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本文采用积分变换、积分方程、围道积分技术与渐近分析方法,研究了加层半空间平面交界裂缝弹性波散射的远场特性。文中把散射问题转化为求解对偶积分方程,进而化为求解奇异积分方程组,得到了Jacobi多项式的级数解,给出弹性波散射的远场模式,并计算了几组不同材料组合情形下远场模式的幅频曲线。计算结果表明共振峰是存在的,且P波与SV波入射时共振特性相同。
In this paper, the far field characteristics of the elastic wave scattering from the cracks in the plane boundary of the layered half space are studied by using the integral transformation, integral equations, contour integrating technique and asymptotic analysis method. In this paper, the problem of scattering is transformed into solving the dual integral equations, and then the singular integral equations are solved. The series solutions of Jacobi polynomials are obtained. The far-field modes of the elastic wave scattering are given, and several groups of different material combinations are calculated. Field mode amplitude frequency curve. The calculation results show that the resonance peak exists, and the P-wave and SV wave have the same resonance characteristics at the time of incidence.