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首页> 外文期刊>Engineering analysis with boundary elements >Dynamic 2.5-D Green's function for a point load or a point fluid source in a layered poroelastic half-space
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Dynamic 2.5-D Green's function for a point load or a point fluid source in a layered poroelastic half-space

机译：分层多孔弹性半空间中的点载荷或点流体源的动态2.5-D Green功能

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摘要

The complete dynamic two-and-a-half-dimensional (2.5-D) Green's function for an internal point load or fluid source buried in a layered poroelastic half-space is derived and applied to the 2.5-D boundary element method (BEM) in this paper. Based on Biot's theory, the general solutions are derived using the potential decomposition method and the Fourier transform. Utilizing the boundary conditions of the free surface, interfaces and bottom half-space, as well as the general solutions, the complete 2.5-D Green's function for a layered poroelastic half-space is obtained using the transmission and reflection matrix (TRM) method. The solutions presented in this paper are free of numerical instability for the high frequency and large layer thickness. The proposed 2.5-D Green's function is verified by comparison with the existing solutions. A case study of calculating vibrations from a semi-circular tunnel embedded in a layered poroelastic half-space is presented using the 2.5-D BEM along with the proposed 2.5-D Green's function. The layer interfaces and the surface of the poroelastic half-space no longer have to be meshed, avoiding spurious reflections at mesh truncations. The boundary element mesh can be limited to the surface of the tunnel, significantly reducing the size of the boundary element mesh.
机译：推导了埋入层状多孔弹性半空间中的内部点载荷或流体源的完整动态半二维（2.5-D）Green函数，并将其应用于2.5D边界元方法（BEM）在本文中。根据毕奥特的理论，使用势能分解法和傅立叶变换推导了一般解。利用自由表面，界面和底部半空间的边界条件以及一般解决方案，使用透射和反射矩阵（TRM）方法获得了层状多孔弹性半空间的完整2.5D Green函数。本文提出的解决方案对于高频和较大的层厚没有数值不稳定性。通过与现有解决方案进行比较，可以验证所提出的2.5D Green功能。结合2.5D BEM和拟议的2.5D Green函数，提出了一个计算从埋入层状多孔弹性半空间的半圆形隧道振动的案例研究。层界面和多孔弹性半空间的表面不再需要网格化，从而避免了在网格截断处的虚假反射。边界单元网格可以限制在隧道的表面，从而显着减小边界单元网格的大小。

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  • 来源
    《Engineering analysis with boundary elements》 |2017年第4期|123-137|共15页
  • 作者

    Chao He; Shunhua Zhou; Peijun Guo; Honggui Di; Junhua Xiao;

  • 作者单位

    Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;

    Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;

    Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China,Department of Civil Engineering, McMaster University, Hamilton, ON, Canada L8S 4L7;

    Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;

    Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    2.5-D Green's function; 2.5-D boundary element method; Saturated porous media; Layered half-space; Transmission and reflection matrix method; Fourier transform;

    机译：2.5-D Green的功能;2.5-D边界元法;饱和多孔介质;分层的半空间;透射和反射矩阵法;傅里叶变换;

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