A Material Point Method implementation using Python: MPM-Py. This program uses objected-oriented programming paradigm to represent and modeling the elements and its interaction in the material point method context.

git clone https://github.com/fabricix/MPM-Py.git

To create the documentation, install pdoc:

pip3 install pdoc3

And then run

pdoc --html -c latex_math=True modules/

To read the documentation, open the file /html/modules/index.html using a web browser.

• Python 3.7.4 or superior

• Matplotlib 3.3.4 or superior

In the folders verification_problems and tests there are examples showing and testing the functionalities of the program.

The file tests/mesh-test.py tests the mesh generations module by plotting the mesh and showing the number of elements, nodes and material points.

Run this example as:

python mesh-test.py

The file tests/interpolation_functions_test.py shows the interpolation functions and its derivates over an one 1D element.

Run this example as:

python interpolation-functions-test.py

In this verification problem a single mass vibration is analyzed numerically and then the numerical solution is compared with the analytical one.

Run this example as:

python mpm-single-mass-bar-vibration.py

In this verification problem a continuum bar vibration is analyzed numerically and then the numerical solution is compared with the analytical one.

Run this example as:

python mpm-continuum-bar-vibration.py