Surface and Subsurface Waves
Surface and Subsurface Waves
复制标题
DOI：
10.1017/cbo9781107273610.009
复制
发表时间：
2014-08
期刊：
影响因子：
--
通讯作者：
J. Rose
中科院分区：
文献类型：
--
作者：
J. Rose
背景面波的存在早在一个多世纪前就从理论上进行了预测。1885年，瑞利勋爵在他的论文《沿着弹性杆的平面传播的波》中首次预测了沿半空间表面传播的弹性波，这篇论文提交给了伦敦数学学会的论文集。很有说服力的是，这篇论文提交给了一个数学学会，而不是一个物理学会，因为这种表面波主要是一个数学概念，尽管瑞利勋爵确实怀疑它们将与地震学相关。然而，到了二十世纪中叶，表面波开始进入主流技术应用领域。这些波通常被称为瑞利波或声表面波(SAW)，现在被用于许多科学和技术领域，包括超声波无损检测和SHM、地震学和电子电路。关于这一主题的文献很多，例如查德威克和史密斯(1977)、法内尔(1970)、波拉德(1977)和维克托罗夫(1967)。实验证据首先是在观测地球表面上的波传播(地震的结果)和随后的地球表面的模式转换时获得的。观测到了能量随深度增加而衰减的异常行为，以及波在曲面上传播的能力。本章研究各向同性、均匀、线弹性半空间上的表面波。我们采用一种相当经典的方法来解决这个问题，这个问题是基于自由表面的势函数和边界条件的。还将作出各向同性、均质性和线弹性响应的假设。详情见Auld(1990年)、Basatskaya and Ermolov(1980)、Couchman and Bell(1978)、Heelan(1953)、Kolsky(1963)、Nikiforov and Kharitonov(1981)、Pilarski and Rose()、Uberall(1973)和Viktorov(1967)。
Background The existence of surface waves was predicted theoretically over a century ago. Elastic waves propagating along the surface of a half-space were first predicted by Lord Rayleigh in 1885 in his paper “On waves propagating along the plane surface of an elastic bar,” submitted to the Proceedings of the London Mathematical Society. It is telling that this paper was submitted to a mathematical society and not a physical society, as such surface waves were primarily a mathematical concept, although Lord Rayleigh did suspect that they would be relevant to seismology. By the middle of the twentieth century, however, surface waves began to enter into mainstream technological applications. These waves, often referred to as Rayleigh waves or surface acoustic waves (SAW), are now being employed in a number of areas of science and technology, including ultrasonic NDE and SHM, seismology, and electronic circuitry. There is much literature on this subject, including for example Chadwick and Smith (1977), Farnell (1970), Pollard (1977), and Viktorov (1967). Experimental evidence was first obtained in observing wave propagation over the surface of the earth (as a result of earthquakes) and subsequent mode conversion at the earth’s surface. Observations were made regarding the unusual behavior of energy decay with increased depth and the ability of waves to travel along curved surfaces. This chapter examines surface waves on an isotropic, homogeneous, linear elastic semi-space. We take a rather classical approach to-the problem, one that is based on potential functions and boundary conditions for a free surface. Assumptions of isotropy, homogeneity, and linear elastic response will also be made. For more detail, see Auld (1990), Basatskaya and Ermolov (1980), Couchman and Bell (1978), Heelan (1953), Kolsky (1963), Nikiforov and Kharitonov (1981), Pilarski and Rose (1989), Uberall (1973), and Viktorov (1967).