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 …

As one of the arbitrary Lagrangian–Eulerian methods, the material point method (MPM)
owns intrinsic advantages in simulation of large deformation problems by combining the …

Handling contact problems in the Material Point Method (MPM) has long been a challenge.
Traditional grid-based contact approaches often face issues with mesh dependency, while …

An explicit phase-field total Lagrangian material point method (TLMPM) is proposed in this
paper for the effective simulation of the dynamic fracture behavior of hyperelastic solids …

Abstract The total Lagrangian Material Point Method (TLMPM) is an efficient formulation of
the well known Material Point Method (MPM). Unlike the MPM, it is not subject to cell …

In recent years, two types of nonlocal differential operators and their theories and
formulations have been proposed and used in numerical modeling and computations …

A hybrid material point/finite volume method for the numerical simulation of shallow water
waves caused by large dynamic deformations in the bathymetry is presented. The proposed …

Three-dimensional rock fracture induced by blasting is a highly complex problem and has
received considerable attention in geotechnical engineering. The material point method is …

The material point method (MPM) is frequently used to simulate large deformations of nearly
incompressible materials such as water, rubber, and undrained porous media. However …

Subjected to external loadings, polymeric materials, eg, biological tissues, hydrogels, and
elastomers, may undergo extreme, nearly incompressible,(self-) contact deformations. For …