Analytical solutions for deep tunnels in strain-softening rocks modeled by different elastic strain definitions with the unified strength theory

Sun, Zhenyu; Zhang, Dingli; Fang, Qian; Dui, Guansuo; Chu, Zhaofei

doi:10.1007/s11431-022-2158-9

Cited by 47 publications

(15 citation statements)

References 60 publications

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“…With the integral variable substitutions in Equation ( 16), the last equation in Equation ( 15) can be simplified into Equation (17).…”

Section: Normal Contact Pressures In Problemmentioning

confidence: 99%

“…As an interesting topic in urban underground engineering, three types of approaches have been employed to study the soil–structure interaction: empirical approach, numerical approach, and analytical approach. Modeling test and field measurements are widely conducted to estimate tunneling‐induced deformation, providing valuable engineering guidance for practical applications 11‐17,18,19 . In many cases, the safety of existing structures should be evaluated before tunnel excavation to adjust the construction scheme, which is difficult to achieve through field measurements.…”

Section: Introductionmentioning

confidence: 99%

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Approximate analytical solution of tunneling‐induced responses of a soil–foundation system using contact mechanics

Hong

Zhang

Zhou

et al. 2022

Num Anal Meth Geomechanics

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Estimating the tunneling‐induced responses of a soil–foundation system is crucial for safety control in urban underground engineering. In existing analytical research, the soil–foundation interaction is considered based on the Winkler soil model, with minimal focus on the continuum soil model. Hence, in this study, based on the continuum soil model, an approximate analytical solution is derived to predict the tunneling‐induced responses of a soil–foundation system considering the contact effect, where an approximation by replacing the surface of the complex variable solution for an elastic half‐plane with a tunnel with the mathematical expression of Sagaseta's ground loss settlement formula is adopted. A new strategy is proposed to optimize the derivation process, where the normal contact pressure after tunnel excavation is directly determined using the contact mechanics, and the proposed solution is obtained using the superposition principle. Subsequently, the approximation is proven to be accurate when the ratio of the buried depth to the tunnel radius is greater than 2.00. The proposed solution meets the given conditions and is in good agreement with numerical results, which verify the correctness of analytical solution. Furthermore, a parametric study is performed to investigate the influences of the key parameters on the mechanical responses. The results indicate that the proposed solution can quantitatively describe the nonlinear contact characteristics in the soil–foundation system; the contact effect is found to contribute to the discontinuous displacement and stress concentration when subjected to the significant effects of tunnel excavation.

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“…With the integral variable substitutions in Equation ( 16), the last equation in Equation ( 15) can be simplified into Equation (17).…”

Section: Normal Contact Pressures In Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximate analytical solution of tunneling‐induced responses of a soil–foundation system using contact mechanics

Hong

Zhang

Zhou

et al. 2022

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

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“…e possible collapse of the tunnel remains one of the most challenging problems. Due to the natural uncertainties of the properties of the rock mass in situ, such as mechanical parameters and the random variability of cracks or fractures [1][2][3][4][5][6][7][8], the collapse mechanism of a cavity roof has yet to be thoroughly grasped [9]. Because the limit analysis method requires no elastic characterization and only refers to the limit behavior, this approach can obtain more rigorous results with fewer assumptions [10].…”

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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“…The filling mining method can limit the deformation of the surrounding rock, control the changes in the ground pressure, and maintain the stability of the mine, which makes it an effective method that ensures safety in deep mining [ 1 , 2 , 3 , 4 ]. As a substitute for the ore body, backfill is used to form an interactive system that works together to resist external pressures from the overlying rock, ore body, and surrounding rock [ 5 , 6 , 7 , 8 , 9 ]. Since there is no sufficient deformation space, it is difficult for overall instability or extensive damage of the backfill body to occur, and sudden deformation failure mostly occurs in local parts of the backfill body, especially on the boundary [ 10 , 11 , 12 ].…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of the Damage and Failure Characteristics of the Backfill-Surrounding Rock Contact Zone

Yang

Guo

et al. 2022

Materials

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Due to obvious differences in the properties of the filling body and surrounding rock, deformation always develops near the contact zone. Thus, determining the damage and failure characteristics of the contact zone between the backfill and surrounding rock is a precondition for safe production in mines. Taking Jinchuan mine as study area, the backfill-surrounding rock contact zones are divided into three models according to their different geometric shapes, namely, a linear model, embedded model, and multiple broken line model. A combined numerical simulation and physical model test method was adopted in this study. The research results show that the damage in the linear model begins at the seam, the failure is mainly concentrated in the filling body, and shear failure is dominant. The damage in the embedded model initially occurs around the inflection points, while the damage in the multiple broken line model initially occurs at the seams, and cracks always appear on the vertical contact surface first. Among the three contact models, the stability increases as follows: embedded > multiple broken line > linear. Moreover, the filling body enclosed by surrounding rock is the most stable, and the surrounding rock located in the footwall is more stable than the filling body located in the footwall. The conclusions of this study provide a theoretical basis for designing a mining scheme for Jinchuan mine and other mines with similar geological conditions and mining methods, and they provide a reference for studying the mechanical properties and stability of composite materials.

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Analytical solutions for deep tunnels in strain-softening rocks modeled by different elastic strain definitions with the unified strength theory

Cited by 47 publications

References 60 publications

Approximate analytical solution of tunneling‐induced responses of a soil–foundation system using contact mechanics

Approximate analytical solution of tunneling‐induced responses of a soil–foundation system using contact mechanics

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

Experimental Study of the Damage and Failure Characteristics of the Backfill-Surrounding Rock Contact Zone

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