It has been 25 years since Sulsky and her coworkers developed the first version of the
material point method (MPM): a quasi particle method to solve continuum mechanics …

The material point method (MPM) has been gaining increasing popularity as an appropriate
approach to the solution of coupled hydro-mechanical problems involving large deformation …

The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases
systematically introduces the theory, code design, and application of the material point …

In this paper, a new formulation of material point method (MPM) to model coupled soil
deformation and pore fluid flow problems is presented within the framework of the theory of …

A phase-field implicit material point method with the convected particle domain interpolation
(PF-ICPDI) is proposed to model the brittle–ductile failure transition in pressure-sensitive …

Material point methods suffer from volumetric locking when modelling near incompressible
materials due to the combination of a low-order computational mesh and large numbers of …

In this paper, we present a mixed explicit and semi-implicit Material Point Method for
simulating particle-laden flows. We develop a Multigrid Preconditioned fluid solver for the …

A Lagrangian–Eulerian stabilized collocation method (LESCM) for the fluid–structure
interaction problems involving free surface flow is presented in this work, in which the …

We propose a novel projection method to treat near-incompressibility and volumetric locking
in small-and large-deformation elasticity and plasticity within the context of higher order …

We propose a novel scheme for simulating two-way coupled interactions between nonlinear
elastic solids and incompressible fluids. The key ingredient of this approach is a ghost matrix …