Limit variation analysis of shallow rectangular tunnels collapsing with double-layer rock mass based on a three-dimensional failure mechanism

Zhao, Lianheng; Hu, Shihong; Yang, Xiaohan; Huang, Fu; Zuo, Shi

doi:10.1007/s11771-019-4134-3

Cited by 8 publications

(3 citation statements)

References 24 publications

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“…At present, some research results have been obtained on the force characteristics and the fracture evolution characteristics of tunnel lining under unsymmetrical loads. Zhao Lianheng et al [4][5][6] introduced the horizontal unsymmetrical load coefficient to optimize the calculation method of surrounding rock pressure distribution in shallowly buried unsymmetrical tunnels. The authors proved that the optimized calculation method has significant asymmetric failures and that the overall deflection of the failure range to the side with a larger buried depth is more in line with the actual engineering situation.…”

Section: Introductionmentioning

confidence: 99%

Study on the Fracture Evolution Characteristics of Existing Defect Lining under Unsymmetrical Load

Li,

Xu,

Zheng

et al. 2023

Sustainability

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In order to explore the fracture evolution characteristics of existing defect lining structures under unsymmetrical loads, unsymmetrical failure model tests of three working conditions, namely, intact lining, vault defect, and arch waist defect, were carried out. Acoustic emission (AE) technology was used to detect the lining cracks from microscopic to macroscopic. The relationship between the accumulated energy of AE and the relative load was established, and a fracture evolution model of lining based on the cumulative energy of AE was proposed. The results show that the failure process of the intact lining under unsymmetrical load has three stages: “initial crack cracking at the unsymmetrical position → development and formation of main crack → specimen cracking failure”. The load ratio of initial crack cracking is 16.5%, and the load ratio of main crack development and formation is 52.2%. The initial cracking position of the lining under unsymmetrical loads has nothing to do with the existing defect position, with defects occurring at the unsymmetrical position, and the remaining cracks are mainly distributed in the vault, inverted arch and arch foot position. Compared with the intact lining, the ultimate bearing capacity of the vault defect and arch waist defect decreased by 14.2% and 21.3%, and the maximum deformation decreased by 44.6% and 50.6%, respectively. The radial deformation degree in the unsymmetrical position at each stage is basically the same under unsymmetrical load conditions, and it is not affected by the position of the existing defects. The deformation proportion of each stage is concentrated in 5%, 40%, 53%, respectively. We derived the facture evolution of lining based on the accumulated energy of AE, and the quantitative relationship between the damage variable and deformation of the lining under unsymmetrical load was established. When the fracture degree reaches 0.04 and 0.35, the deformation of vault defect lining and the arch waist defect lining is 58.3%, 75.0%, 40.2% and 50.6% earlier than those of the complete lining, respectively. When the fracture degree exceeds 0.6, the growth rate of damage degree is no longer affected by the location of the existing defect.

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Section: Introductionmentioning

confidence: 99%

Study on the Fracture Evolution Characteristics of Existing Defect Lining under Unsymmetrical Load

Li,

Xu,

Zheng

et al. 2023

Sustainability

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“…The above studies enriched the uplift behavior researches, and most studies were based on frictional or clayey materials. However, the general soil has both internal friction angle and cohesion, and a large number of researches [30][31][32][33][34] have shown that geomaterials exhibit strong nonlinear characteristics which has a significant effect on the structural stability and bearing capacity. In the above studies, the soil inherent nonlinear characteristics were neglected, leading to a slight deviation in the anchor plate design.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Zhao

Tan

et al. 2022

Num Anal Meth Geomechanics

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The uplift bearing capacity of anchor plates has been the focus of geotechnical engineering research. In this study, based on the upper-bound limit analysis theory and considering the nonlinear characteristics of geomaterials, the three-dimensional uplift behavior of a shallow horizontal anchor plate was analyzed. Based on the variational principle, virtual power principle, and equilibrium equation, the ultimate pullout forces of rectangular and circular anchor plates were derived, and the dimensionless breakout factor and failure mechanism of the overlying soil were obtained. The ultimate pullout forces were in good agreement with the existing research results, and the principal stresses along the rupture surface agreed well with that obtained by numerical analysis, which could demonstrate the effectiveness and accuracy of the proposed method. Moreover, the effects of the nonlinear coefficient, anchor size and aspect, embedment ratio, and surface overload on the breakout factor were investigated. Meanwhile, the shape modification factors of rectangular and circular anchor plates were obtained. The findings of this study can provide a useful reference for anchor plate design.

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“…Guarracino and Guarracino [12] made encouraging progress with the help of plasticity theory and calculus of variations, and a closed-form solution of the collapsed outline was obtained with the Hoek-Brown (H-B) criterion considered instead of the M-C rule. Since then, many researchers furthered their work by considering various cases of cavities such as di erent excavation pro les [13], layered rock masses or soils [9,[14][15][16][17], the presence of the karst cave [18], the solutions for shallow tunnels [19][20][21][22] or progressive collapse [23][24][25][26], consideration of the supporting pressure [27][28][29], and the case considering the groundwater [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Potential Roof Collapse Analysis of Tunnel Considering the Orthotropic Weak Interlayer on the Detaching Surface

Zhang

Sun

et al. 2022

Advances in Civil Engineering

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The evaluation of the roof collapse in tunnels or cavities remains one of the most complex issues in geotechnical engineering. Taking the detaching surface of the tunnel roof collapse as an orthotropic weak interlayer, an analytical approach for determining the limit collapse range considering the arch effect of the tunnel is presented in this paper by the variation calculus. A discontinuity criterion moving from the anisotropic criterion proposed by the present authors is applied to the orthotropic interlayer. The phenomenon of sharp points in collapse blocks is further analyzed. Based on the proposed approach, illustrated examples are analyzed to investigate the effect of the strength parameters and the consideration of the collapse cusp, which show different influence laws on the range of collapse blocks. Those interesting conclusions can provide guidance for the prediction of the collapse mechanism of the tunnel.

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Limit variation analysis of shallow rectangular tunnels collapsing with double-layer rock mass based on a three-dimensional failure mechanism

Cited by 8 publications

References 24 publications

Study on the Fracture Evolution Characteristics of Existing Defect Lining under Unsymmetrical Load

Study on the Fracture Evolution Characteristics of Existing Defect Lining under Unsymmetrical Load

Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Potential Roof Collapse Analysis of Tunnel Considering the Orthotropic Weak Interlayer on the Detaching Surface

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