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@article{Jha2021, doi = {10.21105/joss.03020}, url = {https://doi.org/10.21105/joss.03020}, year = {2021}, publisher = {The Open Journal}, volume = {6}, number = {65}, pages = {3020}, author = {Jha, Prashant K. and Diehl, Patrick}, title = {NLMech: Implementation of finite difference/meshfree discretization of nonlocal fracture models}, journal = {Journal of Open Source Software} }
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@article{yade2021,
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title = {Yade Documentation (3rd edition)},
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author = {Smilauer, Vaclav and Angelidakis, Vasileios and Catalano, Emanuele and Caulk, Robert and Chareyre, Bruno and Ch{\ifmmode\grave{e}\else\`{e}\fi}vremont, William and Dorofeenko, Sergei and Duriez, J{\ifmmode\acute{e}\else\'{e}\fi}r{\ifmmode\hat{o}\else\^{o}\fi}me and Dyck, Nolan and Elias, Jan and Er, Burak and Eulitz, Alexander and Gladky, Anton and Guo, Ning and Jakob, Christian and Kneib, Francois and Kozicki, Janek and Marzougui, Donia and Maurin, Raphael and Modenese, Chiara and Pekmezi, Gerald and Scholt{\ifmmode\grave{e}\else\`{e}\fi}s, Luc and Sibille, Luc and Stransky, Jan and Sweijen, Thomas and Thoeni, Klaus and Yuan, Chao},
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year = {2021},
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journal = {Zenodo},
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doi = {10.5281/zenodo.5705394}
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}
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@article{dosta2024comparing,
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title={Comparing open-source DEM frameworks for simulations of common bulk processes},
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author={Dosta, Maksym and Andr{\'e}, Damien and Angelidakis, Vasileios and Caulk, Robert A and Celigueta, Miguel Angel and Chareyre, Bruno and Dietiker, J-F and Girardot, J and Govender, Nicolin and Hubert, C and others},
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journal={Computer Physics Communications},
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volume={296},
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pages={109066},
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year={2024},
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publisher={Elsevier}
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@article{govender2016blaze,
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title={Blaze-DEMGPU: Modular high performance DEM framework for the GPU architecture},
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author={Govender, Nicolin and Wilke, Daniel N and Kok, Schalk},
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journal={SoftwareX},
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volume={5},
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pages={62--66},
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year={2016},
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publisher={Elsevier},
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doi={10.1016/j.softx.2016.04.004}
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}
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@article{zhang_2024_deme,
@@ -27,30 +37,33 @@ @article{zhang_2024_deme
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pages = {109196},
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year = {2024},
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issn = {0010-4655},
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doi = {https://doi.org/10.1016/j.cpc.2024.109196},
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doi = {10.1016/j.cpc.2024.109196},
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author = {Ruochun Zhang and Bonaventura Tagliafierro and Colin {Vanden Heuvel} and Shlok Sabarwal and Luning Bakke and Yulong Yue and Xin Wei and Radu Serban and Dan Negruţ},
author = {Aidan P. Thompson and H. Metin Aktulga and Richard Berger and Dan S. Bolintineanu and W. Michael Brown and Paul S. Crozier and Pieter J. {in 't Veld} and Axel Kohlmeyer and Stan G. Moore and Trung Dac Nguyen and Ray Shan and Mark J. Stevens and Julien Tranchida and Christian Trott and Steven J. Plimpton},
title={Modeling connected granular media: Particle bonding within the level set discrete element method},
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author={Harmon, John M and Karapiperis, Konstantinos and Li, Liuchi and Moreland, Scott and Andrade, Jos{\'e} E},
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journal={Computer Methods in Applied Mechanics and Engineering},
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volume={373},
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pages={113486},
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year={2021},
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publisher={Elsevier}
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@article{dosta2024comparing,
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title={Comparing open-source DEM frameworks for simulations of common bulk processes},
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author={Dosta, Maksym and Andr{\'e}, Damien and Angelidakis, Vasileios and Caulk, Robert A and Celigueta, Miguel Angel and Chareyre, Bruno and Dietiker, J-F and Girardot, J and Govender, Nicolin and Hubert, C and others},
title={Blaze-DEMGPU: Modular high performance DEM framework for the GPU architecture},
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author={Govender, Nicolin and Wilke, Daniel N and Kok, Schalk},
