Upper bound analysis for deep tunnel face with joined failure mechanism of translation and rotation

Xu, Jingshu; Du, Dianchun; Yang, Zihan

doi:10.1007/s11771-015-2979-7

Cited by 10 publications

(5 citation statements)

References 26 publications

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“…This is because the plane strain analysis is more conservative to a three-dimensional one as the beneficial effect of intermediate principal stress is ignored. Besides, as regards plane strain analysis of tunnel face stability, some other failure mechanisms are also available in the literature, e.g., the mechanism based on a discrete technique proposed by Mollon et al [17] and the joined mechanism of translation and rotation proposed by Xu et al [33]. Corresponding to a tunnel face in dry sand (c = 0kPa) with = 18kN/m 3 and D = 10m, the collapse pressures with respect to various friction angles are derived in the light of these three mechanisms, as shown in Table 3.…”

Section: Upper Bound Analysis For Required Supporting Pressurementioning

confidence: 99%

Upper Bound Analysis for Collapse Failure of Shield Tunnel Face Excavated in Unsaturated Soils Considering Steady Vertical Flow

Zhang

2019

Mathematical Problems in Engineering

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Natural soils are mostly in an unsaturated state and the corresponding mechanical properties differ significantly from a saturated one. In traditional stability analysis for a shield tunnel face, the soil mass is typically assumed to be dry or saturated for convenience of analysis. In this work, based on the upper bound theorem of classical plasticity theory and the log-spiral failure mechanism, face stability of the shield tunnel excavated in unsaturated soils under vertical steady flow is studied. The profile of shear strength is determined by virtues of the unified effective stress approach and the analytical solution of matric suction under unsaturated steady flow. On this basis, the analytical expression for the supporting pressure is deduced and the sequential quadratic programming is employed to search for the optimal upper bound solution. Through parametric analysis it is found the fitting parameters of SWCC and the groundwater level affect the supporting pressure notably. Besides, the relevant influence of vertical discharge is also significant when clayey soils are concerned.

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Section: Upper Bound Analysis For Required Supporting Pressurementioning

confidence: 99%

Upper Bound Analysis for Collapse Failure of Shield Tunnel Face Excavated in Unsaturated Soils Considering Steady Vertical Flow

Zhang

2019

Mathematical Problems in Engineering

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“…When a shield tunnel is located below the river, the stability analysis of the shield tunnel face needs to consider the influence of pore water pressure. The pore water pressure usually is considered an external force [27] and the forces acting upon the wedge at the tunnel face illustrates in Figure 2. A hydrostatic distribution of pore water pressures along the slip surface is assumed.…”

Section: Limit Support Pressurementioning

confidence: 99%

Probabilistic Analysis of Tunnel Face Stability below River Using Bayesian Framework

Liu

Luo

Huang

et al. 2018

Mathematical Problems in Engineering

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A key issue in assessment on tunnel face stability is a reliable evaluation of required support pressure on the tunnel face and its variations during tunnel excavation. In this paper, a Bayesian framework involving Markov Chain Monte Carlo (MCMC) simulation is implemented to estimate the uncertainties of limit support pressure. The probabilistic analysis for the three-dimensional face stability of tunnel below river is presented. The friction angle and cohesion are considered as random variables. The uncertainties of friction angle and cohesion and their effects on tunnel face stability prediction are evaluated using the Bayesian method. The three-dimensional model of tunnel face stability below river is based on the limit equilibrium theory and is adopted for the probabilistic analysis. The results show that the posterior uncertainty bounds of friction angle and cohesion are much narrower than the prior ones, implying that the reduction of uncertainty in cohesion and friction significantly reduces the uncertainty of limit support pressure. The uncertainty encompassed in strength parameters are greatly reduced by the MCMC simulation. By conducting uncertainty analysis, MCMC simulation exhibits powerful capability for improving the reliability and accuracy of computational time and calculations.

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“…Moreover, Yang et al [4] studied the influence of the inhomogeneity and anisotropy of soil on the ultimate supporting force of a shield tunnel that was excavated in an anisotropic stratum. Consequently, Xu et al [5] proposed a new rotational failure mechanism and used this mechanism in conjunction with a nonlinear failure criterion to compute the theoretical solution of the cabin pressure for tunnel face. Later, Zhang et al [6] constructed threedimensional active and passive failure mechanisms of the tunnel face by investigating the failure features of rock mass in front of the tunnel face.…”

Section: Introductionmentioning

confidence: 99%

The Face Stability Analysis of Shield Tunnels Subjected to Seepage Based on the Variational Principle

et al. 2022

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The stability of tunnel face remains a great challenge for tunnel engineers, especially when excavation is in a complex stratum under the water table. This paper aims to investigate the stability of soil in the front of a shield tunnel face induced by the presence of insufficient cabin pressure under the water table, on the basis of a variational principle and an upper bound theorem. The analytical expression of the rupture surface for the tunnel face is obtained, and the shapes of the rupture surface are plotted. Comparisons are made to check the present approach against the solution provided by numerical simulation techniques in order to show that the proposed method is valid. The parameter analysis indicates that the groundwater seepage has a significant effect on the range of the rupture surface for the shield tunnel face.

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Upper bound analysis for deep tunnel face with joined failure mechanism of translation and rotation

Cited by 10 publications

References 26 publications

Upper Bound Analysis for Collapse Failure of Shield Tunnel Face Excavated in Unsaturated Soils Considering Steady Vertical Flow

Upper Bound Analysis for Collapse Failure of Shield Tunnel Face Excavated in Unsaturated Soils Considering Steady Vertical Flow

Probabilistic Analysis of Tunnel Face Stability below River Using Bayesian Framework

The Face Stability Analysis of Shield Tunnels Subjected to Seepage Based on the Variational Principle

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