https://github.com/diehlpk/reusommer21

https://github.com/diehlpk/reusommer21

coupling finite-difference-method finite-difference-schemes peridynamic peridynamics-models python

Last synced: 8 months ago
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• Host: GitHub
• URL: https://github.com/diehlpk/reusommer21
• Owner: diehlpk
• License: gpl-3.0
• Created: 2021-05-21T12:56:23.000Z (about 5 years ago)
• Default Branch: main
• Last Pushed: 2024-11-06T04:02:40.000Z (over 1 year ago)
• Last Synced: 2025-04-29T08:56:34.438Z (about 1 year ago)
• Topics: coupling, finite-difference-method, finite-difference-schemes, peridynamic, peridynamics-models, python
• Language: Jupyter Notebook
• Homepage:
• Size: 8.08 MB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# Coupling approaches with non-matching grids for classical linear elasticity and bond-based  peridynamic models in 1D - Part I

  [![DOI](https://zenodo.org/badge/369535539.svg)](https://zenodo.org/badge/latestdoi/369535539) [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/diehlpk/reusommer21/HEAD)


Simulations for the comparison of the three methods without damage. With these scripts, we compare both models in the case of pure linear elasticity.

## Dependencies

* [numpy](https://numpy.org/)

* [matplotlib](https://matplotlib.org/)

* [ipython](https://ipython.readthedocs.io/en/stable/)

* [notebook](https://jupyter.org/install)

## Usage

```bash

python3 -m venv deps

source deps/bin/activate

pip install -r requirements.txt

ipython notebook

```

## Reference

* Diehl, P., Downing, E., Edwards, A. et al. Coupling Approaches with Non-matching Grids for Classical Linear Elasticity and Bond-based Peridynamic Models in 1D. J Peridyn Nonlocal Model 7, 7 (2025). https://doi.org/10.1007/s42102-025-00131-9 [Preprint](https://arxiv.org/abs/2504.06093)