This practical guide provides the best introduction to large deformation material point
method (MPM) simulations for geotechnical engineering. It provides the basic theory …

Although the spatial variability of soil properties in slope stability analysis has long been
recognized, the adoption of three-dimensional (3D) probabilistic slope models has been …

This paper aims to propose an auxiliary random finite element method (ARFEM) for efficient
three-dimensional (3-D) slope reliability analysis and risk assessment considering spatial …

A method of combining 3D Kriging for geotechnical sampling schemes with an existing
random field generator is presented and validated. Conditional random fields of soil …

The random material point method (RMPM), which combines random field theory and the
material point method (MPM), is proposed. It differs from the random finite-element method …

Accurate assessment of slope failures and their large deformations is critical for effective
landslide mitigation. This study introduces the new Cooperative Stochastic Material Point …

It is well known that soils are prone to spatial non-uniformity, which affects evaluations of
slope stability and failure mechanisms. This paper presents a probabilistic slope stability …

A practical approach is proposed in this paper for the reliability assessment of rock tunnel
excavations using the moving least squares method (MLSM) and the uniform design. The …

Embankment slopes composed of spatially variable soils have a variety of different failure
modes that are affected by the correlation distances of the material properties and the …

This paper investigates the influence of three forms of uncertainty on the probabilistic
stability of an idealised 3D embankment slope. These are: 1D spatial variability in the …