Assessment of rigorous solutions for pseudo-dynamic slope stability: Finite-element limit-analysis modelling

This study developed a finite-element lower-bound procedure to investigate seismic slope stability in homogeneous and non-homogeneous soils. In order to account for dynamic earthquake inputs, horizontal and vertical accelerations are expressed by the pseudo-dynamic approach, in the form of sinusoida...

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Bibliographic Details
Published in:Journal of Central South University 2023-07, Vol.30 (7), p.2374-2391
Main Authors: Zhou, Jian-feng, Zheng, Zi-yu, Bao, Ting, Tu, Bing-xiong, Yu, Jian, Qin, Chang-bing
Format: Article
Language:English
Subjects:
Algorithms
Bearing capacity
Dynamic stability
Engineering
Finite element method
Flow stability
Linear programming
Lower bounds
Mathematical models
Metallic Materials
Safety factors
Seismic stability
Slope stability
Soil dynamics
Soil layers
Soil strength
Stability analysis
Upper bounds
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Summary:This study developed a finite-element lower-bound procedure to investigate seismic slope stability in homogeneous and non-homogeneous soils. In order to account for dynamic earthquake inputs, horizontal and vertical accelerations are expressed by the pseudo-dynamic approach, in the form of sinusoidal functions. Within the framework of lower-bound theory, the seismic slope stability analysis is transformed to a linear programming problem subjected to: stress equilibrium, stress discontinuity, stress boundary and yield conditions. An interior-point algorithm implemented into MATLAB was adopted to seek optimal lower-bound solutions of slope bearing capacity and safety factor. The proposed procedure for lower-bound analysis of seismic slope stability was validated by comparing the slope safety factor obtained from different approaches including limit equilibrium and Abaqus. A nonuniform soil slope with linearly varied and layered soil strength parameters and non-associated flow rule are considered, and the corresponding effects on seismic slope stability are discussed. The true solution of safety factor to seismic slope stability is well assessed by rigorous lower and upper bounds with the discrepancy no greater than 4.5%.
ISSN:2095-2899
2227-5223
DOI:10.1007/s11771-023-5370-0