Assessing the Stability of Slopes Using Vector-Sum-Based Numerical Manifold Method and Pattern Search Algorithm

The Numerical Manifold Method (NMM) has been considered as an effective analysis method for geotechnical problems. A vector-sum-based numerical manifold method (VSNMM) combined with a pattern search algorithm (PSA), termed VSNMM-PSA, is further proposed to assess the stability of slopes. In this num...

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Vydáno v:Rock mechanics and rock engineering Ročník 55; číslo 6; s. 3659 - 3673
Hlavní autoři: Yang, Yongtao, Wu, Wenan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Vienna Springer Vienna 01.06.2022
Springer Nature B.V
Témata:
Algorithms
Civil Engineering
Earth and Environmental Science
Earth Sciences
Elastoplasticity
Evaluation
Failure analysis
Failure surface
Geophysics/Geodesy
Manifolds
Mathematical models
Methods
Numerical methods
Numerical models
Original Paper
Pattern search
Safety
Safety factors
Search algorithms
Slope
Slope stability
Stability
Stability analysis
Stress distribution
Surface stability
Pattern search algorithm
Vector sum method
Safety factor
Numerical manifold method
Failure surface
ISSN:0723-2632, 1434-453X
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Shrnutí:The Numerical Manifold Method (NMM) has been considered as an effective analysis method for geotechnical problems. A vector-sum-based numerical manifold method (VSNMM) combined with a pattern search algorithm (PSA), termed VSNMM-PSA, is further proposed to assess the stability of slopes. In this numerical method, PSA is applied for the determination of failure surface location. With the stress field of the slope obtained from a NMM-based elastoplastic calculation, the vector sum method (VSM) is used to predict trial safety factors for a series of trial failure surfaces (TFSs) during the failure-surface determination process. Stability analyses about three standard slopes are investigated with the proposed VSNMM-PSA model. Numerical results indicate that slopes’ safety factors and failure surfaces can be accurately determined through the proposed VSNMM-PSA method. The proposed VSNMM-PSA method provides an effective tool to evaluate slopes’ stability, and may improve their designs. Highlights A vector-sum-based numerical manifold method combined with a pattern search algorithm is proposed. Slopes’ safety factors and failure surfaces can be accurately determined through the proposed numerical model. The proposed numerical model provides an effective tool to evaluate slopes’ stability.
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ISSN:0723-2632
1434-453X
DOI:10.1007/s00603-022-02818-7