This paper reviews previous studies on developments and applications of response surface
methods (RSMs) in different slope reliability problems. Based on the review, four types of …

In practical geotechnical engineering of slopes, it is well-known that the uncertainty of soil
properties and ground motions need to be considered for the safety of the project. The effect …

At present, there are two problems in 3D slope reliability analysis:(1) the slope stability
analysis method;(2) how to effectively extend the reliability analysis method from 2D to 3D …

Monte Carlo simulation (MCS) provides a conceptually simple and robust method to
evaluate the system reliability of slope stability, particularly in spatially variable soils …

The random field finite element method (RF-FEM) provides a robust tool for carrying out
slope reliability analysis that incorporates the spatial variability of soil properties. However, it …

Random finite element method (RFEM) provides a rigorous tool to incorporate spatial
variability of soil properties into reliability analysis and risk assessment of slope stability …

Abstract Direct Monte Carlo simulation for the reliability analysis of slope stability with
spatially variable soil properties suffers from a serious lack of efficiency when the probability …

This paper presents a system probabilistic stability evaluation method for slopes based on
Gaussian process regression (GPR) and Latin hypercube sampling. The analysis is …

This study investigates the occurrence and evolution of various slope failure modes during
large deformation in spatially variable soils using Monte Carlo simulation combined with …

Abstract Random field Monte Carlo (MC) reliability analysis is a robust stochastic method to
determine the probability of failure. This method, however, requires a large number of …