Analytical solutions and in-situ measurements on the internal forces of segmental lining produced in the assembling process

Liu, Mengbo; Liao, Shaoming; Jiang, Xu; Men, Yanqing

doi:10.1016/j.trgeo.2020.100478

Cited by 13 publications

(5 citation statements)

References 16 publications

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“…Then, by substituting Formulas ( 9)- (11) into Formula (8), the lining's internal force can be obtained when water is delivered under pressure. The formula is as follows:…”

Section: Pressurized Water Conveyancementioning

confidence: 99%

“…With the emergence of large-diameter and deep tunnels, the traditional design method will certainly impact the internal force calculation because it does not consider the pre-deformation and assembly errors in the segment assembly process. Liu et al [11] deduced an analytical solution to calculate the internal force of shield lining by assuming the assembly error of bolt holes and the pre-deformation of lining and using the principle of minimum potential energy.…”

Section: Introductionmentioning

confidence: 99%

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Study on the Influence of Internal Water Pressure on the Internal Force of Circular Hydraulic Tunnel Lining

Zhu

Cheng

2022

Applied Sciences

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The internal water pressure condition influences the internal force of the circular hydraulic tunnel lining. However, calculating the lining’s internal force of this type of tunnel still lacks practical theory. Based on the modified routine method and the theory of structural mechanics, the internal stress model of the tunnel section is established in this paper. The general calculation formula of lining internal force is deduced by considering arbitrary water level height and different water conveyance pressures. The formula is used to calculate the internal force of the lining under the action of internal water pressure and the influence laws of water level height and water conveyance pressure are explored, respectively. In addition, case analysis was carried out for several typical projects. The results show that the maximum internal force of the lining increases with the increase of water pressure and inner radius and the maximum internal force is in a fixed special position when the water is conveyed under pressure. When the water is conveyed without pressure, the internal force of the lining will increase with the increased water level. However, the maximum bending moment and axial force will reduce at the special water level. This calculation theory considering different working conditions of internal water pressure solves the calculation problem of the internal force of a circular hydraulic tunnel. It improves the design theory of tunnel structure and provides a theoretical basis for this type of tunnel’s structural design and safe operation.

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“…Then, by substituting Formulas ( 9)- (11) into Formula (8), the lining's internal force can be obtained when water is delivered under pressure. The formula is as follows:…”

Section: Pressurized Water Conveyancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on the Influence of Internal Water Pressure on the Internal Force of Circular Hydraulic Tunnel Lining

Zhu

Cheng

2022

Applied Sciences

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“…By substituting Equations ( 8)- (10) into Equations ( 11) and (12), it becomes a g 2 = −(1 − k)P/4 and b g 2 = 0. Thus, the stress function for the ground soil in the deviatoric condition is:…”

Section: Stress and Displacement Of The Ground Soilmentioning

confidence: 99%

“…Although powerful numerical simulations can handle such issues these days, a theoretical analysis can still serve as a useful and effective methodology for simplifying such problems and allowing a quick, explicit, and simple parametric investigation to be conducted not only for researchers but also for engineers [11]. Furthermore, analytical solutions can provide a greater fundamental understanding of the essential issues for complicated engineering problems, which can be helpful in identifying aspects for more comprehensive research [12]. Thus, a closed-form analytical solution for circular tunnels strengthened by steel plates is required and would be of great value.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Steel Plate Strengthened Circular Tunnels with Various Interface Slip Modes

et al. 2022

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A simplified analytical solution for steel plate strengthened circular tunnel concrete linings is presented, considering various interface slip modes. The full derivation for the analytical solution is introduced in detail, from which explicit expressions for the stress and displacement fields throughout the system are obtained. The distribution of lining deformation, internal force, and the interaction stress between tunnel lining and steel plate were investigated by considering various tunnel-steel interface scenarios, namely no slip, full slip, and elastic slip. The result demonstrates the importance of having a well-bonded interface to maximize the benefits of the steel plate strengthening approach. The maximum interface shear stress locates at the position with minimum interface normal stress. Subsequently, the influence of interface shear stiffness and steel plate thickness on the composited tunnel lining performance was investigated. It is founded that the improvement of the interface shear stiffness can enhance the overall structural stiffness of the strengthened tunnel lining, which results in increases in the interaction stresses and lining forces simultaneously. With a ratio of the steel thickness to the tunnel lining thickness less than 0.1, greater achievement in both strengthening effectiveness and cost efficiency is obtained.

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“…These U-shaped cracks occur when adjacent segments are not aligned with each other due to the rotation, which may lead to compression between segments and the compression of the bolt rod against the bolt hole (Chen and Mo, 2009). Besides small shield tail clearance, improper shield posture, poor assembly quality and change in the longitudinal slope of the tunnel can also lead to cracks in the segment linings, despite the fact that it is still not clear which kind of cracks are subjected to these causes (Mo and Chen, 2008;Cavalaro, 2009;Yang et al, 2018;Ahmadi and Molladavoodi, 2019;Liu et al, 2020;Dai et al, 2022). Macroscopic or microscopic experimental tests, deep learning-based method, and numerical simulations are effective approaches to investigate the cracks (Liu et al, 2023b;Gao et al, 2023;Liu and Li, 2023).…”

Section: Introductionmentioning

confidence: 99%

Statistical and numerical analysis on characteristics and influence factors of construction cracks of large-diameter underwater shield tunnel: a case study

et al. 2023

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Tunnel excavation is prone to segment cracks, which may lead to serious safety accidents. This work aims to investigate the type, location and occurrence time of cracks in a large-diameter underwater shield tunnel and also ascertain the causes of the cracks. The correlations between crack characteristics and shield tunneling parameters were analyzed. The effect of jack deflection and poor assembly on cracks were investigated using a refined finite element model of two consecutive rings with consideration of the assembly clearance and the constraint effect of the shield machine. The results confirmed that 93% of the cracks were formed between the current ring and the last ring jacking stage. Positive cracks induced by jack deflection occurred during the current ring jacking stage, while the lengths of the cracks, proportional to the constraint of the boring machine on the segments, remained constant during the subsequent construction process. The cracks caused by poor assembly quality arose during the current and next ring jacking stages. Furthermore, the cracks generated in the current ring jacking stage would propagate during the subsequent construction process. The type, length, and number of cracks were influenced by the assembly clearance. The inverted V-shape longitudinal joints caused more cracks than any other assembly defects. The finding of this study results and conclusions are expected to contribute to the reduction of cracks at the jacking stage of the large-diameter underwater shield tunnels with eccentricity force transfer platforms.

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Analytical solutions and in-situ measurements on the internal forces of segmental lining produced in the assembling process

Cited by 13 publications

References 16 publications

Study on the Influence of Internal Water Pressure on the Internal Force of Circular Hydraulic Tunnel Lining

Study on the Influence of Internal Water Pressure on the Internal Force of Circular Hydraulic Tunnel Lining

An Analytical Solution for Steel Plate Strengthened Circular Tunnels with Various Interface Slip Modes

Statistical and numerical analysis on characteristics and influence factors of construction cracks of large-diameter underwater shield tunnel: a case study

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