中文摘要：

研究功能梯度压电带中裂纹对SH波的散射问题,为了便于分析,材料性质假定为指数模型,并假设裂纹面上的边界条件为电渗透型的.根据压电理论得到压电体的状态方程,利用Fourier积分变换,问题转化为对偶积分方程的求解.用Copson方法求解积分方程.求得了裂纹尖端动应力强度因子、电位移强度因子的解析表达式,最后数值结果显示了标准动应力强度因子与入射波数、材料参数、带宽、波数以及入射角之间的关系.

英文摘要：

The scattering problem of SH wave on cracks in functionally graded piezoelectric strip was investigated. The exponential model of material properties were assumed, and the crack surfaces were assumed to be permeable. According to the piezoelectric theory, the governing equations were deduced for the functionally graded piezoelectric materials, by using Fourier integral transform. The problem was reduced to dual integral equations, these equations were solved by using Copson methods. The dynamic stress intensity factor and electric displacement intensity factor near the crack tip were obtained. The numerical results show the relations between the normalized dynamic stress intensity factor and the wave number, the gradient parameter, the thickness of the strip and the angle of wave.