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Further, they are utilized to calculate the permanent seismic displacement of a practical earth slope model subjected to seismic motions in both the horizontal and vertical directions.
Furthermore, this method will be applied to earth slope stability analysis to give probability levels for local and global failures on a potential failure surface.
Finally, the proposed method was applied to earth slope reliability analysis using a commercial finite difference program to calculate the slope's factor of safety.
Based on the proposed algorithm and through direct perturbation analysis of random variables, we conducted a case study of earth slope reliability with complete consideration of soil uncertainty and spatial variability.
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The seismic stability and deformability of earth slopes are conventionally evaluated by simple, practical methods.
The results obtained indicate that they can calculate the safety factor of earth slopes using a smaller number of simulations than conventional methods and that they can also be applied to calculate the permanent seismic displacement of earth slopes.
A probabilistic model is described to evaluate the three-dimensional (3-D) stability of earth slopes under long-term conditions.
One option is to evaluate the seismic deformability of earth slopes using permanent seismic displacements via Newmark׳s sliding block analysis in the current seismic design.
The results also indicate that the permanent seismic displacement calculated is an important index that can be used to quantitatively evaluate the seismic performance of earth slopes.
Because a multimodal function optimization problem makes it mathematically difficult to search large critical slip surface of earth slopes with complex strata, stability analysis is one of the classical problems of geotechnical engineering.
This paper proposes two methods for computing safety factors and permanent seismic displacements of earth slopes using an efficient non-circular slip surface search algorithm based on the force equilibrium given by the Spencer method.
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