球壳中球形夹杂对SH波的三维散射与动应力集中

发布时间：2018-05-05 09:29

本文选题：动应力集中 + 弹性波散射　；参考：《应用数学和力学》2016年05期

【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.
[Abstract]:The 3-D scattering and dynamic stress concentration of SH-wave caused by spherical inclusions (including holes) in spherical shells are studied. According to the geometric characteristics of spherical shells and inclusions, spherical coordinates are established with spherical shells and inclusion centers, respectively, to describe the potential functions of incident waves, scattered waves and standing waves in spherical shells, and the additive formula of spherical wave functions is adopted. The transformation of spherical wave function in different coordinates is realized, and the analytical solutions of displacement and stress components are derived. Combining the boundary conditions of the spherical shell and the continuous condition of the inclusion interface, the scattering and dynamic stress concentration factors of elastic waves in the case of cavitation are solved, and the inclusions with different material properties are obtained. The influence of frequency and the location of inclusion center on the dynamic stress concentration factor is analyzed. The research in this paper provides theoretical support for mechanical properties analysis and nondestructive testing of spherical shell structures.
【作者单位】：国家材料服役安全科学中心(北京科技大学);北京科技大学数理学院应用力学系;
【基金】：国家自然科学基金(10772024)~~
【分类号】：O343

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