Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels

Han, Xingbo; Xia, Yunfeng; Wang, Xing; Chai, Lunlei

doi:10.1155/2018/2037845

Cited by 7 publications

(5 citation statements)

References 19 publications

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“…In terms of theoretical research, numerous studies have been conducted on the viscoelastic and viscoplastic solutions of stress and displacement after excavation for rheological rock masses (Sulem et al 1987;Bobet et al 2006;Fritz et al 2010;Han et al 2018;Gao et al 2021). However, few theoretical studies considered the addition of anchors to creep rock masses (Oreste et al 2003;Park et al 2006;Fahimifar et al 2010;Nomikos et al 2011), especially considering the coupling between the creep of rock masses and the anchoring forces of prestressed anchor cables.…”

Section: Introductionmentioning

confidence: 99%

Coupled analytical solutions for high slopes considering rock creep effects and changes of anchoring force in prestressed cables

Yang

Wang

Liu

et al. 2022

Preprint

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The unloading effects induced by rock excavation on high slopes are significant, and prestressed anchor cable is an effective reinforcement method for high slope safety. In this work, we consider the interaction between rock creep in high slopes and the changing anchoring force of prestressed cables. We then derive theoretical solutions for the unloading rock creep and anchoring force of prestressed cables considering the coupling effect, and verify the solutions using numerical simulation. First, based on the Boussinesq problem in elastic mechanics, we simplify the problem of slope reinforcement with a single prestressed anchor cable to the problem of concentrated force acting on a boundary of a semi-infinite medium. The concentrated force is affected by the excavation unloading effect from the slope and the anchoring forces from the anchor cables. Based on this simplification, we derive elastic solutions for the slope unloading displacement after excavation and for the anchoring force of prestressed cables. Second, considering rock creep behavior and varying anchoring force, Burgers model is used for rock masses and elastic model is used for anchor cables. According to the coordinated deformation between rock masses and anchor cables, we obtain the analytical solutions for the rock displacement and for the anchoring force of the cables under the coupling action in the Laplace space, based on which the viscoelastic solutions for rock displacement and for anchoring force considering the coupling effect are solved by the Laplace inverse transform. Finally, we validate the analytical solutions by comparing against numerical simulation results with FLAC3D. A good agreement is achieved, suggesting the fidelity of the analytical solutions. The theoretical model provides a reference for studying slope reinforcement, analyzing slope rock creep behavior and the long-term prestress of the reinforcement structure.

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Section: Introductionmentioning

confidence: 99%

Coupled analytical solutions for high slopes considering rock creep effects and changes of anchoring force in prestressed cables

Yang

Wang

Liu

et al. 2022

Preprint

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show abstract

“…Although there have been extensive studies on the buckling stability of arched components [25][26][27][28][29], few studies have explored the analytical solution of the internal force of the segment with the influence of joints. To be close to reality, a spring was used in the model studied in this paper to simulate the effect of the joint on the segment component.…”

Section: Introductionmentioning

confidence: 99%

Study on Internal Force of Tunnel Segment by Considering the Influence of Joints

Dong

Yang

Wang

et al. 2020

Advances in Materials Science and Engineering

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The mechanical performance of segments is an important aspect of the safety of tunnel structures. Study on the internal force of tunnel segment by considering the influence of joints is beneficial for obtaining a better understanding of the influence of various factors on the internal force of the segments. Based on the mechanical characteristics of shield segment joints, in which the displacements and stiffness are discontinuous, a mechanical model of the segment component under the constraints of elastic support was established. The elastic centre method and the principle of superposition were used to quantify the influence of joint displacements on the internal force of the segment component. Combined with a practical engineering application, the internal force of the segment component with joint rotation and dislocation was analysed. The displacements of the segment joints cause an unloading effect of the corresponding internal force of the joints, leading to internal force redistribution of each segment cross section. According to the spline interpolation results of the load test data of the segment joints, the internal force of the segment component under an external load is solved by the iterative method.

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“…Terzaghi [1] proposed an explanation of the roof arch and the formation mechanism of the ground arch with the loosened ground zone on account of the tunnel construction. Research in this area has included numerical simulations [2][3][4][5][6], theoretical analyses [6][7][8][9], and experimental tests [10,11].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Compressibility Effect of Overburden in a Deep Shield Tunnel Based on the Effect of the Pressure Arch

Lei

Han

et al. 2019

Advances in Civil Engineering

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With the continuous improvement of the planning system for urban subway construction, shield tunnels are being more frequently constructed, and thus, the floating problem of shield tunnels in construction has been paid increasingly more attention. In view of this, in this paper, with the combination of numerical simulation and theoretical analysis, the problem of floating segments compressing the overburden in the deep shield tunnel is discussed. The influential factors of the pressure arch effect are analysed using numerical simulation, the compressive displacement of soil in the plastic zone is investigated in a focused manner based on the pressure arch effect, and the problem of floating segments that the Mindlin solution is applied to under the actions of distributed force and concentrated force is solved. The results show the following: (1) the displacement of the segment is composed of the shield tail gap, the compressive displacement of the soil, and the translational displacement of the soil; (2) the intensity of the pressure arch effect is interactively influenced by the thickness-diameter ratio and the soil properties; (3) the compressive displacement of the soil mass accounts for a larger proportion of floating segment-induced displacements; and (4) the perturbation influence calculation formula of the surrounding strata and the building structure is obtained based on the Mindlin solution.

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Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels

Cited by 7 publications

References 19 publications

Coupled analytical solutions for high slopes considering rock creep effects and changes of anchoring force in prestressed cables

Coupled analytical solutions for high slopes considering rock creep effects and changes of anchoring force in prestressed cables

Study on Internal Force of Tunnel Segment by Considering the Influence of Joints

Analysis of the Compressibility Effect of Overburden in a Deep Shield Tunnel Based on the Effect of the Pressure Arch

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