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] Numerical modelling of large deformation problems in geotechnical engineering: A state-of-the-art review

CE Augarde, SJ Lee, D Loukidis - Soils and Foundations, 2021 - Elsevier
Many problems in geotechnical engineering involve large movements or rotations,
examples include natural processes such as landslides, and man-made processes such as …

A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations

A Sadeghirad, RM Brannon… - International Journal for …, 2011 - Wiley Online Library
A new algorithm is developed to improve the accuracy and efficiency of the material point
method for problems involving extremely large tensile deformations and rotations. In the …

Continuum modelling and simulation of granular flows through their many phases

S Dunatunga, K Kamrin - Journal of Fluid Mechanics, 2015 - cambridge.org
We propose and numerically implement a constitutive framework for granular media that
allows the material to traverse through its many common phases during the flow process …

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 …

[PDF][PDF] Material point method calculations with explicit cracks

JA Nairn - Computer Modeling in Engineering and Sciences, 2003 - cof.orst.edu
A new algorithm is described which extends the material point method (MPM) to allow
explicit cracks within the model material. Conventional MPM enforces velocity and …

[HTML][HTML] Simulating landslides with the material point method: Best practices, potentialities, and challenges

F Ceccato, A Yerro, G Di Carluccio - Engineering Geology, 2024 - Elsevier
Advances in numerical methods have provided useful tools for investigating the complex
behaviour of landslides, which can be a valuable support for landslide hazard assessment …

Robust quasistatic finite elements and flesh simulation

J Teran, E Sifakis, G Irving, R Fedkiw - Proceedings of the 2005 ACM …, 2005 - dl.acm.org
Quasistatic and implicit time integration schemes are typically employed to alleviate the
stringent time step restrictions imposed by their explicit counterparts. However, both …

A material point-finite element (MPM-FEM) model for simulating three-dimensional soil-structure interactions with the hybrid contact method

Z Lei, B Wu, S Wu, Y Nie, S Cheng, C Zhang - Computers and Geotechnics, 2022 - Elsevier
Large deformation in soils and frictional soil-structure contact are important geotechnical
processes that should be considered when designing protective structures to cushion the …

[HTML][HTML] Development of an implicit material point method for geotechnical applications

B Wang, PJ Vardon, MA Hicks, Z Chen - Computers and Geotechnics, 2016 - Elsevier
An implicit material point method (MPM), a variant of the finite element method (FEM), is
presented in this paper. The key feature of MPM is that the spatial discretisation uses a set of …