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 …

Material point method: overview and challenges ahead

X Wang, M Li, Y Fang, X Zhang, M Gao… - ACM Transactions on …, 2020 - dl.acm.org
We propose Hierarchical Optimization Time Integration (HOT) for efficient implicit
timestep** of the material point method (MPM) irrespective of simulated materials and …

The modified Mohr-Coulomb model considering softening effect and intermediate principal stress

X Meng, D Geng, S Liu - Mechanics of Advanced Materials and …, 2024 - Taylor & Francis
Abstract Based on the Mohr-Coulomb model, a modified Mohr-Coulomb model that can
consider both softening effect and intermediate principal stress effect was formed by …

Analysis of large deformation geotechnical problems using implicit generalized interpolation material point method

W Yuan, H Wang, K Liu, W Zhang, D Wang… - Journal of Zhejiang …, 2021 - Springer
This paper presents a quasi-static implicit generalized interpolation material point method
(iGIMP) with B-bar approach for large deformation geotechnical problems. The iGIMP …

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 …

Lagrangian–Eulerian multidensity topology optimization with the material point method

Y Li, X Li, M Li, Y Zhu, B Zhu… - International Journal for …, 2021 - Wiley Online Library
In this paper, a hybrid Lagrangian–Eulerian topology optimization (LETO) method is
proposed to solve the elastic force equilibrium with the Material Point Method (MPM). LETO …