Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load

Abstract

a b s t r a c tA two-dimensional elasticity analysis for steady-state axisymmetric dynamic response of an arbitrarily thick elastic homogeneous hollow cylinder of infinite length, which is imperfectly bonded to the surrounding fluid-saturated permeable formation, subject to an axially moving ring load, is presented. The problem solution is derived by using Biot's dynamic theory of poroelasticity in conjunction with double Fourier transformation with respect to time (frequency) and axial coordinate (axial wave number). The analytical results are illustrated with numerical examples in which a concrete tunnel lining of uniform wall thickness is imperfectly bonded to a surrounding water-saturated poroelastic formation of soft/stiff frame characteristic. Numerical solutions for the radial shell mid-plane and formation displacements are calculated by analytical (numerical) inversion of the Fourier transformation with respect to the frequency (axial wave number). Primary attention is focused on the influence of bonding condition at the liner/soil interface, formation material type, and load velocity on the system's dynamic response. Limiting cases are considered and good agreements with the solutions available in the literature are obtained.

Vibration Characteristics of Subway Tunnel Structure in Viscous Soil Medium

“…By substituting equation (17) into equation (18), the following continuous conditions can be obtained:…”

“…Kumar et al [15] analyzed the radial displacement field of the solid phase and fluid phase when the surface of a cylindrical tunnel in saturated porous media was subjected to time-varying loads. Hasheminejad et al [16,17] studied the dynamic stress concentration in the area around the porous wall of a cylindrical cavity in an infinite saturated elastic medium under different vibrational modes and considered the dynamic response of the cavity lining and the surrounding soil under a moving load when the lining was not fully in contact with the surrounding saturated soil. Gao et al [18] improved a 2.5-dimensional finiteelement model, and He et al [19,20] proposed a 2.5-dimensional coupled finite element-boundary element model to simulate the three-dimensional dynamic interaction between saturated soil and a tunnel.…”

The Effect of an Intermediate Inclusion in Soil on a Buried Lined Tunnel Due to a Nearby Explosion

“…The twin problem of an explosion in soil is rather obscure, due to its considerably higher complexity. The shock wave propagation in soil is rather complex [3], it strongly depends on a much more complicated constitutive model [4][5][6], the interaction of soil with the buried structure may be rather complex as well [7][8][9] and involve contact and separation.…”

Dynamic Interaction between the Raft-Superstructure and the Saturated Soil under Moving Load

“…Lu and Jeng [7] given an analytical solution for the dynamic response of a half-space porous medium subjected to a moving point load by using the Fourier transformation method. Hasheminejad and Komeili [8] analyzed the steady-state axisymmetric dynamic response of an arbitrary thick elastic homogeneous cylinder of infinite length subjected to an axially moving ring load in a poroelastic soil.…”