Multi-domain FMM-IBEM simulation of plane SH wave scattering by inclusions in elastic half-space

被引：0
|
作者：
Liu Z.-X. [1 ,2 ]
Wu F.-J. [1 ]
Wang D. [1 ]
Zhang H. [1 ,2 ]
机构：
[1] Tianjin Key Laboratory of Civil Structure Protection and Reinforcement, Tianjin Chengjian University, Tianjin
[2] Tianjin Institution of Earthquake Engineering, Tianjin Chengjion University, Tianjin
来源：
Wang, Dong (wang_dong_0832@163.com) | 1600年 / Academia Sinica卷 / 38期
基金：
中国国家自然科学基金;
关键词：
Fast multipole expansion; Inclusions; Indirect boundary element method; Multi-domain scattering; Plane SH wave;
D O I：
10.16285/j.rsm.2017.04.029
中图分类号：
学科分类号：
摘要：
By combining with the fast multipole expansion method (FMM), a fast and high precision multi-domain indirect boundary element method (IBEM) is developed for solving plane SH wave two-dimensional (2D) scattering by large-scale inclusions in the elastic half-space. Numerical results show that the FMM-IBEM can solve the problems of large-scale multi-domain scattering efficiently and accurately, and the storage capacity is also dramatically reduced. Then the rapid solution of millions degree-of-freedoms (DOFs) of plane SH wave scattering problem in the multi-domain is achieved on a personal computer. Finally, in the case of SH wave multiple scattering by inclusions with uniform distribution and random distribution in the half-space, the effects of stiffness and inclusion shape on plane SH wave scattering are investigated. Due to the multiple coherence scattering of elastic wave, the plane SH wave scattering by inclusion group is significantly different from that by single inclusion, and the characteristics of spatial distribution and displacement spectrum of the total wave field become complicated. The scattering properties of plane SH waves mainly depend on material hardness, geometric characteristics, the angle and frequency of incident wave. In addition, this study to some extent provides new techniques and theoretical basis for forward and inversion analysis of elastic wave scattering by complex inclusions in the half-space. © 2017, Science Press. All right reserved.
引用
收藏
页码：1154 / 1163
页数：9
相关论文
共 22 条
  • [1] Yuan X.-M., Effect of a circular underground inclusion on surface motion under incident plane SH waves, Acta Geologica Sinica, 39, 3, pp. 373-381, (1996)
  • [2] Shi W.-P., Liu D.-K., Song Y.-T., The anti plane Green function solution of the problem of a fixed rigid circular inclusion in right-angle plane, Chinese Journal of Solid Mechanics, 27, 2, pp. 207-212, (2006)
  • [3] Yang Z.-L., Xu H.-N., Hei B.-P., Interaction of elliptical inclusion and crack under incident SH-wave in a half-space, Journal of Vibration and Shock, 32, 11, pp. 56-61, (2013)
  • [4] Qi H., Ding X.-H., Zhang Y., Study of scattering of SH-waves by a buried elliptic inclusion near a vertical interface and ground surface vibration, Rock and Soil Mechanics, 37, 8, pp. 2151-2158, (2016)
  • [5] Dravinski M., Ground motion amplification due to elastic inclusion in a half-space, Earthquake Engineering and Structural Dynamics, 11, pp. 313-335, (1983)
  • [6] Dravinski M., Yu M.C., The effect of impedance contrast upon surface motion due to scattering of plane harmonic P, SV, and Rayleigh waves by a randomly corrugated elastic inclusion, Journal of Seismology, 17, 2, pp. 281-295, (2013)
  • [7] Liang J.-W., Zhang B.-Z., Ba Z.-N., On the effect of a lenticle in a layered site on ground motion, Earthquake Engineering and Engineering Dynamics, 29, 5, pp. 1-12, (2009)
  • [8] Heymsfield E., Two-Dimensional scattering of SH waves due to a discontinuity in bedrock, Earthquake Engineering and Structural Dynamics, 28, 8, pp. 841-855, (1999)
  • [9] Tong M.S., Chew W.C., Nyström method for elastic wave scattering by three-dimensional obstacles, Journal of Computational Physics, 226, 2, pp. 1845-1858, (2007)
  • [10] Liu Z.-X., Liang J.-W., Li F., Diffraction of plane SV waves by an inclusion in saturated poroelastic half-space, Chinese Quarterly of Mechanics, 33, 2, pp. 256-268, (2012)
123