Stabilised Material Point Method for Fluid-Saturated Geomaterials

Large deformations in fluid-saturated geomaterials are central to numerous geotechnical applications, such as landslides and dam failures, pile installations, and underground excavations. An in-depth understanding of the soil's hydromechanical behaviour during large-deformation processes is essential for quantitative predictions about such...

Fully implicit, stabilised, three-field material point method for dynamic coupled problems

This study presents the formulation and implementation of a fully implicit stabilised Material Point Method (MPM) for dynamic problems in two-phase porous media. In particular, the proposed method is built on a three-field formulation of the governing conservation laws, which uses solid displacement, pore pressure and fluid displacement as...

An explicit stabilised material point method for coupled hydromechanical problems in two-phase porous media

This paper presents a single-point Material Point Method (MPM) for large deformation problems in two-phase porous media such as soils. Many MPM formulations are known to produce numerical oscillations and inaccuracies in the simulated results, largely due to numerical integration and stress recovery performed at non-ideal locations, cell...