Surface waves have been extensively studied in earthquake seismology. Surface waves are trapped near an infinitely large surface. The displacements decay exponentially with depth. These waves are also named Rayleigh and Love waves. Surface waves are also used for nondestructive testing of surface defects. Similar waves exist in finite width three-dimensional plates. In this case, displacements are no longer constant in the direction perpendicular to the wave propagation plane. Wave energy could still be trapped near the edge of the three-dimensional plate, and hence the term edge waves. These waves are thus different to the two-dimensional Rayleigh and Love waves. This paper presents a numerical model to study dispersion properties of edge waves in plates. A two-dimensional semi-analytical finite element method is developed, and the problem is closed by a perfectly matched layer adjacent to the edge. The numerical model is validated by comparing with available analytical and numerical solutions in the literature. On this basis, higher order edge waves and mode shapes are presented for a three-dimensional plate. The characteristics of the presented edge wave modes could be used in nondestructive testing applications.

中文翻译：

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三维板边波特性计算的一种数值方法

表面波在地震地震学中得到了广泛的研究。表面波被困在一个无限大的表面附近。位移随深度呈指数衰减。这些波也被称为瑞利波和洛夫波。表面波也用于表面缺陷的无损检测。类似的波存在于有限宽度的三维板中。在这种情况下，在垂直于波传播平面的方向上的位移不再是恒定的。波能仍然可能被困在三维板的边缘附近，因此称为边缘波。因此，这些波不同于二维瑞利波和洛夫波。本文提出了一个数值模型来研究板中边缘波的色散特性。开发了一种二维半解析有限元方法，并且问题由与边缘相邻的完美匹配层关闭。通过与文献中可用的解析和数值解进行比较来验证数值模型。在此基础上，提出了三维板的高阶边缘波和振型。所呈现的边缘波模式的特性可用于无损检测应用。