Smoothed particle hydrodynamics (SPH): an overview and recent developments

MB Liu, GR Liu - Archives of computational methods in engineering, 2010 - Springer
Smoothed particle hydrodynamics (SPH) is a meshfree particle method based on
Lagrangian formulation, and has been widely applied to different areas in engineering and …

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 …

Multiple‐GPU parallelization of three‐dimensional material point method based on single‐root complex

Y Dong, L Cui, X Zhang - International Journal for Numerical …, 2022 - Wiley Online Library
As one of the arbitrary Lagrangian–Eulerian methods, the material point method (MPM)
owns intrinsic advantages in simulation of large deformation problems by combining the …

[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 …

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 …

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 …

Incompressible material point method for free surface flow

F Zhang, X Zhang, KY Sze, Y Lian, Y Liu - Journal of Computational …, 2017 - Elsevier
To overcome the shortcomings of the weakly compressible material point method (WCMPM)
for modeling the free surface flow problems, an incompressible material point method …

Explosion damage analysis of concrete structure with bond-associated non-ordinary state-based peridynamics

S Yang, X Gu, X **a, Q Zhang - Engineering with Computers, 2023 - Springer
Peridynamics has unique advantages in solving discontinuity problems such as explosive
damage of structures. To further promote the peridynamic models, numerical algorithms and …

Development of a GPU-accelerated implicit material point method for geotechnical engineering

B Wang, PL Chen, D Wang, LL Liu, W Zhang - Acta Geotechnica, 2024 - Springer
A graphic processing unit (GPU)-accelerated implicit material point method (IMPM) is
proposed in this paper, aiming at solving large-scale geotechnical engineering problems …

An immersed boundary-material point method for shock-structure interaction and dynamic fracture

R Ni, J Li, X Zhang, X Zhou, X Cui - Journal of Computational Physics, 2022 - Elsevier
As a class of extreme fluid-structure interaction (FSI), shock-structure interaction problems
are always accompanied with dynamic fracture phenomena in solid structure. During the …