压电拼接电磁复合材料中裂纹对SH波的散射

Scattering of SH wave in magneto-electro-elastic composite with cracks and bonded with a piezoelectric material

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。

The scattering of SH wave in the substrate of a magneto-electro-elastic composite with cracks 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 using the Copson method,and the normalized dynamic stress intensity factor at the crack tip was solved.The numerical results show the influences of the length of crack,the thickness of strip,the frequency of SH wave and the incidence angle upon the normalized stress intensity factor.