% Fenicsx =============================================================================
@misc{BarattaEtal2023,
  title     = {{DOLFINx}: the next generation {FEniCS} problem solving environment},
  author    = {Baratta, I.A. and Dean, J.P. and Dokken, J.S. and Habera, M. and Hale, J.S. and Richardson, C.N. and Rognes, M.E. and Scroggs, M.W. and Sime, N. and Wells, G.N.},
  doi       = {10.5281/zenodo.10447666},
  year      = {2023},
  howpublished = {preprint}
}

@article{ScroggsEtal2022,
  title     = {Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes},
  author    = {Scroggs, M.W. and Dokken, J.S. and Richardson, C.N. and Wells, G.N.},
  journal   = {ACM Transactions on Mathematical Software},
  year      = {2022},
  volume    = {48},
  number    = {2},
  doi       = {10.1145/3524456},
  pages     = {{18:1--18:23}},
}

@article{BasixJoss,
  title     = {Basix: a runtime finite element basis evaluation library},
  author    = {Scroggs, M.W. and Baratta, I.A. and Richardson, C.N. and Wells, G.N.},
  journal   = {Journal of Open Source Software},
  year      = {2022},
  volume    = {7},
  number    = {73},
  doi       = {10.21105/joss.03982},
  pages     = {3982}
}

@article{AlnaesEtal2014,
  title     = {Unified Form Language: A domain-specific language for weak formulations of partial differential equations},
  author    = {Alnaes, M.S. and Logg, A. and {\O}lgaard, K.B. and Rognes, M.E. and Wells, G.N.},
  journal   = {{ACM} Transactions on Mathematical Software},
  year      = {2014},
  volume    = {40},
  doi       = {10.1145/2566630},
}


% Phase-field fracture / fatigue ======================================================
@article{Miehe2010,
  title     = {A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits},
  author    = {Miehe, C. and Hofacker, M. and Welschinger, F.},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  volume    = {199},
  number    = {45},
  pages     = {2765-2778},
  year      = {2010},
  issn      = {0045-7825},
  doi       = {10.1016/j.cma.2010.04.011},
  url       = {https://www.sciencedirect.com/science/article/pii/S0045782510001283},
}

@article{FrancfortMarigo1998,
  title     = {Revisiting brittle fracture as an energy minimization problem},
  author    = {Francfort, G.A. and Marigo, J.-J.},
  journal   = {Journal of the Mechanics and Physics of Solids},
  volume    = {46},
  number    = {8},
  pages     = {1319-1342},
  year      = {1998},
  issn      = {0022-5096},
  doi       = {10.1016/S0022-5096(98)00034-9},
  url       = {https://www.sciencedirect.com/science/article/pii/S0022509698000349},
}

@article{Amor2009,
  title     = {Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments},
  author    = {Amor, H. and Marigo, J.-J. and Maurini, C.},
  journal   = {Journal of the Mechanics and Physics of Solids},
  volume    = {57},
  number    = {8},
  pages     = {1209-1229},
  year      = {2009},
  issn      = {0022-5096},
  doi       = {10.1016/j.jmps.2009.04.011},
  url       = {https://www.sciencedirect.com/science/article/pii/S0022509609000659},
  keywords  = {Fracture, Energy methods, Free-discontinuity problems, Contact mechanics, Finite elements}
}

@Article{Ambati2015,
  title     = {A review on phase-field models of brittle fracture and a new fast hybrid formulation},
  author    = {Ambati, M. and Gerasimov, T. and De Lorenzis, L.},
  journal   = {Computational Mechanics},
  year      = {2015},
  month     = {Feb},
  day       = {01},
  volume    = {55},
  number    = {2},
  pages     = {383-405},
  issn      = {1432-0924},
  doi       = {10.1007/s00466-014-1109-y},
  url       = {https://doi.org/10.1007/s00466-014-1109-y},

}

@article{Carrara2020,
  title     = {A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach},
  author    = {Carrara, P. and Ambati, M. and Alessi, R. and De Lorenzis, L.},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  volume    = {361},
  pages     = {112731},
  year      = {2020},
  issn      = {0045-7825},
  doi       = {10.1016/j.cma.2019.112731},
  url       = {https://www.sciencedirect.com/science/article/pii/S0045782519306218},
  keywords  = {Brittle fracture, Fatigue, Modeling, Paris law, Phase-field models, Wöhler curve},
}


% Phase-field  ======================================================
@misc{RACCOON,
  title     = {RACCOON: A parallel finite-element code specialized in phase-field for fracture},
  author    = {Gary (Tianchen) Hu},
  journal   = {GitHub repository},
  year      = {2019},
  publisher = {GitHub},
  url       = {https://github.com/hugary1995/raccoon}
}

@article{SymPhas,
  title     = {SymPhas—General Purpose Software for Phase-Field, Phase-Field Crystal, and Reaction-Diffusion Simulations},
  author    = {Silber, Steven A. and Karttunen, M.},
  journal   = {Advanced Theory and Simulations},
  volume    = {5},
  number    = {1},
  pages     = {2100351},
  year      = {2022},
  doi       = {10.1002/adts.202100351},
  url       = {https://onlinelibrary.wiley.com/doi/abs/10.1002/adts.202100351},
  eprint    = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/adts.202100351},
  keywords  = {application programming interface, generic programming, phase-field modeling, reaction-diffusion modeling, symbolic algebra},
  }

@article{OpenPhase,
  title     = {Parallel multiphase field simulations with OpenPhase},
  author    = {Tegeler, M. and Shchyglo, O. and Kamachali, R. and Monas, A. and Steinbach, I. and Sutmann, G.},
  journal   = {Computer Physics Communications},
  volume    = {215},
  pages     = {173-187},
  year      = {2017},
  issn      = {0010-4655},
  doi       = {10.1016/j.cpc.2017.01.023},
  url       = {https://www.sciencedirect.com/science/article/pii/S0010465517300358},
  keywords  = {Material science, Phase field, Parallel computing, Load-balancing},
}

@article{PRISMS-PF,
  title     = {PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method},
  author    = {DeWitt, S. and Rudraraju, S. and Montiel, D. and Beck Andrews, W. and Thornton, K.},
  journal   = {npj Computational Materials},
  year      = {2020},
  volume    = {6},
  number    = {1},
  pages     = {29},
  doi       = {10.1038/s41524-020-0298-5},
  url       = {https://doi.org/10.1038/s41524-020-0298-5},
  issn      = {2057-3960}
}
