海电机学院 机械学院, 上海 201306;
2. 哈尔滨工程大学 航天与建筑工程学院, 黑龙江 哈尔滨 150001
Author(s):
YANG Jie12 QI Hui2
1. School of Mechanical Engineering, Shanghai Dianji University, Shanghai 201306, China;
2. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China
关键词:
SH波半空间双相介质界面多个孔洞动应力集中
Keywords:
SH wavehalf spacebi-material interfacemultiple holesdynamic stress concentration
分类号:
O347.4;O348
DOI:
10.13197/j.eeev.2019.06.128.yangj.018
摘要:
SH波入射情况下,对半空间双相弹性介质界面一侧多个圆形孔洞动态力学响应的解析解答进行了研究。首先,利用复变函数方法建立SH波作用下含有多个圆形弹性孔洞的双相介质半空间理论模型,通过"镜像"思想和多极坐标技术构造满足控制方程和边界条件的等效波场位移表达式。然后,结合分区思想建立"契合"模型,根据双相介质界面处连续性条件,并利用Green函数和"契合"模型建立第一类Fredholm积分方程组。通过有效截断求解该定解积分方程组,并且给出任意位置的圆形孔洞周边的动应力集中系数表达式。以介质中存在两个圆形弹性孔为例,通过讨论发现弹性常数的变化和其他介质缺陷的存在均会对圆孔周边动应力集中系数的分布有一定程度的影响。
Abstract:
The dynamic response of the multiple circular elastic holes at the side of the bi-material interface in half space impacted by SH wave is investigated analytically. Firstly, the theoretical model of bi-material half space with multiple circular elastic holes impacted by SH waves is set up by the method of complex function. The displacement expressions of equivalent wave field are constructed through the idea of "image" and the technology of multipolar coordinate, which satisfy the boundary conditions. Establishing of "conjunction" model based on the idea of zoning, then the first kind of Fredholm integral equations are obtained by using the Green function and the "conjunction" model, which satisfy the continuity conditions at the interface. Solving the definite integral equations by truncation effectively, and the expression of dynamic stress concentration factor is obtained. Taking the existence of two circular elastic holes in medium as an example, the distribution of dynamic stress concentration factor has been influenced in some degree by the variation of elastic constant and the existence of defects of medium.

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备注/Memo

备注/Memo:
收稿日期:2019-10-07;改回日期:2019-11-21。
基金项目:上海市高峰高原学科项目(A1-5701-18-007-03)
作者简介:杨杰(1985-),女,副教授,博士,主要从事弹性波动理论研究及应用.E-mail:yangjie04024218@163.com
更新日期/Last Update: 1900-01-01