2D and 3D limit analysis of progressive collapse mechanism for deep-buried tunnels under the condition of varying water table

Qin, Changbing; Chian, Siau Chen; Yang, Xiaoli; Du, Dianchun

doi:10.1016/j.ijrmms.2015.09.024

Cited by 35 publications

(14 citation statements)

References 18 publications

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“…The explicit failure surfaces of circular tunnel profiles can be drawn according to the analytical solutions of velocity discontinuity surfaces ( ) and ( ) which are shown as (30) and (33). According to the failure mechanism proposed by Qin et al [40], the strength parameters are considered to be the same with ignoring the pore water effect made by the underground water. If the water level is under the line of the center of the tunnel, 0 → 1, the whole collapse mode is saturated in solely dry rock layer.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Functional Catastrophe Analysis of Collapse Mechanism for Shallow Tunnels with Considering Settlement

Zhang

Xiao

2016

Mathematical Problems in Engineering

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Limit analysis is a practical and meaningful method to predict the stability of geomechanical properties. This work investigates the pore water effect on new collapse mechanisms and possible collapsing block shapes of shallow tunnels with considering the effects of surface settlement. The analysis is performed within the framework of upper bound theorem. Furthermore, the NL nonlinear failure criterion is used to examine the influence of different factors on the collapsing shape and the minimum supporting pressure in shallow tunnels. Analytical solutions derived by functional catastrophe theory for the two different shape curves which describe the distinct characteristics of falling blocks up and down the water level are obtained by virtual work equations under the variational principle. By considering that the mechanical properties of soil are not affected by the presence of underground water, the strength parameters in NL failure criterion can be taken to be the same under and above the water table. According to the numerical results in this work, the influences on the size of collapsing block different parameters have are presented in the tables and the upper bounds on the loads required to resist collapse are derived and illustrated in the form of supporting forces graphs that account for the variation of the embedded depth and other factors.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Functional Catastrophe Analysis of Collapse Mechanism for Shallow Tunnels with Considering Settlement

Zhang

Xiao

2016

Mathematical Problems in Engineering

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“…Chen [22] introduced the limit analysis theory in 1975, which includes upper and lower bound theorem. Then, the limit analysis theory was adopted to investigate geotechnical engineering problems because of its accuracy and convenience, especially for the upper bound theorem [9,[15][16][17][18][19][20][21]23]. According to Chen, the upper bound theorem can be formulated as: the energy dissipated by the external loads being equated to the energy dissipated by any kinematically admissible velocity field to determine a rigorous upper bound on the true limit load while satisfying the velocity boundary conditions, the plastic flue rule, and compatibility.…”

Section: Upper Bound Theorem Of Limit Analysismentioning

confidence: 99%

“…However, the kinematics of tunnel collapse were not considered in these studies, which does not reflect actual tunnel collapse mechanisms, and these methods are particularly difficult to use widely in practical engineering. Despite the regular application of experimental and numerical methods in geotechnical engineering, the limit analysis theorem is often used to investigate the collapse of tunnels (e.g., traffic tunnels) due to its extraordinary advantages, including obtaining more accurate results by reducing assumptions and calculations [9][10][11][12]. Innovatively, Fraldi and Guarracino [13,14] identified a collapse mechanism of cavities and tunnels which can be used to obtain analytical results based on the upper bound theorem and the nonlinear Hoek-Brown yield criterion.…”

Section: Introductionmentioning

confidence: 99%

Limit Analysis of Progressive Asymmetrical Collapse Failure of Tunnels in Inclined Rock Stratum

2019

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Tunnels commonly pass through inclined rock stratum, but research on the collapse of the rock surrounding the tunnels in inclined rock strata is currently underdeveloped. The purpose of this study was to predict the progressive asymmetrical collapse failure of deep-buried tunnels in inclined rock strata to decrease the risk of collapse during tunnel construction. We constructed a new two-dimensional progressive asymmetrical collapse failure mechanism for deep-buried tunnels in inclined rock layers to analyze their collapse failure characteristics with the help of the nonlinear Hoek–Brown yield criterion and the limit analysis theorem. The calculation equations of the range and total weight of the asymmetrical collapsing block in rectangular and circular tunnels were obtained via theoretical derivation. The validity of the proposed method in this work was verified by comparison with existing research. To discuss the impact of different parameters on the range and total weight of an asymmetrical collapsing block of the surrounding rock in inclined rock stratum, the range and total weight of the asymmetrical collapsing block of the most common rectangular and circular tunnels under the varied parameters are provided. The results of this study can provide useful support for practical tunnel construction and design.

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“…e stability problem of deep cavity has been highlighted greatly and continuously in the field of the underground engineering, whereas the problem that needs to be solved urgently is how to accurately obtain the surrounding rock pressure when the deep cavern is destroyed [1,2]. Currently, the analytic methods for solving the surrounding rock pressure mainly include the limit equilibrium method and the limit analysis method, both of which have been illustrated widely in literature.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with the existing research results, the correctness of the calculation results was verified. Qin et al [2] considered the multilayer rock mass and used the upper bound method to study the influence of the variation of the parameters of the Hoek-Brown failure criterion on the surrounding rock pressure of the deep buried rectangular cavity. e vault of deep cavity was only considered and assumed to obey a curve function f(x) in the abovementioned studies, and yet, the side wall was ignored in the analysis.…”

Section: Introductionmentioning

confidence: 99%

Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion

Wang

Liu

2018

Advances in Civil Engineering

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The linear failure criterion is generally adopted in the stability problem of geotechnical engineering, whereas the experiments have indicated that there is a nonlinear relationship between the maximum and minimum principal stresses in weak surrounding rock. According to the characteristics of weak rock, the failure mechanism of deep cavity is constructed by combining the nonlinear Hoek–Brown failure criterion and the upper bound theorem of limit analysis. The upper bound solution of the surrounding rock pressure was deduced using the tangent method. The results show that the surrounding rock pressure of deep cavity is affected by surrounding rock grade, cavity depth, and section size. Especially, the influence of the disturbance factor is quite obvious. Upper bound solution based on nonlinear Hoek–Brown failure criterion can fully take the influence of parameters on surrounding rock pressure. Therefore, this method is more scientific than the linear failure criterion to calculate the surrounding rock pressure.

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2D and 3D limit analysis of progressive collapse mechanism for deep-buried tunnels under the condition of varying water table

Cited by 35 publications

References 18 publications

Functional Catastrophe Analysis of Collapse Mechanism for Shallow Tunnels with Considering Settlement

Functional Catastrophe Analysis of Collapse Mechanism for Shallow Tunnels with Considering Settlement

Limit Analysis of Progressive Asymmetrical Collapse Failure of Tunnels in Inclined Rock Stratum

Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion

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