双相介质半空间中圆孔对透射SH波的稳态分析

齐辉; 蔡立明; 罗广龙; 潘向南; 杨杰; 王宪章; 李国文; 蒋敬江

doi:10.11883/1001-1455(2015)04-0591-08

双相介质半空间中圆孔对透射SH波的稳态分析

doi: 10.11883/1001-1455(2015)04-0591-08

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.
上海电机学院机械学院，上海 201306
3.
中建一局总承包公司，北京 100070

基金项目: 国家自然科学基金项目(51379048)

详细信息

作者简介:
齐辉(1963-), 男, 博士, 教授

通讯作者:
潘向南, panxiangnan@hrbeu.edu.cn

中图分类号: O343
计量
- 文章访问数: 2968
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- 被引次数: 0
出版历程
- 收稿日期: 2013-12-04
- 修回日期: 2014-03-01
- 刊出日期: 2015-07-25

Steady state analysis for circular cavity impacted by transmitted SH wave in a bi-material half space

1.
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China
2.
School of Mechanical Engineering, Shanghai Dianji University, Shanghai 201306, China
3.
China Construction First Engineering Division Corp. Ltd., Beijing 100070, China

摘要

摘要: 研究了平面SH波在半空间双相弹性介质中的传播。通过Green函数和积分方程方法，按照复变函数描述，对透射波被圆孔散射的情况进行稳态分析。将双相介质半空间沿界面剖分为1/4空间介质Ⅰ和含圆孔的1/4空间介质Ⅱ，分别构造了介质Ⅰ和介质Ⅱ中反平面点源荷载的Green函数，按双相介质中平面SH波的处理方法，给出介质Ⅰ和介质Ⅱ中的平面位移波，两种介质之间的相互作用力与对应Green函数的乘积沿界面的积分与平面位移波叠加得到介质Ⅰ和介质Ⅱ中的全部位移场。按照界面的位移连续条件，定解积分方程组，得到问题的稳态解，并给出圆孔位置和介质参数对散射的影响。
- 固体力学 /
- 散射 /
- Green函数 /
- SH波 /
- 圆孔 /
- 双相介质半空间 /
- 振动与波
Abstract: To study the way that the plane SH wave propagating in an elastic bi-material half space from medium Ⅰ to medium Ⅱ, the steady-state scattering of the transmitted wave by a circular cavity is analyzed by using Green function and integral equation methods on complex function description. The bi-material half space is divided into a quarter space medium Ⅰ and a quarter space medium Ⅱ with a circular cavity in it. Their Green functions are constructed as anti-plane point source response problem respectively. The total displacement fields of medium Ⅰ and medium Ⅱ are formulated as two parts' vector sum. The first part is interfacial integral of interactive force multiplied by corresponding Green function. The second part is plane displacement field formed by omitting the circular cavity. Steady state solution is obtained by determining the integral equations along interface with displacement continuity. Numerical results are presented to reveal the effects of locations and material parameters on circular cavity scattering.
- solid mechanics /
- scattering /
- Green function /
- SH wave /
- a circular cavity /
- a bi-material half space /
- vibration and wave

HTML全文

图 1 半空间双相介质中的圆孔

Figure 1. Circular cavity in a bi-material half space

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图 2 等价问题

Figure 2. Equivalent issue

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图 3 介质Ⅱ中的Green函数

Figure 3. Green function in medium Ⅱ

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图 4 位移波场的契合

Figure 4. Conjunction of displacement wave field

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图 5 动应力集中因子在圆孔边沿的分布

Figure 5. Distribution of dynamic stress concentrations factors around the cylindrical cavity

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图 6 标准化位移幅值在水平边界上的分布

Figure 6. Distribution of normalized displacement amplitude along the horizontal bound

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