A novel implicit FEM-MPM coupling framework using convex cone programming for elastoplastic problems

XW Zhou, YF Jin, KY He, ZY Yin, FT Liu - Computer Methods in Applied …, 2024 - Elsevier
Abstract Most existing Finite Element Method and the Material Point Method (FEM-MPM)
coupling is designed for explicit solvers. By contrast, implicit schemes offer the advantage of …

Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems

WM Coombs - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
The unstable nature of the material point method (MPM) is widely documented and is a
barrier to the method being used for routine engineering analyses of large deformation …

A novel Hybrid Particle Element Method (HPEM) for large deformation analysis in solid mechanics

H Fang, ZY Yin - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
This paper develops a novel Hybrid Particle Element Method (HPEM) to model large
deformation problems in solid mechanics, combining the strengths of both mesh-based and …

Unstructured moving least squares material point methods: a stable kernel approach with continuous gradient reconstruction on general unstructured tessellations

Y Cao, Y Zhao, M Li, Y Yang, J Choo… - Computational …, 2024 - Springer
The material point method (MPM) is a hybrid Eulerian Lagrangian simulation technique for
solid mechanics with significant deformation. Structured background grids are commonly …

A high-fidelity material point method for frictional contact problems

EG Kakouris, MN Chatzis, SP Triantafyllou - arXiv preprint arXiv …, 2024 - arxiv.org
A novel Material Point Method (MPM) is introduced for addressing frictional contact
problems. In contrast to the standard multi-velocity field approach, this method employs a …

Material Point Methods on Unstructured Tessellations: A Stable Kernel Approach With Continuous Gradient Reconstruction

Y Cao, Y Zhao, M Li, Y Yang, J Choo… - arXiv preprint arXiv …, 2023 - arxiv.org
The Material Point Method (MPM) is a hybrid Eulerian-Lagrangian simulation technique for
solid mechanics with significant deformation. Structured background grids are commonly …

A stable poro-mechanical formulation for Material Point Methods leveraging overlapping meshes and multi-field ghost penalisation

G Pretti, RE Bird, ND Gavin, WM Coombs… - arXiv preprint arXiv …, 2024 - arxiv.org
The Material Point Method (MPM) is widely used to analyse coupled (solid-water) problems
under large deformations/displacements. However, if not addressed carefully, MPM up …