Considerable interest in studies of surface elastic wave propagation on solids, in particular of Rayleigh waves, has arisen in recent years (Maradudin and Mills, 1976; Maradudin, 1987). This is largely because of the usefulness of Rayleigh waves in many practical devices, e.g. filters, resonators, delay lines etc. In addition, studies of Rayleigh wave propagation offer the possibility of examining the properties of materials very close to their surfaces. A Rayleigh wave is a solution of the equation of motion of a semi-infinite elastic medium, bounded by a planar, stress-free surface (Maradudin, 1987; Equiluz and Maradudin, 1983). It propagates in a wavelike fashion in directions parallel to the surface, but its amplitude decays with increasing distance into the medium from the surface. In the present work we limit ourselves to isotropic media. In the literature (Maradudin, 1987) the solution to the dispersion equation for Rayleigh waves on an isotropic elastic solid is given only in graphical form. In the present work the numerical solution of the equation is tabulated. This permits further results to be presented which are of practical value, namely the penetration depths of the waves as functions of the ratios of the Rayleigh wave velocity to the bulk transverse and longitudinal velocities, and as functions of the Poisson's ratio of the material. Furthermore in the present work the amplitudes of the Rayleigh wave components are calculated as functions of the depth from the surface for differnt values of the Poisson's ratio.
展开▼
机译：近年来，人们对固体表面弹性波传播，特别是瑞利波传播的研究引起了极大的兴趣（Maradudin和Mills，1976; Maradudin，1987）。这在很大程度上是由于瑞利波在许多实际设备中的有用性，例如滤波器，谐振器，延迟线等。此外，瑞利波传播的研究提供了检查非常接近其表面的材料特性的可能性。瑞利波是半无限弹性介质的运动方程的解，其边界是平面的，无应力的表面（Maradudin，1987; Equiluz and Maradudin，1983）。它在平行于表面的方向上以波状传播，但其幅度随着从表面到介质的距离增加而衰减。在目前的工作中，我们将自己局限于各向同性介质。在文献中（Maradudin，1987），仅以图形形式给出了各向同性弹性固体上瑞利波频散方程的解。在目前的工作中，方程的数值解被制成表格。这允许呈现出具有实际价值的进一步结果，即，波的穿透深度是瑞利波速度与整体横向和纵向速度之比的函数，并且是材料的泊松比的函数。此外，在当前工作中，对于泊松比的不同值，瑞利波分量的振幅被计算为距表面深度的函数。
展开▼
