Scattering of SH Waves by a Truncated Semi-Elliptic Canyon

Abstract

In this study, the region-point-matching technique (RPMT) is applied to examine the scattering problem of truncated semi-elliptic canyons under plane SH-wave excitation. The partition of the entire analyzed region into two subregions is carried out via an introduction of the elliptic-arc auxiliary boundary. Taking advantage of appropriate wavefunctions in elliptic coordinates, the expression of antiplane motions for each subregion can be obtained. To accomplish the indispensable coordinate shift, the coordinate-transformed relation, intended as a substitute for the addition theorem involving Mathieu functions, is well utilized. Integration of the coordinate-transformed relation into the RPMT brings about the rapid construction of simultaneous equations. Effects of pertinent parameters on steady-state and transient surface motions are demonstrated. Computed results show that, for horizontal incidence, the potential high level of ground shaking may occur near the illuminated upper corner of the canyon. In such a small localized region, due to the occurrence of constructive interference between the reflected waves from the horizontal ground surface and the scattered waves from the corners of the canyon, the peak amplifaction may be at least two times that of free-field response.

Dynamic Stress Concentration of a Circular Cavity Subjected by Steady Plane SH Waves in an Elastic Quarter with a Semi-Circular Canyon

“…( 6). Reflected SH waves of i w + and i w − have displacement expressions (7), where, r w + and r w − is corresponded to…”

“…Elastic wave scattering and resulted dynamic stress concentrations problems are always play a significant role in theoretical researches and engineering applications [1,2]. As the most basic and simplest wave model, anti-plane elastodynamics are given more attentions, more adequate researches and comprehensive analyses, then, many complicated boundary conditions and interface problems are resolved [3][4][5][6][7]. We discuss a steady state problem for SH wave scattering of a circular cavity and a semi-circular canyon in an elastic quarter in this present paper.…”

Computation of TM Scattered Fields Induced by a Truncated Semi-Elliptic Cavity in a PEC

“…This paper develops an efficient semi-analytic method to solve the issue of EM scattering originating from a truncated semi-elliptic cavity embedded in a PEC ground plane. The so-lution is based on boundary value analysis [13] and the regionpoint-matching method [15], which is a numerical matching procedure. As a result, the proposed method simultaneously benefits from the advantages of both the numerical and analytical methods.…”

Dlx genes and the maintenance of bone homeostasis and skeletal integrity

“…: Samee et al 9 ) or in organ culture (e.g. : Hsu et al 14 ) as early lethality of null mutant mice has often hampered the elucidation of their postnatal role.…”