Limit analysis of roof collapse in tunnels under seepage forces condition with three-dimensional failure mechanism

Qin, Changbing; Liang, Qiao

doi:10.1007/s11771-013-1739-9

Cited by 19 publications

(5 citation statements)

References 29 publications

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“…Thereafter, considering the non-ignorable influence of ground water imposed on the impending collapse, Huang and Yang [10] incorporated the pore pressure into upper bound theorem, being regarded as external forces, and some discussions were made to estimate the region of failure in tunnel roofs. Similarly, Yang and Qin et al [11,12] evaluated the effect of seepage forces in the process of analyzing roof stability with 2D and 3D collapse mechanisms respectively and the findings obtained are in sound agreement with the existing results.…”

Section: Introductionsupporting

confidence: 73%

See 1 more Smart Citation

Upper bound analysis of progressive failure mechanism of tunnel roofs in partly weathered stratified Hoek–Brown rock masses

Qin

Yang

Pan

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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Section: Introductionsupporting

confidence: 73%

“…(10) and (11) into Eqs. (12) and (14), the height of two detaching blocks, H, h, and the correlation of the collapsing blocks can be expressed as…”

Section: Upper Bound Analysis Of Collapsing Blocksmentioning

confidence: 99%

Upper bound analysis of progressive failure mechanism of tunnel roofs in partly weathered stratified Hoek–Brown rock masses

Qin

Yang

Pan

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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“…where B i is another undetermined constant, whose value can be solved according to the boundary conditions in Figure 2. Accordingly, the expression of the three-dimensional axisymmetric collapse surface in Figure 2 can be obtained from equation (20) as follows:…”

Section: Determination Of Ree-dimensional Collapse Modementioning

confidence: 99%

“…However, in practical engineering, tunnel collapse should be a typical three-dimensional problem, as shown in Figure 1. For example, Yang and Huang [18], Huang et al [19], Qin et al [20], Soubra et al [21], and Guan et al [22] employed the three-dimensional mechanisms to investigate the failure characteristic of tunnels or cavities. In addition, influenced by the sedimentary history of the strata, the strata also show prominent stratification characteristics.…”

Section: Introductionmentioning

confidence: 99%

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Wang

Liu

Liu³

et al. 2019

Mathematical Problems in Engineering

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Based on the plastic upper bound theorem, a three-dimensional kinematically admissible velocity field is constructed for the collapse of the soil masses above a shallow tunnel. In this field, this paper considers the influences of the roof stratification, pore water pressure, ground overload, and support pressure. This study deduced the upper bound solutions of the weight of the collapsed soil masses and the corresponding collapse surfaces by utilizing the nonlinear failure criterion, associated flow rule, and variation principle. Furthermore, we verified the validity of the proposed method in this paper by comparing this research with the existing work and numerical simulation results. This study obtains the influence laws of varying parameters on the area and weight of the collapsed soil masses. The results reveal that the area and weight of the collapsed soil masses increase with increasing support pressure and soil cohesion, but decrease with increasing thickness of the upper soil layer, nonlinear coefficient, pore water pressure, and ground overload. Among them, the roof stratification, pore water pressure, soil cohesion, and nonlinear coefficient have a significant influence on tunnel collapse, which should be given special consideration in engineering design.

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“…Moreover, an analytical upper bound method, proposed by Fraldi and Guarracino, was used to predict plastic collapse in circular rock tunnels [6,16]. According to Hoke-Brown failure criterion and the upper bound theorem of limit analysis, tunnel collapse under seepage forces condition and three-dimensional failure mechanism of a rectangular cavity were studied in detail [9,[17][18][19][20][21]. Senent et al [22] studied the face stability of circular tunnels, which were excavated in heavily fractured and "low quality" rock masses, and the nonlinear Hoke-Brown (HB) failure criterion was applied.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Collapse Scope of Deep-Buried Tunnels Using Pressure Arch Theory

Wang

Jing

Zhang

et al. 2016

Mathematical Problems in Engineering

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Tunnel collapse remains a serious problem in practice. Effective prediction methods on tunnel collapse are necessary for tunnel engineering. In this study, systematic study on the pressure arch was presented to predict tunnel collapse. Multiple factors under different conditions were considered. First, the pressure arch was described as a certain scope in comparison with the lowest pressure arch line. Then, a deep-buried circular tunnel was selected as the investigated object. Its collapse scope was analyzed using the lowest pressure arch line. Meanwhile, the main influence from the ground stress field was considered. Different modes of ground stress fields were investigated in detail. The results indicate that the collapse scope varies with different ground stress fields. Determination on the collapse scope is strongly affected by the judgment standard of the pressure arch. Furthermore, a selected case was analyzed with the pressure arch. The area and the height of tunnel collapse were calculated with multiple factors, including ground stress field, judgment standard, and lateral pressure coefficient. Finally, selected results were compared with relevant previous researches, and reasonable results were obtained. The present results are helpful for further understanding of the tunnel collapse and could provide suitable guidance for tunnel projects.

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Limit analysis of roof collapse in tunnels under seepage forces condition with three-dimensional failure mechanism

Cited by 19 publications

References 29 publications

Upper bound analysis of progressive failure mechanism of tunnel roofs in partly weathered stratified Hoek–Brown rock masses

Upper bound analysis of progressive failure mechanism of tunnel roofs in partly weathered stratified Hoek–Brown rock masses

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Prediction of Collapse Scope of Deep-Buried Tunnels Using Pressure Arch Theory

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