Highlights
-
An exact solution of stability measures, satisfying both equilibrium and compatibility, was derived.
-
Stability factor and factor of safety were evaluated for infinite rock slopes with strength governed by the Hoek–Brown criterion.
-
The presence of seepage flow parallel to the slope face was considered.
-
The generalized Hoek–Brown criterion was directly utilized without typical approximations.
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Abbreviations
- \(\sigma^{\prime}_{1}\) :
-
Major effective principal stress
- \(\sigma^{\prime}_{3}\) :
-
Minor effective principal stress
- σ ci :
-
Uniaxial compressive strength of the intact rock
- m b :
-
Hoek–Brown constant for rock mass
- a :
-
Hoek–Brown constant for rock mass
- s :
-
Hoek–Brown constant for rock mass
- m i :
-
Hoek–Brown constant for intact rock dependent on rock type
- GSI :
-
Geological strength index
- D :
-
Disturbance factor
- σ n :
-
Effective normal stress
- τ :
-
Shear strength
- δ :
-
Parametric angle or rupture angle
- H :
-
Depth of infinite slope measured vertically
- T :
-
Thickness of infinite slope
- β :
-
Slope inclination angle
- W :
-
Weight of element ABB’A’
- N :
-
Normal force acting on A’B’
- S :
-
Shear force acting on A’B’
- U :
-
Boundary water force on A’B’
- P :
-
Horizontal force acting on element ABB’A’
- μ :
-
Seepage flow coefficient
- \(\bar{\gamma }\) :
-
Average unit weight of rock
- γ :
-
Unit weight of rock
- γ sat :
-
Unit weight of saturated rock
- N f :
-
Stability factor
- F τ :
-
Factor of safety defined by τ
- τ d :
-
Demand on τ needed for limit equilibrium
- \(F_{{\sigma _{{ci}} }}\) :
-
Factor of safety defined by σci
- σ cid :
-
Demand on σci needed for limit equilibrium
- \(\bar{\gamma }\) T/σ ci :
-
Dimensionless combination of rock properties and slope geometry
- γ w :
-
Unit weight of water
- σ nd :
-
Reduced effective normal stress
- D dis :
-
Rate of work dissipation
- W γ :
-
Rate of work done by rock unit weight
- W u :
-
Rate of work done by pore-water pressure
- v :
-
Magnitude of velocity discontinuity vector
- v :
-
Velocity discontinuity vector
- l :
-
Unit length of element ABB’A’
- δ d :
-
Reduced rupture angle
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Acknowledgements
The work presented in this paper was carried out while the author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT), No. RS-2023-00252544. This work was supported by the Korea Electric Power Corporation (Grant number: R22XO05-05). The author thanks the two anonymous reviewers for their insightful comments.
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Park, D. Infinite Rock Slope Analysis with Hoek–Brown Failure Criterion. Rock Mech Rock Eng 56, 6919–6928 (2023). https://doi.org/10.1007/s00603-023-03431-y
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DOI: https://doi.org/10.1007/s00603-023-03431-y