SH波在压电材料条中垂直界面裂纹处的散射

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.

THE SCATTERING OF SH WAVE ON A VERTICAL CRACK IN A COATED PIEZOELECTRIC STRIP

The scattering of elastic waves is an important method in researching the defects and parameter of materials.Many applications in industry utilize a piezoelectric layered composite plate with a crack. In this paper, the scattering of SH wave by a finite crack in a piezoelectric strip is considered(shown in Figure$1$). The piezoelectric layer is bonded between two half plate of functionally grated materials(FGMs). The shear modulus and the mass density of FGMs are assumed to be of exponential form, and the crack is vertical to the interfaces. Based on the Fourier integral transform and the boundary conditions, the solution is obtained in terms of a Cauchy singular integral equation. The Cauchy singular integral equation can be solved by the approximation of Chebyshev polynomials. Numerical results for the normalized dynamic stress intensive factors (NDSIF) are carried out for an example. The effects of geometric parameters and frequency of SH wave on the NDSIF are plotted out and discussed.