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Evaluation of a three-dimensional method of slope stability analysis
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1989
Year
Numerical AnalysisEngineeringRock SlopeSymmetric Sliding SurfacesSlope EngineeringMechanical EngineeringComputational MechanicsStabilityGeotechnical EngineeringSlope StabilityMechanicsNumerical StabilityKinematicsStability AnalysisBishop MethodSlide DynamicCivil EngineeringStructural MechanicsThree-dimensional ExtensionThree-dimensional Method
The Bishop method tends to be conservative when applied to nonrotational and asymmetric surfaces because it neglects internal strength. The study compares a three‑dimensional extension of the Bishop simplified method with other limit equilibrium solutions and proposes indices to identify cases where it should not be used. The authors compare the 3D Bishop simplified method to other limit equilibrium solutions. The 3D Bishop simplified method shows very good correspondence with rotational and symmetric sliding surfaces, has tolerably small error for many common geometries, and, with its limitations defined, offers a useful algorithm for three‑dimensional limit equilibrium analysis. Key words: three‑dimensional slope stability analysis.
A study comparing a three-dimensional extension of the Bishop simplified method with other limit equilibrium solutions is presented. Very good correspondence is found in cases of rotational and symmetric sliding surfaces, such as ellipsoids. The Bishop method tends to be conservative when applied to nonrotational and asymmetric surfaces because it neglects internal strength. The error is, however, tolerably small for many commonly occurring slide geometries. Indices are proposed to identify cases for which the method should not be used. With its limitations defined, the Bishop simplified method offers a useful algorithm for three-dimensional limit equilibrium analysis. Key words: three-dimensional slope stability analysis.