Scattering of a Rayleigh Wave by the Edge of a Thin Surface Layer
<p>This investigation treats the problem of the scattering of a Rayleigh wave by the edge of a thin layer which covers half the surface of an elastic half-space. The interaction between the layer and the half-space is described approximately by means of a model in which the effect of the layer...
| Summary: | <p>This investigation treats the problem of the scattering of a Rayleigh wave by the edge of a thin layer which covers half the surface of an elastic half-space. The interaction between the layer and the half-space is described approximately by means of a model in which the effect of the layer is represented by a pair of boundary conditions at the surface of the half-space. Two parameters- one representing mass and the other, stiffness- are found to characterize the layer. The incident Rayleigh wave impinges normally upon the plated region from the unplated side.</p>
<p>In the case where the mass of the layer vanishes, the problem is solved exactly using Fourier transforms and the Wiener-Hop£ technique, and numerical results are obtained for the amplitudes of the reflected and transmitted surface waves. In the more general case of a layer possessing both mass and stiffness, a perturbation procedure leads to a sequence of problems, each of which may be solved using Fourier transforms. The zeroth- and first-order problems are solved and the resulting approximate reflection and transmission coefficients are evaluated numerically for various ratios of layer mass to stiffness.</p>
|
|---|