An IBEM solution to the scattering of plane SH-waves by a lined tunnel in elastic wedge space

Abstract

The indirect boundary element method (IBEM) is developed to solve the scattering of plane SH-waves by a lined tunnel in elastic wedge space. According to the theory of single-layer potential, the scattered-wave field can be constructed by applying virtual uniform loads on the surface of lined tunnel and the nearby wedge surface. The densities of virtual loads can be solved by establishing equations through the continuity conditions on the interface and zero-traction conditions on free surfaces. The total wave field is obtained by the superposition of free field and scattered-wave field in elastic wedge space. Numerical results indicate that the IBEM can solve the diffraction of elastic wave in elastic wedge space accurately and efficiently. The wave motion feature strongly depends on the wedge angle, the angle of incidence, incident frequency, the location of lined tunnel, and material parameters. The waves interference and amplification effect around the tunnel in wedge space is more significant, causing the dynamic stress concentration factor on rigid tunnel and the displacement amplitude of flexible tunnel up to 50.0 and 17.0, respectively, more than double that of the case of half-space. Hence, considerable attention should be paid to seismic resistant or anti-explosion design of the tunnel built on a slope or hillside.

Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole

“…Ping et al [22] analyzed the mechanical stress at the tip of a wedge combination based on a new finite element method. Based on the theory of single-layer potential and boundary element method, Liu et al [23,24] solved the scattering problem of the SH-wave by creating circular holes and linings in an elastic wedge space. Mieczkowski et al [25] conducted finite element modeling of a wedge structure and analyzed the singular stress field at the sharp corner.…”

Seismic ground response by twin lined tunnels with different cross sections

“…In another study, Panji et al [48] analyzed the stability of shallow tunnels subjected to eccentric loads. Manolis and Beskos [39], 35], Kattis et al [31], and Liu and Liu [37] presented their researches in the transformed domain. In the time domain, studies of Takemia and Fujiwara [78] and Kamalian et al [30] can be addressed as well.…”