Dynamic interaction of two circular lined tunnels with imperfect interfaces under cylindrical P-waves

Fang, Xue-Qian; Jin, Hexin; Wang, Baolin

doi:10.1016/j.ijrmms.2015.08.016

Cited by 37 publications

(8 citation statements)

References 17 publications

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“…Hence, the need to study the seismic resistance of tunnel engineering. In order to understand and reveal the influence of seismic waves on underground structures, researchers have carried out a lot of research work on seismic wave scattering using numerical methods [4][5][6] and analytical methods [7][8][9]. Although numerical methods are more suitable for solving complex and realistic configurations, analytical solutions have inherent meaning, not only revealing the physical process of wave scattering but also serving as a benchmark for calibrating numerical results.…”

Section: Introductionmentioning

confidence: 99%

Anti-Plane Dynamics Analysis of a Circular Lined Tunnel in the Ground under Covering Layer

Chu

Zhang

et al. 2021

Symmetry

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Wave diffusion in the composite soil layer with the lined tunnel structure is often encountered in the field of seismic engineering. The wave function expansion method is an effective method for solving the wave diffusion problem. In this paper, the wave function expansion method is used to present a semi-analytical solution to the shear horizontal (SH) wave scattering problem of a circular lined tunnel under the covering soil layer. Considering the existence of the covering soil layer, the great arc assumption (that is, the curved boundary instead of the straight-line boundary) is used to construct the wavefield in the composite soil layer. Based on the wave field and boundary conditions, an infinite linear equation system is established by adding the application of complex variable functions. The finite term is intercepted and solved, and the accuracy of the solution is analyzed. Although truncation is inevitable, due to the Bessel function has better convergence, a smaller truncation coefficient can achieve mechanical accuracy. Based on numerical examples, the influence of SH wave incident frequency, soil parameters, and lining thickness on the dynamic stress concentration factor of lining is analyzed. Compared with the SH wave scattering problem by lining in a single medium half-space, due to the existence of the cover layer and the influence of its stiffness, the dynamic stress of the lining can be increased or inhibited. In addition, the lining thickness has obvious different effects on the dynamic stress concentration coefficient of the inner and outer walls of different materials.

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Section: Introductionmentioning

confidence: 99%

Anti-Plane Dynamics Analysis of a Circular Lined Tunnel in the Ground under Covering Layer

Chu

Zhang

et al. 2021

Symmetry

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“…To simplify the analysis and calculation, the fibers/particulates are generally assumed to be perfectly bonded to the surrounding matrix [1][2][3][4]. However, this is not always the case, which has consequently led to the increased research effort to take the bonding conditions into account [5][6][7][8][9][10][11][12][13][14][15][16]. Among them, the debonding case [9][10][11][12][13][16][17][18], which is assumed to be a crack with noncontacting faces, has been well investigated.…”

Section: Introductionmentioning

confidence: 99%

“…The spring model has also been used to study the influence of the imperfect bonding effect on the behaviors of the underground tunnels under various dynamic loadings [15,24,29,30].…”

Section: Introductionmentioning

confidence: 99%

Study on the Single Scattering of Elastic Waves by a Cylindrical Fiber with a Partially Imperfect Bonding Using the Collocation Point Method

Zhang

Zeng

et al. 2018

Shock and Vibration

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The single scattering of P-and SV-waves by a cylindrical fiber with a partially imperfect bonding to the surrounding matrix is investigated, which benefits the characterization of the behavior of elastic waves in composite materials. The imperfect interface is modelled by the spring model. To solve the corresponding single scattering problem, a collocation point (CP) method is introduced. Based on this method, influence of various aspects of the imperfect interface on the scattering of P-and SV-waves is studied. Results indicate that (i) the total scattering cross section (SCS) is almost symmetric about the axis = /2 with respect to the location ( ) of the imperfect interface, (ii) imperfect interfaces located at = 0 and = highly reduce the total SCS under a P-wave incidence and imperfect interfaces located at = /2 reduce the total SCS most significantly under SV-incidence, and (iii) under a P-wave incidence the SCS has a high sensitivity to the bonding level of imperfect interfaces when is small, while it becomes more sensitive to the bonding level when is larger under SV-wave incidence.

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“…In order to reduce the dynamic stress around the tunnels, some other interface models were also proposed. A semianalytical method was used to characterize the interacting effects of spring-type interfaces around two circular lined tunnels under cylindrical P-waves [9]. Yi et al also used the spring model to simulate the imperfect interface condition between the tunnel and the rock mass, and the imperfect interface effect on the dynamic stress was evaluated [10].…”

Section: Introductionmentioning

confidence: 99%

Visco-elastic imperfect bonding effect on dynamic response of a non-circular lined tunnel subjected to P and SV waves

Fang

Jin

2016

Soil Dynamics and Earthquake Engineering

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Dynamic interaction of two circular lined tunnels with imperfect interfaces under cylindrical P-waves

Cited by 37 publications

References 17 publications

Anti-Plane Dynamics Analysis of a Circular Lined Tunnel in the Ground under Covering Layer

Anti-Plane Dynamics Analysis of a Circular Lined Tunnel in the Ground under Covering Layer

Study on the Single Scattering of Elastic Waves by a Cylindrical Fiber with a Partially Imperfect Bonding Using the Collocation Point Method

Visco-elastic imperfect bonding effect on dynamic response of a non-circular lined tunnel subjected to P and SV waves

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