Material Point Method (MPM) is a particle based method that represents the material as a collection of material points, and their deformations are determined by Newton’s laws of motion. The MPM is a hybrid Eulerian-Lagrangian approach, which uses moving material points and computational nodes on a background mesh. This approach is very effective particularly in the context of large deformations.

Illustration of the MPM algorithm (1) A representation of material points overlaid on a computational grid. Arrows represent material point state vectors (mass, volume, velocity, etc.) being projected to the nodes of the computational grid. (2) The equations of motion are solved onto the nodes, resulting in updated nodal velocities and positions. (3) The updated nodal kinematics are interpolated back to the material points. (4) The state of the material points is updated, and the computational grid is reset

## MPM Online course book

Learn to code MPM with Python online book

## CB-Geo MPM code

- The CB-Geo MPM code is available at GitHub

## Documentation

## Team

## Publications

### GNS: A generalizable Graph Neural Network-based simulator for particulate and fluid modeling

Kumar, K., Vantassel, J.;

### Hybrid Finite Element and Material Point Method to simulate granular column collapse from failure initiation to runout

Sordo, B., Rathje, E., Kumar, K.;

### In-situ visualization of natural hazards with Galaxy and Material Point Method

Abram, G., Solis, A., Liang, Y., and Kumar, K.;

*IEEE Computing in Science & Engineering*

### Investigating the thixotropic behaviour of tremie concrete using the slump‑flow test and the Material Point Method

Wilkes, C.;
Kumar, K.;
Biscontin, G.;

*Concrete Rheology*

### Large Deformation Modelling in Geomechanics

Kumar, K.;
Soga, K.;

*In Geotechnical Design and Practice*

### Trends in large‑deformation analysis of landslide mass movements with particular emphasis on the material point method

Soga, K;
Alonso, E;
Yerro, A;
Kumar, K;
Bandara, S.;

*Géotechnique, 66(3), 248‑273*

### Post‑failure behavior of tunnel heading collapse by MPM simulation

Cheng, X.;
Zheng, G.;
Soga, K.;
Bandara, S.;
Kumar, K.;
Diao, Y.;
Xu, J.;

*Science China Technological Sciences, 58(12), 2139‑2152.*