Citing PhAST¶

If PhAST contributes to your research, please cite the associated arXiv manuscript and the software repository.

GitHub reads CITATION.cff and shows a Cite this repository button on the repository sidebar. Use that button for the most current machine-readable citation metadata.

Manuscript BibTeX¶

@misc{ani2026phast,
  title={A matrix-free, differentiable PyTorch solver for phase-field fracture: Formulation, benchmarks, and inverse analysis},
  author={Ani, Allamaprabhu and Molinari, Jean-François and Subhash, Ghatu and Ponnusami, Sathiskumar Anusuya},
  year={2026},
  eprint={2606.23458},
  archivePrefix={arXiv},
  primaryClass={cs.CE},
  url={https://arxiv.org/abs/2606.23458}
}

Repository BibTeX¶

@software{ani_phast_2026,
  author       = {Allamaprabhu Ani and Jean-Francois Molinari and
                  Ghatu Subhash and Sathiskumar A. Ponnusami},
  title        = {{PhAST}: Phase-field Autograd Solver in Torch},
  year         = {2026},
  version      = {0.16.2},
  license      = {MIT},
  url          = {https://github.com/CEMS-Lab/PhAST},
  note         = {Official code repository for arXiv:2606.23458.}
}

What To Cite¶

Use case	Citation guidance
You used the released PhAST software	Cite the repository using `CITATION.cff` or the BibTeX entry above.
You used a specific public example	Cite the repository and mention the example folder, configuration file, and commit hash.
You used a timing or benchmark comparison	Cite the repository and report the exact command, hardware, PyTorch version, and generated manifests.
You are discussing the formulation	Cite the PhAST manuscript, plus the underlying phase-field references listed in Physics, Units, and Formulation.

For reproducibility, include the PhAST commit hash and the path to the configuration you ran, for example:

PhAST commit: <git-commit>
Configuration: examples/dynamic/B2_kalthoff_winkler/config.yaml
Command: python -m phast run examples/dynamic/B2_kalthoff_winkler/config.yaml --output_dir runs/B2_kalthoff_winkler