An analytical solution for time-dependent stress field of lined circular tunnels using complex potential functions in a stepwise procedure

Kargar, Ali Reza; Haghgouei, Hadi

doi:10.1016/j.apm.2019.09.025

Cited by 32 publications

(8 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 1 presents the considered tunnel constructed in the viscoelastic Burger rock with double supports. Whilst the deterministic analysis of deep tunnels constructed in viscoelastic materials has been largely performed [5,6,18,19], the time-dependent behavior's uncertainty of rock masses has not yet received a lot of attention. Recently, Do et al [17] investigated the stability of the tunnel supports using reliability analyses.…”

Section: Problem Statementmentioning

confidence: 99%

“…In comparison with the case of isotropic initial stresses as considered in [17], the behavior of the tunnel supports is more critical when the moment induced by anisotropic initial stress increases the concentration of compressive stress in liners as shown in the deterministic analyses performed by different authors [2,5,6,18,19]. From a statistical point of view, it is more rational to consider the anisotropy of the initial stresses and the related uncertainties compared to the assumption of isotropic initial stresses using constant parameters.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Probabilistic Stability Analysis of Deep Rock Tunnel Excavated by Mechanized Tunneling Considering Anisotropic Initial Stresses

Guo

Dias

2022

Applied Sciences

View full text Add to dashboard Cite

Due to the complex geological conditions, the construction of underground tunnels in the rocks exhibiting creep behaviors is a great challenge and the structures’ long-term stability is of main importance. The excavation by tunnel boring machines (TBM) of a tunnel that is supported by a double flexible/concrete liner is considered a potential technical solution. However, the efficiency of such a support system on the stability at long-term of a tunnel must be verified in the real condition by considering both the effects of uncertainties of the time-dependent rock behavior and anisotropy of initial stress state. In this paper, the subset simulation and the Sobol global sensitivity analysis are chosen to estimate the failure probability of the tunnel supports and quantify the importance of different random parameters, respectively. The results reveal that considering the anisotropy of initial stresses increases the failure probability, especially in the concrete support elements. In addition, the parameters of initial stresses are the ones of main importance for both liners according to the Sobol indices. Therefore, the anisotropy of initial stresses and the related uncertainties should be considered for reliable tunnel designs.

show abstract

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Probabilistic Stability Analysis of Deep Rock Tunnel Excavated by Mechanized Tunneling Considering Anisotropic Initial Stresses

Guo

Dias

2022

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…From equation (28), the force at the interface between reinforcement body and plastic zone (r � r m ) can be obtained at t time, and the radius expression of the plastic zone can be obtained:…”

Section: Creep Analysis In Plastic Zonementioning

confidence: 99%

“…Based on the unified strength theory [24][25][26][27], the bolt supporting force is regarded as an internal force applied to the surrounding reinforcement, and its mechanical model is established to derive the expression of the tunnel stress and deformation under the composite lining effect. e generalized Kelvin model is used to analyze the creep characteristics of the surrounding rock [28][29][30][31], and the law of stress law of the initial support and secondary lining in the creep process of the surrounding rock is obtained. A more reasonable design concept of composite lining is proposed to ensure the stability of the supporting structure and the surrounding rock during the tunnel operation.…”

Section: Introductionmentioning

confidence: 99%

Stress‐Strain Calculation Method of Composite Lining considering the Creep Characteristics of Tunnel Surrounding Rock

Huang

2021

Advances in Civil Engineering

View full text Add to dashboard Cite

Tunnels are generally designed for a sustained usage of 80 to 100 years, during which the safety of tunnel structures must be guaranteed. A common supporting form utilized in contemporary tunnel engineering is composite lining. To derive applicable parameters of the supporting form and therefore ensure the long-term safety of the tunnel structure, it is imperative to determine the extra acting force exerted onto the composite lining by the creep of the rock surrounding the tunnel and to calculate the stress-strain characteristics of composite lining. In the current study, this paper proposes an approach termed surrounding reinforcement, which is based on the homogenization method. Specifically, this paper defined the bolt force as the internal force of the surrounding rock, analyzed their viscoelastic-plastic properties using the unified strength theory, and derived an equation for calculating the stress-strain relationship of the composite lining. To further validate the method in tunnel structures, this paper applied the derived equation to a representative instance. The results of this paper show that the initial support force has also increased during the creep process of the surrounding rock, indicating that engineers should pay close attention to the coordination between the strength of initial support and the secondary lining and thus ensure an optimal distribution of the pressure from the surrounding rock when designing composite lining tunnel within weak strata. This paper proposes that the initial support not only would guarantee the tunnel safety during the construction stage but also could cooperate with the secondary lining to brace the stress caused by the creep, ensuring that the supporting structure stays stable across the whole period of tunnel operation. This paper provides an alternative to previous methods that is more comprehensive, with simpler calculations, and more applicable to the composite lining supporting design within weak strata.

show abstract

“…It is easy to return the calculation results of the unit circle boundary to the original orifice boundary and obtain the solution of the complex orifice boundary. Therefore, it is widely used in the theoretical calculation of stress and deformation of cavern, tunnel, roadway, and another orifice problems [7][8][9][10][11][12] , and the analytical solution of complex orifice boundary is obtained.…”

Section: Introductionmentioning

confidence: 99%

Complex Function Solution for Deformation and Failure Mechanism of Inclined Coal Seam Roadway

Xiong

Dai

Xinnian

et al. 2021

Preprint

View full text Add to dashboard Cite

The stressed environment of the inclined coal seam roadway is complex and changeable, and the damage degree of surrounding rock increases, threatening the safe mining of coal mines. To improve the effectiveness of stability control of surrounding rock of this kind of roadway, the deformation and failure law of the inclined coal seam roadway is analyzed based on the complex function theory. It optimizes the solution process and accuracy of the mapping function coefficient and deduces the analytical solution of surrounding rock stress and deformation inclined coal seam roadway. The deformation and failure mechanism of surrounding rock in inclined coal seam roadway is revealed theoretically and verified by numerical simulation and physical simulation test. The results show that the stress and deformation of roadway surrounding rock in inclined coal seam show obvious asymmetric distribution characteristics. The stress and deformation of roadway surrounding rock on the right side are greater than on the left side. The two sides of the roadway, the right side of the roof and the roof angle of the right side, are the key positions of roadway stress concentration and deformation. According to the variation law of stress and deformation distribution of roadway surrounding rock, roadway cyclic deformation and failure theory is put forward. The numerical simulation and physical simulation test show that the deformation and failure law of roadway is consistent with the theoretical analysis results, and the cyclic deformation and failure mechanism of roadway in inclined coal seam is verified.

show abstract

An analytical solution for time-dependent stress field of lined circular tunnels using complex potential functions in a stepwise procedure

Cited by 32 publications

References 17 publications

Probabilistic Stability Analysis of Deep Rock Tunnel Excavated by Mechanized Tunneling Considering Anisotropic Initial Stresses

Probabilistic Stability Analysis of Deep Rock Tunnel Excavated by Mechanized Tunneling Considering Anisotropic Initial Stresses

Stress‐Strain Calculation Method of Composite Lining considering the Creep Characteristics of Tunnel Surrounding Rock

Complex Function Solution for Deformation and Failure Mechanism of Inclined Coal Seam Roadway

Contact Info

Product

Resources

About