梯度介质半空间Rayleigh面波传播性能研究

对剪切弹性模量沿深度以指数函数变化的非均质半空间，本文用摄动法得到了Rayleigh面波的波函数解答及相速度方程。以不同金属与陶瓷复合而成的几种梯度材料为例，用数值方法求解了相速度方程，给出了相应的波的弥散曲线，结果表明，梯度介质半空间自由表面附近的Rayleigh波通常有两种不同的弥散形式，即正常弥散和非正常弥散。

Propagation Behavior of Rayleigh Waves in Graded Half-Space Medium

s: In the non-homogeneous semi-infinite medium, the shear modulus varies in the form of exponential function along the depth, by the perturbation method, the wave function solution and phase velocity equation of the Rayleigh surface waves are obtained in the paper. Several graded materials that are composite of different metals and ceramal are taken for the examples, the phase velocity equation is solved by the numerical method, the dispersion curves are given. The results show that the Rayleigh waves nearby the freedom surface in graded half-space medium usually have two kinds of dispersion forms, i.e. formal dispersion and informal dispersion.