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journal={SoftwareX},
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volume={5},
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pages={62--66},
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year={2016},
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publisher={Elsevier}
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}
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@article{yade2021,
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title = {Yade Documentation (3rd edition)},
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author = {Smilauer, Vaclav and Angelidakis, Vasileios and Catalano, Emanuele and Caulk, Robert and Chareyre, Bruno and Ch{\ifmmode\grave{e}\else\`{e}\fi}vremont, William and Dorofeenko, Sergei and Duriez, J{\ifmmode\acute{e}\else\'{e}\fi}r{\ifmmode\hat{o}\else\^{o}\fi}me and Dyck, Nolan and Elias, Jan and Er, Burak and Eulitz, Alexander and Gladky, Anton and Guo, Ning and Jakob, Christian and Kneib, Francois and Kozicki, Janek and Marzougui, Donia and Maurin, Raphael and Modenese, Chiara and Pekmezi, Gerald and Scholt{\ifmmode\grave{e}\else\`{e}\fi}s, Luc and Sibille, Luc and Stransky, Jan and Sweijen, Thomas and Thoeni, Klaus and Yuan, Chao},
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year = {2021},
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journal = {Zenodo},
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doi = {10.5281/zenodo.5705394}
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}
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@article{THOMPSON2022108171,
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title = {LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales},
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journal = {Computer Physics Communications},
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volume = {271},
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pages = {108171},
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year = {2022},
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issn = {0010-4655},
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doi = {https://doi.org/10.1016/j.cpc.2021.108171},
author = {Aidan P. Thompson and H. Metin Aktulga and Richard Berger and Dan S. Bolintineanu and W. Michael Brown and Paul S. Crozier and Pieter J. {in 't Veld} and Axel Kohlmeyer and Stan G. Moore and Trung Dac Nguyen and Ray Shan and Mark J. Stevens and Julien Tranchida and Christian Trott and Steven J. Plimpton},
abstract = {A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.}
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@article{lipton2019complex,
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author = {Lipton, Robert P. and Lehoucq, Richard B. and Jha, Prashant K.},
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journal = {Journal of Peridynamics and Nonlocal Modeling},
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number = {2},
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pages = {122--130},
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publisher = {Springer},
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title = {Complex fracture nucleation and evolution with nonlocal elastodynamics},
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@@ -29,7 +29,7 @@ Implemented in \texttt{C++}, PeriDEM is designed for extensibility and ease of d
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# Statement of Need
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Granular materials play a central role in many engineered systems, but modeling their behavior under high loading, deformation, and fragmentation remains an open problem. Popular open-source DEM codes such as YADE [@yade2021], BlazeDEM [@govender2016blaze], Chrono DEM-Engine [@zhang_2024_deme], and LAMMPS [@THOMPSON2022108171] are widely used but typically treat particles as rigid, limiting their accuracy in scenarios involving internal deformation and breakage. A recent review by Dosta et al. [@dosta2024comparing] compares several DEM libraries. Meanwhile, peridynamics-based codes such as Peridigm [@littlewood2024peridigm] and NLMech [@Jha2021] are designed to simulate deformation and fracture within a single structure, with limited support for multi-structure simulations.
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Granular materials play a central role in many engineered systems, but modeling their behavior under high loading, deformation, and fragmentation remains an open problem. Popular open-source DEM codes such as YADE [@yade2021], BlazeDEM [@govender2016blaze], Chrono DEM-Engine [@zhang_2024_deme], and LAMMPS [@THOMPSON2022108171] are widely used but typically treat particles as rigid, limiting their accuracy in scenarios involving internal deformation and breakage. A recent review by Dosta et al. [@dosta2024comparing] compares several DEM libraries. Meanwhile, peridynamics-based codes such as Peridigm [@littlewood2024peridigm] and NLMech [@Jha2021NLMech] are designed to simulate deformation and fracture within a single structure, with limited support for multi-structure simulations.
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PeriDEM fills this gap by integrating state-based peridynamics for intra-particle deformation with DEM-style contact laws for particle interactions. This hybrid approach enables direct simulation of particle fragmentation, stress redistribution, and dynamic failure propagation—capabilities essential for modeling granular compaction, attrition, and crushing.
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