中文摘要：

研究了SH波在压电材料条中裂纹处的散射.压电材料条两侧涂有相同梯度参数的两个半无限大功能梯度材料,裂纹垂直于界面.通过Fourier变换,利用边界条件把问题转化为柯西核奇异积分方程,然后利用Chebyshev多项式对奇异积分方程进行数值求解.通过数值计算,分析讨论了压电条的几何参数和SH波频率对标准动应力强度因子的影响.

英文摘要：

In this article,the scattering of SH wave by a finite crack in a piezoelectric strip has been investigated in detail.The piezoelectric layer is bonded between two functionally grated material（FGM） half planes.The crack is vertical to the interface.Based on the Fourier integral transform and the boundary conditions,the scattering problem is reduced to the singular integral equations with Cauchy kernel.The Cauchy singular integral equations can be solved by the approximation of Chebyshev polynomials.Numerical results for the normalized dynamic stress intensive factor（NDSIF） are carried out.The effects of geometric parameters and frequency of SH wave on the NDSIF are discussed in detail.