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دینامیک خاک و مهندسی زلزله 2011
جزئیات رویداد
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  • sh-wave diffraction by a semi-circular hill revisited: a null-field boundary integral equation method using degenerate kernels

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    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 933
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     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.

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