弹性半空间夹杂群对平面SH波散射的快速多极多域边界元法模拟

发布时间：2018-07-02 12:36

本文选题：多域散射 + 平面SH波　；参考：《岩土力学》2017年04期

【摘要】：结合快速多极子展开技术,发展一种高精度快速多域间接边界元方法,用于求解弹性半空间大规模夹杂群对平面SH波的二维散射。数值检验表明,该方法能够高效精确地求解大规模多域散射问题,同时可大幅度降低计算存储量,据此在普通电脑上可实现数百万自由度二维多域出平面散射问题快速求解,进而分别针对半空间中均匀分布和随机分布的夹杂群,探讨了夹杂群刚度、形状对其周围平面SH波散射的影响规律。研究结果表明:由于弹性波的多次散射相干,使得夹杂群对平面SH波的散射与单夹杂体存在显著差异,总波场空间分布特征和位移频谱特征更为复杂;平面SH波散射特性主要取决于夹杂体的材料软硬程度、几何形状特征和入射波的角度、频率。另外,研究方法和分析结论可为半空间复杂不均质体对SH波散射正、反演分析提供新的技术手段和理论依据。
[Abstract]:Combined with the fast multipole expansion technique, a high precision fast multi-domain indirect boundary element method is developed to solve the two-dimensional scattering of plane SH waves by large scale inclusions in elastic half-space. Numerical tests show that this method can solve the large scale multi-domain scattering problem efficiently and accurately, and reduce the computational memory greatly. According to this method, millions of degrees of freedom two-dimensional multi-domain scattering problems can be solved quickly on a general computer. Then the influence of the stiffness and shape of the inclusion group on the scattering of SH-wave in the surrounding plane is discussed for the uniformly distributed and randomly distributed inclusions in the half-space. The results show that because of the multiple scattering coherence of elastic waves, there is a significant difference between the inclusion group scattering and the single inclusion body, and the spatial distribution and displacement spectrum characteristics of the total wave field are more complex. The scattering characteristics of plane SH waves mainly depend on the material hardness, geometric shape and the angle and frequency of the incident wave. In addition, the research method and analysis conclusions can provide a new technical means and theoretical basis for the scattering of SH waves by complex heterogeneous bodies in half space and inversion analysis.
【作者单位】：天津城建大学天津市土木建筑结构防护与加固重点实验室;天津城建大学天津市地震工程研究所;
【基金】：国家自然科学基金项目(No.51278327) 天津市应用基础与前沿基础研究计划项目(No.14JCYBJC21900,No.13JCQNJC07400)~~
【分类号】：TU4

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