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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51851

Title: SH-wave diffraction by a semi-circular hill revisited: A null-field boundary integral equation method using degenerate kernels
Authors: Jeng-Tzong Chen
Jia-Wei Lee
Chine-Feng Wu
I-Lin Chen
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: SH-wave
Semi-circular hill
Null-field BIEM
Degenerate kernel
Date: 2011-11
Issue Date: 2018-12-27T08:13:51Z
Publisher: Soil Dynamics and Earthquake Engineering
Abstract: Abstract: Following the success of seismic analysis of a canyon [1], the problem of SH-wave diffraction by a semi-circular hill is revisited using the null-field boundary integral equation method (BIEM). To fully utilize the analytical property in the null-field boundary integral equation approach in conjunction with degenerate kernels for solving the semi-circular hill scattering problem, the problem is decomposed into two regions to produce circular boundaries using the technique of taking free body. One is the half-plane problem containing a semi-circular boundary. This semi-infinite problem is imbedded in an infinite plane with an artificial full circular boundary such that degenerate kernel can be fully applied. The other is an interior problem bounded by a circular boundary. The degenerate kernel in the polar coordinates for two subdomains is utilized for the closed-form fundamental solution. The semi-analytical formulation along with matching boundary conditions yields six constraint equations. Instead of finding admissible wave expansion bases, our null-field BIEM approach in conjunction with degenerate kernels have five features over the conventional BIEM/BEM: (1) free from calculating principal values, (2) exponential convergence, (3) elimination of boundary-layer effect, (4) meshless and (5) well-posed system. All the numerical results are comparing well with the available results in the literature. It is interesting to find that a focusing phenomenon is also observed in this study.
Relation: 31(5-6) pp.729-736
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51851
Appears in Collections:[河海工程學系] 期刊論文

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