Dynamic response of a layered water-saturated half space to a moving load
Dynamic response of a layered water-saturated half space to a moving load
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DOI：
10.1016/j.compgeo.2007.03.005
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发表时间：
2008
影响因子：
5.3
通讯作者：
Bin Xu;Jian-Fei Lu;Jian-Hua Wang
中科院分区：
文献类型：
--
作者：
Bin Xu;Jian-Fei Lu;Jian-Hua Wang
本文发展了移动荷载作用下层状多孔弹性半空间的透射反射矩阵法。从毕奥理论的控制方程出发，应用三重傅立叶变换，导出了位移、应力和孔隙水压力的通解。利用各层之间的连续性条件和半空间表面的边界条件，通过透射和反射矩阵（TRM）方法建立位移、孔隙水压力和应力的变换域解。通过对频率和水平波数进行傅里叶逆变换，得到了时空域的数值结果。最后给出了数值算例和相应的分析。数值结果表明，层状半空间中软弱夹层的出现将使层状半空间的竖向位移和孔隙水压力增大。此外，较软的中间层的存在往往使层状半空间的响应表现出更多的振荡性质。
The transmission and reflection matrices (TRM) method for a layered poroelastic half space subjected to moving loads is developed in this study. Applying the triple Fourier transformation, the general solutions for the displacements, the stresses and the pore pressure are derived from the governing equations of Biot’s theory. Utilizing the continuity conditions between each layer and the boundary conditions at the half space surface, the transformed domain solutions for the displacements, the pore pressures and the stresses are established by the transmission and reflection matrices (TRM) method. Numerical results in the time–space domain are obtained by performing the inverse Fourier transform with respect to frequency and the horizontal wavenumbers. Moreover, some numerical examples and corresponding analysis are presented in the paper. Numerical results show that the occurrence of a softer middle layer in the layered half space will enhance the vertical displacement and the pore pressure of the layered half space. Besides, the presence of a softer middle layer tends to make the response of the layered half space exhibit more oscillatory nature.