Collapse mechanism of shallow tunnel based on nonlinear Hoek–Brown failure criterion

Yang, Xiaoli; Huang, Fu

doi:10.1016/j.tust.2011.05.008

Cited by 167 publications

(49 citation statements)

References 22 publications

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“…Anchor net support mainly use prestressed anchor (resin bolt, an end anchor head mechanical bolt) and anchor (metal), the selected anchoring force should be very strong, which can carry real time, after installation of surrounding rock prestressing [24].…”

Section: Support Theoriesmentioning

confidence: 99%

Experimental Study on Properties of Steel-plastic Geogrids and their Application in Supporting Engineering

Wang¹,

Lü²,

Kong³

et al. 2016

TOBCTJ

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Steel-plastic geogrid greatly improves the stability of surrounding rock in the supporting project due to the qualities, such as high strength, high toughness and less creep deformation. Through the geogrid mechanical properties analysis, tensile strength, deformation and creep test and field experiment and so on, we researched and analyzed steel-plastic geogrids' characteristics and supporting effect, and concluded the influencing factors of steel-plastic geogrids' characteristics, load-time curve and the steel-plastic geogrids' variation under different temperature. We explained steel-plastic geogrids' supporting effect through specific examples of projects. The results of the studies are listed as follows: (1) Steel-plastic geogrid has good resistance to deformation and node failure of roadway surrounding rock deformation, which has good tensile property, creep property and deflection performance; (2) It is feasible to support the surrounding rock by forming a whole combined joint support with steel-plastic geogrid and high-strength prestressed anchor rod.

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Section: Support Theoriesmentioning

confidence: 99%

Experimental Study on Properties of Steel-plastic Geogrids and their Application in Supporting Engineering

Wang¹,

Lü²,

Kong³

et al. 2016

TOBCTJ

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“…This block can actually collapse from the roof of the tunnel. By applying the upper-bound theorem, Yang and Huang [17] proposed a mechanical model for shallow unlined tunnels and obtained the upper solution of the collapsing block shape based on the Hoek-Brown failure criterion. The current study analyzes the collapse of shallow unlined tunnels with FCT based on Yang's mechanical model ( Figure 2).…”

Section: Catastrophe Analysis Of the Stability Of A Shallow Unlined Tmentioning

confidence: 99%

“…Several assumptions are made when solving the proposed problem via FCT. First, we consider only the gravity field and disregard the tectonic stress field for consistency with the relative reference (Yang and Huang [17]). The rock mass behavior is elastic-perfectly plastic.…”

Section: Catastrophe Analysis Of the Stability Of A Shallow Unlined Tmentioning

confidence: 99%

“…The velocity fields in the 2D and 3D stability analyses are based on the analytical works of Verruijt and Booker [14] and Sagaseta [15], respectively. Fraldi and Guarracino [16] and Yang and Huang [17] obtained the collapsed shape of a deep tunnel and shallow tunnel, respectively, based on the HoekBrown failure criterion by combining the upper bound of the limit analysis and the calculus of variations. Because the deformation and failure of tunnel surrounding rock are characterized by nonlinear and discontinuous phenomena, catastrophe theory is suitable for investigating the behaviors of tunnel collapse.…”

Section: Introductionmentioning

confidence: 99%

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Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Zhang

Han

2015

Mathematical Problems in Engineering

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This paper investigates the collapse mechanisms and possible collapsing block shapes of shallow unlined tunnels under conditions of plane strain. The analysis is performed following the framework from a branch of catastrophe theory, functional catastrophe theory. First, the basic principles of functional catastrophe theory are introduced. Then, an analytical solution for the shape curve of the collapsing block of a shallow unlined tunnel is derived using functional catastrophe theory based on the nonlinear HoekBrown failure criterion. The effects of the rock mass parameters of the proposed method on the shape and weight of the collapsing block are examined. Moreover, a critical cover depth expression to classify deep and shallow tunnels is proposed. The analytical results are consistent with those obtained by numerical simulation using the particle flow code, demonstrating the validity of the proposed analytical method. The obtained formulas can be used to predict the height and width of the collapsing block of a shallow unlined tunnel and to provide a direct estimate of the overburden on the tunnel lining. The obtained formulas can be easily used by tunnel engineers and researchers due to their simplicity.

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“…And the method is difficult to quantitatively describe the key process of tunnel instability and failure. The latter are still in the exploration stage, and have mainly established the critical instability and failure criteria by using the nonlinear theory and numerical calculation method (Yang and Yin 2006;Heap and Faulkner 2008;Liu et al 2008;Cui 2010;Yang and Yang 2010;Yang and Huang 2011;Sarat 2011;Serrano et al 2011;Huang and Yang 2011;Aydan et al 2012). Based on this, it mainly establishes the sharp point catastrophe model and criterion by using the catastrophe theory (Liu et al 2002;Chen 2002;Yue et al 2006;Yan and Xu 2006;Jiancong 2008;Wenjiang et al 2011;Hong 2013).…”

Section: Introductionmentioning

confidence: 99%

Energy Evolution Model and Critical Failure Criterion for the Dynamic Process of Tunnel System Instability

2014

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The failure criteria and dynamic evolution process of tunnel system deformation and instability have been one of the popular areas in the research field of underground engineering albeit one of the most difficult. The energy evolution model and critical failure criterion of the dynamic process in tunnel system instability are studied in this paper. Based on in situ measurements and the dissipative structure theory, the energy dissipation and dynamic evolution characteristics of the tunnel system instability has been presented. By using the basic laws of thermodynamics, the energy dissipation mechanism of the whole tunnel system has been explored, and an energy evolution model of the tunnel system instability has been established. On this basis, the degree of stability evolution process has been determined depending on the sample size (more than or \3,000). The energy criterion is proposed in accordance with the unstable and failure features of each evaluation stage of the tunnel system. This study has proved that the energy evolution model and critical failure criterion is reasonable and reliable in studying the stability analysis of an overlapped tunnels in Guangzhou metro, China. It also provides a significant guideline for the calculation and analysis of tunnel stability.

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Collapse mechanism of shallow tunnel based on nonlinear Hoek–Brown failure criterion

Cited by 167 publications

References 22 publications

Experimental Study on Properties of Steel-plastic Geogrids and their Application in Supporting Engineering

Experimental Study on Properties of Steel-plastic Geogrids and their Application in Supporting Engineering

Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Energy Evolution Model and Critical Failure Criterion for the Dynamic Process of Tunnel System Instability

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