Elastic-slip interface effect on dynamic response of a lined tunnel in a semi-infinite alluvial valley under SH waves

Fang, Xue-Qian; Zhang, Tengfei; Li, Haiyan

doi:10.1016/j.tust.2018.01.008

Cited by 18 publications

(5 citation statements)

References 21 publications

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“…Substituting equation (2) into (1), two wave equations are obtained The Laplace transforms is defined as…”

Section: Statement Of Problemmentioning

confidence: 99%

“…They concluded that the viscosity has a small influence on the dynamic stress in high frequency areas compared to low frequency areas. Fang et al [2] analyzed the dynamic stress distribution around a circular tunnel subjected to SH waves. Using an elastic slip interface to represent the contact between the alluvial valley and the lined tunnel, they found that the dynamic stress increases when the elastic modulus of the tunnel lining increases, and that the interface effect decreases for larger dimension tunnels.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transient Response of a Tunnel Embedded in a Heterogeneous Elastic Full Space

Bouaré¹,

Mesgouez²,

Lefeuve-Mesgouez³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…Substituting equation (2) into (1), two wave equations are obtained The Laplace transforms is defined as…”

Section: Statement Of Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transient Response of a Tunnel Embedded in a Heterogeneous Elastic Full Space

Bouaré¹,

Mesgouez²,

Lefeuve-Mesgouez³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…The second one is an elastic slip interface. They are proposed by Fang and Jin (2016) [3] and Fang et al (2018) [4]. In this proposal, we use another model developed by Achenbach and Zhu (1989) [2].…”

Section: Boundary and Interface Conditionsmentioning

confidence: 99%

“…They conclude that the viscosity has a small influence on the dynamic stress in high frequency areas compared to low frequency areas. Fang et al (2018) [4] analyze the dynamic stress distribution around a circular tunnel subjected to SH waves. Using an elastic slip interface to represent the contact between the alluvial valley and the lined tunnel, they find that the dynamic stress increases when the elastic modulus of the tunnel lining increases, and that the interface effect decreases when larger dimension tunnels are employed.…”

Section: Introductionmentioning

confidence: 99%

Contribution to the modeling and the mechanical characterization of the subsoil in the LSBB environment

2019

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The present research work aims at better characterizing the specific underground environment of the LSBB (Low Noise Inter-Disciplinary Underground Science and Technology, Rustrel, France) using mechanical wave propagation information. The LSBB experimental environment is characterized by a system of cylindrical galleries, some of them presenting a concrete layer. In the global project, three steps are considered : firstly the construction of an efficient forward mechanical wave propagation model to calculate the displacement vector and stress tensor components; secondly a sensitivity analysis to extract the pertinent parameters in the configurations and models under study (viscoelastic or poroviscoelastic media with potential anisotropy); and lastly an inversion strategy to recover some of the pertinent parameters. In this proposal, the first step, under progress, is described. The work carried out is in the continuity of the work presented by Yi et al. (2016) [1] who studied the harmonic response of a cylindrical elastic tunnel, impacted by a plane compressional wave, embedded in an infinite elastic ground. The interface between the rock mass and the linen is an imperfect contact modeled with two spring parameters, Achenbach and Zhu (1989) [2]. We choose a semi-analytical approach to calculate the two-dimensional displacement and stress fields in order to get a fast tool, from the numerical point of view. The main steps of the theoretical approach are : use of the Helmholtz decomposition, solving the wave equation based on the separation method and the expansion in Bessel function series in the harmonic domain. The harmonic results are validated by comparison with Yi et al. (2016) [1] and new ones are presented. Moreover, the transient regime case obtained with the use of a Fourier transform on the time variable, is under progress.

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“…Yi et al [29] presented an analytical solution to the out-of-plane dynamic response of a shallow tunnel lining under the action of a plane SH wave including interface contact sti ness, incident angle, wave frequency, and tunnel depth as these factors a ect the dynamic stress concentration of the lining. Fang et al [30] investigated a lined tunnel in a semi-in nite alluvial valley with an elasticslip interface and analyzed the dynamic stress distribution around the circular tunnel subjected to SH waves.…”

Section: Introductionmentioning

confidence: 99%

IBIEM Analysis of Dynamic Response of a Shallowly Buried Lined Tunnel Based on Viscous‐Slip Interface Model

Zhou

Liang

Liu

et al. 2019

Advances in Civil Engineering

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A viscous-slip interface model is proposed to simulate the contact state between a tunnel lining structure and the surrounding rock. The boundary integral equation method is adopted to solve the scattering of the plane SV wave by a tunnel lining in an elastic half-space. We place special emphasis on the dynamic stress concentration of the lining and the amplification effect on the surface displacement near the tunnel. Scattered waves in the lining and half-space are constructed using the fictitious wave sources close to the lining surfaces based on Green’s functions of cylindrical expansion and the shear wave source. The magnitudes of the fictitious wave sources are determined by viscous-slip boundary conditions, and then the total response is obtained by superposition of the free and scattered fields. The slip stiffness and viscosity coefficients at the lining-surrounding rock interface have a significant influence on the dynamic stress distribution and the nearby surface displacement response in the tunnel lining. Their influence is controlled by the incident wave frequency and angle. The hoop stress increases gradually in the inner wall of the lining as sliding stiffness increases under a low-frequency incident wave. In the high-frequency resonance frequency band, where incident wave frequency is consistent with the natural frequency of the soil column above the tunnel, the dynamic stress concentration effect is more significant when it is smaller. The dynamic stress concentration factor inside the lining decreases gradually as the viscosity coefficient increases. The spatial distribution and the displacement amplitudes of surface displacement near the tunnel change as incident wave frequency and angle increase. The effective dynamic analysis of the underground structure under an actual strong dynamic load should consider the slip effect at the lining-surrounding rock interface.

show abstract

Elastic-slip interface effect on dynamic response of a lined tunnel in a semi-infinite alluvial valley under SH waves

Cited by 18 publications

References 21 publications

Transient Response of a Tunnel Embedded in a Heterogeneous Elastic Full Space

Transient Response of a Tunnel Embedded in a Heterogeneous Elastic Full Space

Contribution to the modeling and the mechanical characterization of the subsoil in the LSBB environment

IBIEM Analysis of Dynamic Response of a Shallowly Buried Lined Tunnel Based on Viscous‐Slip Interface Model

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