SH-wave scattering by a semi-elliptical hill using a null-field boundary integral equation method and a hybrid method

in National workshop (full text oral presentation), 國內研討會(全文口頭發表)
標題SH-wave scattering by a semi-elliptical hill using a null-field boundary integral equation method and a hybrid method
出版類型國內研討會(全文口頭發表)
出版年度2010
AuthorsLee, 李家瑋, Shyu 徐文信, & Chen 陳正宗
會議名稱The 34th National Conference on Theoretical and Applied Mechanics
出版日期Nov 19 2010 12:0
會議地點雲林
其他編號0000
中文摘要

Following the success of seismic analysis of a canyon [J.T. Chen, P.Y. Chen, C.T. Chen, Surface motion of multiple alluvial valleys for incident plane SH-waves by using a semi-analytical approach, Soil Dyn. Earthq. Eng. 28 (2008) 58-72.], the problem of SH-wave scattering by a semi-elliptical hill is revisited by 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-elliptical hill scattering problem, the problem is decomposed to two regions to produce elliptical boundaries by using the technique of taking free body. One is the half-plane problem containing a semi-elliptical boundary. This semi-infinite problem is imbedded in an infinite plane with an artificial full elliptical boundary such that degenerate kernel can be fully applied. The other is an interior problem bounded by an elliptical boundary. The degenerate kernel in the elliptic coordinates for two subdomains is utilized to expand the closed-form fundamental solution. The semi-analytical formulation in companion 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 the five features over the conventional BIEM/BEM, (1) free of calculating principal values, (2) exponential convergence, (3) elimination of boundary-layer effect, (4) meshless, and (5) well-posed system. All the numerical results are compared well with those of using the hybrid method which is also described in this paper. It is the interesting to find that a focusing phenomenon is also observed in this study.

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