半空间双相压电介质垂直边界附近圆形夹杂的动态性能分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (21) : 77-84.

论文

张希萌，齐辉，丁晓浩，陈洪英

作者信息 +

Dynamic performance analysis of circular inclusion near the vertical boundary in the piezoelectric bi-material half -space

Zhangxi-meng,Qi hui, Ding Xiaohao,Chen Hong-ying

Author information +

文章历史 +

摘要

利用“Green函数法”和“镜像法”对在SH波作用下半空间双相压电介质垂直边界附近圆形夹杂的动态性能进行分析，得到其稳态响应。利用镜像法得到满足水平边界应力自由与电位移自由的波函数解析表达式。根据垂直边界连续性条件，利用“契合法”建立第一类Fredholm型积分方程组，得到圆形夹杂周边的动应力集中系数与电场强度系数解析表达式。数值算例分析了入射波频率、入射角度、圆形夹杂位置等对动应力集中系数与电场强度系数的影响，并与已有文献进行比较。

Abstract

The dynamic performance of circular inclusion near the vertical boundary in the piezoelectric bi-material half –space under SH wave is analyzed by the Green function method and mirror method to obtain the steady state response. The analytical expression of wave function which satisfies the stress free and electric displacement free on the horizontal boundaries is obtained by the mirror method. According to the continuity condition on the vertical boundary, the first kind of Fredholm integral equations are established to obtain analytical expression of dynamic stress concentration factor and electric field intensity concentration factor around the edge of circular inclusion by the conjunction method. The influences of the frequencies of incident wave, the incident angle and the position of circular inclusion, etc. on the dynamic stress concentration factor and electric field intensity concentration factor are analyzed and compared with the existed literature in calculating example .

导出引用

张希萌，齐辉，丁晓浩，陈洪英. 半空间双相压电介质垂直边界附近圆形夹杂的动态性能分析[J]. 振动与冲击, 2017, 36(21): 77-84

Zhangxi-meng,Qi hui, Ding Xiaohao,Chen Hong-ying. Dynamic performance analysis of circular inclusion near the vertical boundary in the piezoelectric bi-material half -space[J]. Journal of Vibration and Shock, 2017, 36(21): 77-84

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