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 …

Analysis and reduction of quadrature errors in the material point method (MPM)

M Steffen, RM Kirby, M Berzins - International journal for …, 2008 - Wiley Online Library
The material point method (MPM) has demonstrated itself as a computationally effective
particle method for solving solid mechanics problems involving large deformations and/or …

Implicit formulation of material point method for analysis of incompressible materials

S Kularathna, K Soga - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
Material point method (MPM) is a particle based numerical technique with application to
solid mechanics problems involving large deformations. Recently, MPM has been …

A total-Lagrangian material point method for solid mechanics problems involving large deformations

A de Vaucorbeil, VP Nguyen, CR Hutchinson - Computer Methods in …, 2020 - Elsevier
The material point method (MPM) has found successful applications in many engineering
problems involving large displacement, large deformation and contacts. The standard MPM …

[图书][B] The material point method: a continuum-based particle method for extreme loading cases

X Zhang, Z Chen, Y Liu - 2016 - books.google.com
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 …

The material point method for simulating continuum materials

C Jiang, C Schroeder, J Teran, A Stomakhin… - Acm siggraph 2016 …, 2016 - dl.acm.org
Simulating the physical behaviors of deformable objects and fluids has been an important
topic in computer graphics. While the Lagrangian Finite Element Method (FEM) is widely …

A high order material point method

R Tielen, E Wobbes, M Möller, L Beuth - Procedia Engineering, 2017 - Elsevier
The classical material point method (MPM) developed in the 90s is known for drawbacks
which affect the quality of results. The movement of material points from one element to …

[PDF][PDF] Examination and analysis of implementation choices within the material point method (MPM)

M Steffen, PC Wallstedt, JE Guilkey… - … Model Eng Sci, 2008 - cdn.techscience.cn
The Material Point Method (MPM) has shown itself to be a powerful tool in the simulation of
large deformation problems, especially those involving complex geometries and contact …

Enhancement of the material point method using B‐spline basis functions

Y Gan, Z Sun, Z Chen, X Zhang… - International Journal for …, 2018 - Wiley Online Library
The material point method (MPM) enhanced with B‐spline basis functions, referred to as B‐
spline MPM (BSMPM), is developed and demonstrated using representative quasi‐static …

Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method

JE Guilkey, JA Weiss - International Journal for Numerical …, 2003 - Wiley Online Library
An implicit integration strategy was developed and implemented for use with the material
point method (MPM). An incremental‐iterative solution strategy was developed around …