球壳中球形夹杂对SH波的三维散射与动应力集中

乔松; 尚新春

doi:10.3879/j.issn.1000-0887.2016.05.008

球壳中球形夹杂对SH波的三维散射与动应力集中

doi: 10.3879/j.issn.1000-0887.2016.05.008

乔松¹,
尚新春^1,2

¹国家材料服役安全科学中心(北京科技大学),北京 100083;²北京科技大学数理学院应用力学系,北京 100083

基金项目: 国家自然科学基金（10772024）

详细信息

作者简介:
乔松（1982—），男，博士(E-mail: qiao_song@qq.com);尚新春（1958—），男，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

中图分类号: O34
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- 文章访问数: 919
- HTML全文浏览量: 73
- PDF下载量: 458
- 被引次数: 0
出版历程
- 收稿日期: 2015-10-10
- 修回日期: 2016-01-12
- 刊出日期: 2016-05-15

3D Scattering and Dynamic Stress Concentration of SH Waves in Spherical Shells With Spherical Inclusions

QIAO Song¹,
SHANG Xin-chun^1,2

¹National Center for Materials Service Safety(University of Science and Technology Beijing), Beijing 100083, P.R.China;²Department of Applied Mechanics, School of Mathematics and Physics,University of Science and Technology Beijing, Beijing 100083, P.R.China

Funds: The National Natural Science Foundation of China（10772024）

摘要

摘要: 研究了一般情况下球壳中球形夹杂（包括孔洞）引起的SH波三维散射与动应力集中现象.根据球壳与夹杂的几何特点，分别以球壳和夹杂中心建立球坐标，用于描述球壳中的入射波、散射波和夹杂中的驻波势函数，并采用球波函数的加法公式，实现了不同坐标下球波函数的变换，推导出位移、应力分量的解析解.结合球壳的边界条件和夹杂界面的连续条件，求解了不同材料属性夹杂，以及空洞情况下弹性波的散射和动应力集中因子分布情况，并分析了频率以及夹杂中心位置对动应力集中因子的影响.文中的研究为球壳结构的力学性能分析以及无损检测提供了理论支持.
- 动应力集中 /
- 弹性波散射 /
- 球波函数 /
- 加法公式 /
- 球壳 /
- 球形夹杂
Abstract: Spherical shells are widely applied in many engineering fields, and dynamic stress concentration generated by the inclusions (including cavities) will affect the bearing strengths and service lives of the structures directly. The 3D scattering and dynamic stress concentration of SH waves around spherical inclusions in thick spherical shells were investigated theoretically and numerically. 2 spherical coordinate systems, located at the spherical shell center and the inclusion center, were established to express the incidence and scattered waves in the expansion form of spherical wave functions. The addition formulas were employed to perform the coordinate transformation and the analytical solutions of the displacements and stresses were derived. Finally, computation and comparison of wave scattering and dynamic stress concentration by the inclusions of different materials and a cavity were conducted, and the results revealed the influences of the incidence frequency and the inclusion center position on the distributions of the dynamic stress concentration factors. This research provides a theoretical support for the dynamic analysis and nondestructive examination of spherical shells.
- dynamic stress concentration /
- wave scattering /
- spherical wave function /
- addition formula /
- spherical inclusion /
- spherical thick shell

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参考文献(18)

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球壳中球形夹杂对SH波的三维散射与动应力集中

doi: 10.3879/j.issn.1000-0887.2016.05.008

作者简介:
乔松（1982—），男，博士(E-mail: qiao_song@qq.com);尚新春（1958—），男，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

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3D Scattering and Dynamic Stress Concentration of SH Waves in Spherical Shells With Spherical Inclusions

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球壳中球形夹杂对SH波的三维散射与动应力集中

doi: 10.3879/j.issn.1000-0887.2016.05.008

作者简介: 乔松（1982—），男，博士(E-mail: qiao_song@qq.com);尚新春（1958—），男，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

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出版历程

3D Scattering and Dynamic Stress Concentration of SH Waves in Spherical Shells With Spherical Inclusions

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出版历程

目录

作者简介:
乔松（1982—），男，博士(E-mail: qiao_song@qq.com);尚新春（1958—），男，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).