Material point method after 25 years: Theory, implementation, and applications

A De Vaucorbeil, VP Nguyen, S Sinaie… - Advances in applied …, 2020 - Elsevier
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 …

[HTML][HTML] iGIMP: An implicit generalised interpolation material point method for large deformations

TJ Charlton, WM Coombs, CE Augarde - Computers & Structures, 2017 - Elsevier
Abstract The Material Point Method (MPM) uses a combined Eulerian-Lagrangian approach
to solve problems involving large deformations. A problem domain is discretised as material …

A density-adaptive SPH method with kernel gradient correction for modeling explosive welding

MB Liu, ZL Zhang, DL Feng - Computational Mechanics, 2017 - Springer
Explosive welding involves processes like the detonation of explosive, impact of metal
structures and strong fluid–structure interaction, while the whole process of explosive …

Mitigating kinematic locking in the material point method

CM Mast, P Mackenzie-Helnwein, P Arduino… - Journal of …, 2012 - Elsevier
The material point method exhibits kinematic locking when traditional linear shape functions
are used with a rectangular grid. The locking affects both the strain and the stress fields …

[HTML][HTML] B-spline based boundary conditions in the material point method

Y Bing, M Cortis, TJ Charlton, WM Coombs… - Computers & …, 2019 - Elsevier
The material point method is an increasingly popular method for tackling solid mechanics
problems involving large deformations. However, there are issues associated with applying …

An adaptive finite element material point method and its application in extreme deformation problems

YP Lian, X Zhang, Y Liu - Computer methods in applied mechanics and …, 2012 - Elsevier
Taking advantages of both Lagrangian and Eulerian methods, material point method (MPM)
is suitable for modeling problems with extreme deformation. However, MPM is less accurate …

Numerical simulation of hydro-elastic problems with smoothed particle hydrodynamics method

M Liu, J Shao, H Li - Journal of Hydrodynamics, 2013 - Springer
Violent free surface flows with strong fluid-solid interactions can produce a tremendous
pressure load on structures, resulting in elastic and even plastic deformations. Modeling …

A frictional contact algorithm for implicit material point method

ZP Chen, X Zhang, XM Qiu, Y Liu - Computer Methods in Applied …, 2017 - Elsevier
The explicit material point method (MPM) works successfully in modeling high frequency
problems, but it is very computationally expensive in simulating low frequency with small …

Analysis and mitigation of spatial integration errors for the material point method

AS Baumgarten, K Kamrin - International Journal for Numerical …, 2023 - Wiley Online Library
The material point method (MPM) is a robust numerical simulation approach for continuum
mechanics problems involving large material deformations coupled to changing surface …

Modeling landslide-induced flow interactions with structures using the material point method

CMM Mast - 2013 - digital.lib.washington.edu
Landslides cause significant damage and loss of life around the world each year. To help
protect people, infrastructure, and lifelines against such disasters, it is critical to: a.) control …