Modeling of heterogeneous materials and media is a problem of fundamental importance to
a wide class of phenomena and systems, ranging from condensed matter physics, soft …

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 …

In this paper, we introduce the Moving Least Squares Material Point Method (MLS-MPM).
MLS-MPM naturally leads to the formulation of Affine Particle-In-Cell (APIC)[Jiang et al …

Hybrid Lagrangian/Eulerian simulation is commonplace in computer graphics for fluids and
other materials undergoing large deformation. In these methods, particles are used to …

Recent progress in deep learning is essentially based on a “big data for small tasks”
paradigm, under which massive amounts of data are used to train a classifier for a single …

We propose a hybrid neural network (NN) and PDE approach for learning generalizable
PDE dynamics from motion observations. Many NN approaches learn an end-to-end model …

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 …

We simulate sand dynamics using an elastoplastic, continuum assumption. We demonstrate
that the Drucker-Prager plastic flow model combined with a Hencky-strain-based …

We present a multi-species model for the simulation of gravity driven landslides and debris
flows with porous sand and water interactions. We use continuum mixture theory to describe …

In this paper, a new formulation of material point method (MPM) to model coupled soil
deformation and pore fluid flow problems is presented within the framework of the theory of …