DENNs: Discontinuity-Embedded Neural Networks

This repository contains the implementation of Discontinuity-Embedded Neural Networks (DENNs). For a detailed description of the method, please refer to the paper: DENNs: Discontinuity-Embedded Neural Networks for fracture mechanics.

The repository includes numerical examples such as Mode I crack, bi-material interface crack, intersecting cracks, and crack propagation.

If you find this project helpful and use them in your own work, please use the following citations:

@article{ZHAO2025,
title = {DENNs: Discontinuity-Embedded Neural Networks for fracture mechanics},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {446},
pages = {118184},
year = {2025},
issn = {0045-7825},
doi = {https://doi.org/10.1016/j.cma.2025.118184},
url = {https://www.sciencedirect.com/science/article/pii/S0045782525004566},
author = {Luyang Zhao and Qian Shao},}

For questions, feel free to contact Luyang Zhao at lzhao428@uwo.ca.