Elastic analysis of stress–displacement field for a lined circular tunnel at great depth due to ground loads and internal pressure

Li, Shucai; Ming-bin, Wang

doi:10.1016/j.tust.2007.11.004

Cited by 55 publications

(9 citation statements)

References 14 publications

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“…e design of the frozen wall is one of critical technologies in this method, and the analysis of the mechanics is the foundation of this technology. Although the mechanical model of a frozen wall in a uniform ground stress field is fully developed [8][9][10][11][12][13][14][15], many underground structures, such as tunnels, subways, and inclined and vertical shafts in bedrock, are built in zones of uneven earth pressure [16][17][18][19]. To study such underground structures, three types of mechanical models have been developed: the loading model for homogeneous frozen walls [3,20], the loading model for inhomogeneous frozen walls considering the radial variation of temperature, and the homogeneous unloading model considering excavation unloading and the interaction between the homogeneous frozen wall and surrounding rock [21,22].…”

Section: Introductionmentioning

confidence: 99%

Elastic Analysis of Nonhomogeneous Frozen Wall under Nonaxisymmetric Ground Stress Field and in State of Unloading

Zhang

Wang

2018

Advances in Materials Science and Engineering

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The mechanical analysis of frozen walls is a cornerstone technology of artificially frozen ground. The mechanical response of frozen walls is affected by heterogeneity, excavation unloading, uneven ground pressure, and the characteristics of surrounding rock. However, these factors are rarely taken into full consideration in existing analysis models. To address this shortfall, this study presents a plane-strain model that considers the inhomogeneity of frozen walls, the unloaded state of the frozen-wall inner edge, and the nonuniform ground stress field (abbreviated as “IF model”). The solution of the IF model is based on the superposition of thin concentric cylinders under two types of contact conditions: complete contact and smooth contact, and its validity is tested by a finite-element calculation. The calculation indicates that the excavation reduces the radial force and increases the tangential force between the frozen wall and the surrounding earth mass; the ground principal stress is rotated after the excavation. If the radial unloading equals the tangential unloading at the inner edge of the frozen wall, the response of the radial stress differs from that of the tangential stress at the outer edge of the frozen wall. The circumferential stress and the radial displacement at the inner edge correlate linearly with the nonuniform coefficient of the ground press and the unloading ratio. If the nonuniform coefficient is relatively small, the inner edge of the frozen wall may incur tensile damage. Compared with the model of a homogeneous frozen wall (abbreviated as “HF model”), which has a uniform temperature distribution, the absolute value of the circumferential stress is lower (higher) for the IF model where the temperature is above (below) average. When the frozen wall is relatively thick, the circumferential stress of the inner edge of the frozen wall is lower for the IF model than for the HF model. The percent reduction is 8.12%∼9.32% for rock freezing and 13.41%∼18.03% for soil freezing. The IF model proposed herein thus reflects the characteristics of frozen walls and surrounding rock more clearly and accurately than the HF model and obtains stress states closer to the reality. Therefore, the IF model is recommended for the design and construction of frozen walls.

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Section: Introductionmentioning

confidence: 99%

Elastic Analysis of Nonhomogeneous Frozen Wall under Nonaxisymmetric Ground Stress Field and in State of Unloading

Zhang

Wang

2018

Advances in Materials Science and Engineering

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“…A correction factor was adopted for improving the accuracy of the CVM [10]. Single tunnels with liner by considering the stress continuity and deformation compatibility were investigated [11][12][13][14][15]. The cover cracking on a bar at great depth due to corrosion and uniform stresses at infinity using the CVM was investigated [16].…”

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth

Lin

Chen

2018

Mathematical Problems in Engineering

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In this study, an analytical solution for the stress and displacement field for arbitrarily positioned twin-tunnel excavation at great depth is proposed. The twin-tunnel is subjected to equivalent loads on the tunnel periphery and uniform loads at infinity. The analytical continuation of the complex variable method is used for stress “stair”, owing to the equivalent loads of the tunnel support. Subsequently, the Schwarz alternating method and Cauchy integral formula are used. The redundant surface forces on the periphery are expanded into Laurent series in the sequence of iterations, and a reasonable series truncation is adopted. Comparing with several existing solutions covering special cases from different perspectives, it is found that the proposed solution meets accuracy requirements for tunnel center distance greater than 2.2 times tunnel radius after 1.5 iterations. The proposed solution is fast and yields reference value to tunnel engineering.

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“…It has been of high interest for determining the stress distribution in the liner and rock medium under static overburden and dynamic loadings. The analytical methods including the wave function expansion [5][6][7][8] and the series expansion techniques 9 have been widely used to simulate the displacement potentials around the circular tunnels embedded in the rock medium. By using wave function expansion method, the seismic dynamic response of piecewise liners embedded in the porous medium was investigated 5 .…”

Section: Introductionmentioning

confidence: 99%

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

Fang

Jin

Wang

2015

International Journal of Rock Mechanics and Mining Sciences

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Elastic analysis of stress–displacement field for a lined circular tunnel at great depth due to ground loads and internal pressure

Cited by 55 publications

References 14 publications

Elastic Analysis of Nonhomogeneous Frozen Wall under Nonaxisymmetric Ground Stress Field and in State of Unloading

Elastic Analysis of Nonhomogeneous Frozen Wall under Nonaxisymmetric Ground Stress Field and in State of Unloading

An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth

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

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