压电拼接电磁复合材料中裂纹对SH波散射

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 192-197.

论文

压电拼接电磁复合材料中裂纹对SH波散射

杨娟，李星

作者信息 +

The scattering of SH wave on cracks in magneto-electro-elastic composites bonded to a piezoelectric material

YANG Juan ，LI Xing

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文章历史 +

摘要

利用积分变换及奇异积分方程技术研究电磁复合材料底层处裂纹对SH波散射问题。假定裂纹面的边界条件为电渗透性，通过Fourier余弦变化将问题转化为对偶积分方程，并利用Copson方法将对偶积分方程转化为第二类Fredholm积分方程求解。给出标准动应力强度因子表达式；通过数值计算分析裂纹长度、裂纹到界面距离、入射波频率及入射角对标准动应力强度因子影响。

Abstract

The scattering of SH wave on cracks in magneto-electro-elastic composites substrate was studied. Considering the electric permeable boundary conditions, by using the Fourier cosine transform, the problem was transformed to a pair of dual integral equations, which were then reduced to the Fredholm integral equation of second kind by the using the Copson methods, and the normalized dynamic stress intensity factor at the crack tip was obtained. Finally, numerical results showed the influence of the length of the crack, the thickness of the strip, the frequency of SH wave and the incidence angle upon the normalized stress intensity factor.

导出引用

杨娟;李星. 压电拼接电磁复合材料中裂纹对SH波散射[J]. 振动与冲击, 2014, 33(20): 192-197

YANG Juan;LI Xing. The scattering of SH wave on cracks in magneto-electro-elastic composites bonded to a piezoelectric material [J]. Journal of Vibration and Shock, 2014, 33(20): 192-197