Limit analysis of failure mechanism of tunnel roof collapse considering variable detaching velocity along yield surface

Li, Tianzheng; Yang, Xiaoli

doi:10.1016/j.ijrmms.2017.10.028

Cited by 14 publications

(5 citation statements)

References 19 publications

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“…The rupture surface in their mechanism is composed of arbitrary curves, and the final solution for the rupture surface is obtained through optimization computation. Because the advantages of this method have been verified by many studies (Li and Yang, 2017;Wang et al, 2019;Lyu et al, 2020), this method is also utilized here to investigate the damage mode of the bearing stratum at a pile end induced by tunneling beneath the pile.…”

Section: Failure Mechanism Of the Bearing Stratum At The Pile End Induced By Shield Tunnel Excavation Beneath An Existing Pilementioning

confidence: 99%

Failure Mechanism of the Bearing Stratum at the End of a Pile Induced by Shield Tunnel Excavation Beneath a Piled Building

et al. 2021

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Section: Failure Mechanism Of the Bearing Stratum At The Pile End Induced By Shield Tunnel Excavation Beneath An Existing Pilementioning

confidence: 99%

Failure Mechanism of the Bearing Stratum at the End of a Pile Induced by Shield Tunnel Excavation Beneath a Piled Building

et al. 2021

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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%

“…Then, Huang and Yang [15] introduced pore water pressure into the virtual equation, and the influence of pore water pressure on the collapse of circular tunnels was determined by adopting a collapse mechanism similar to the research of Fraldi and Guarracino [13,14]. Li and Yang [16] considered the variable separation speed along the yield surface and introduced a simplified technique to investigate the collapse mechanism of a tunnel roof based on previous research. Yang and Huang [17] employed a new curved failure mechanism of shallow tunnels to discuss the collapsing shape of shallow circular tunnels with the consideration of supporting pressure, and proposed a critical depth expression for classifying shallow and deep tunnels.…”

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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“…Limit analysis, which contains the lower bound and upper bound theorems, is an effective tool to solve stability problems in geotechnical engineering . It aims not to give the real solution of the problem but to give strictly possible lower bound or upper bound results.…”

Section: Kinematical Solutions Of 3d Passive Earth Pressurementioning

confidence: 99%

Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion

Yang

2018

Num Anal Meth Geomechanics

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Conventional methods for calculation of passive earth pressure were mainly based on the assumptions of the linear Mohr-Coulomb yield condition and plane strain failure mechanism. However, both theoretical and experimental studies have shown that such assumptions are not satisfied in some geotechnical projects. Herein, a novel method incorporating a kinematically admissible 3-dimensional (3D) rotational failure mechanism and the nonlinear powerlaw yield criterion is proposed to compute the passive earth pressure acting on the inclined retaining walls. Instead of using the nonlinear yield criterion directly, a straight line tangential to the nonlinear yield curve is employed to represent the strength of soils, and therefore, the nonlinear problem is transformed into the traditional linear problem. The 3D failure mechanism is generated through rotating a circle defined by 2 log-spirals, and a plane strain block is inserted into the mechanism to consider the retaining walls with different widths. Earthquake effects are taken into account by using quasi-static representation, and the horizontal seismic coefficient concept is adopted for the estimation of passive earth pressure under seismic conditions. An analytical expression about the 3D passive earth pressure is educed by means of the upper bound theorem of limit analysis. Numerical results for different practical parameters are obtained from an optimization scheme where the minimum of passive earth pressure is sought. Compared with available 2-dimensional and 3D solutions, the proposed method is validated. A parametric study is conducted to investigate the effects of different parameters on the 3D static and seismic passive earth pressure. KEYWORDS3D rotational mechanism, nonlinear yield criterion, passive earth pressure | INTRODUCTIONThe calculation of passive earth pressure is a classical and long-standing research theme in geotechnical engineering. Many analytical and numerical approaches to the determination of passive earth pressure have been developed. In the previously published literature about the passive earth pressure estimation, the linear Mohr-Coulomb (MC) criterion was widely used to represent the shear strength of soils. However, many researches have shown that the linear MC criterion can't truly reflect the mechanical characteristics of geomaterials and the nonlinear strength envelope may be

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Limit analysis of failure mechanism of tunnel roof collapse considering variable detaching velocity along yield surface

Cited by 14 publications

References 19 publications

Failure Mechanism of the Bearing Stratum at the End of a Pile Induced by Shield Tunnel Excavation Beneath a Piled Building

Failure Mechanism of the Bearing Stratum at the End of a Pile Induced by Shield Tunnel Excavation Beneath a Piled Building

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

Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion

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