Dynamic response of a circular tunnel buried in the half-space unsaturated soil to elastic waves

IF 2.9 3区 工程技术 Q2 MECHANICS
Yong-Hong Miao, Jian-Fei Lu
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引用次数: 0

Abstract

Based on the wave function expansion (WFE) method and expansion of the cylindrical wave into plane wave (ECPW) method, an analytical method for a circular lined tunnel embedded in the half-space unsaturated soil is developed. To develop the analytical method, the governing equations and corresponding potentials for the unsaturated soil are introduced first. The wavefield in the soil is decomposed into the free wavefield and scattered wavefield. The free wavefield in the unsaturated soil is determined by the incident waves as well as reflected waves from the surface of the soil. The scattered wavefield in the soil can be further divided into the direct and secondary scattered wavefields. The direct scattered waves due to the presence of the tunnel are cylindrical waves emitted from the tunnel, while the secondary scattered waves are the reflected waves of the direct scattered waves from the surface of the soil. To determine the secondary scattered waves for the tunnel, the ECPW method for the unsaturated half-space soil is proposed in this study. The wavefield in the tunnel lining consists of standing waves represented by Bessel functions. By using the expressions for the above wavefields, the equations for the unknown coefficients of the wavefunctions are derived. With the developed analytical method for the circular tunnel, some numerical results are presented.

Abstract Image

埋于半空间非饱和土中的圆形隧道弹性波动力响应
基于波函数展开法(WFE)和柱面波展开法(ECPW),提出了半空间非饱和土中埋置圆形衬砌隧道的解析方法。为了发展分析方法,首先介绍了非饱和土的控制方程和相应的势。将土壤中的波场分解为自由波场和散射波场。非饱和土中的自由波场是由来自土壤表面的入射波和反射波决定的。土壤中的散射波场可进一步分为直接散射波场和二次散射波场。由于隧道的存在而产生的直接散射波是从隧道中发射出来的圆柱波,而二次散射波则是直接散射波从土壤表面反射出来的波。为了确定隧道的二次散射波,本文提出了非饱和半空间土的ECPW法。隧道衬砌中的波场由贝塞尔函数表示的驻波组成。利用上述波场的表达式,导出了波函数的未知系数方程。利用所建立的圆形隧道解析方法,给出了一些数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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