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@ARTICLE{Song:891901,
      author       = {Song, Hengxu and Gunkelmann, Nina and Po, Giacomo and
                      Sandfeld, Stefan},
      title        = {{D}ata-mining of dislocation microstructures: concepts for
                      coarse-graining of internal energies},
      journal      = {Modelling and simulation in materials science and
                      engineering},
      volume       = {29},
      number       = {3},
      issn         = {1361-651X},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2021-01813},
      pages        = {035005 -},
      year         = {2021},
      abstract     = {Continuum models of dislocation plasticity require
                      constitutive closure assumptions, e.g., by relating details
                      of the dislocation microstructure to energy densities.
                      Currently, there is no systematic way for deriving or
                      extracting such information from reference simulations, such
                      as discrete dislocation dynamics (DDD) or molecular
                      dynamics. Here, a novel data-mining approach is proposed
                      through which energy density data from systems of discrete
                      dislocations can be extracted. Our approach relies on a
                      systematic and controlled coarse-graining process and
                      thereby is consistent with the length scale of interest. For
                      data-mining, a range of different dislocation
                      microstructures that were generated from 2D and 3D DDD
                      simulations, are used. The analyses of the data sets result
                      in energy density formulations as a function of various
                      dislocation density fields. The proposed approach solves the
                      long-standing problem of voxel-size dependent energy
                      calculation during coarse graining of dislocation
                      microstructures. Thus, it is crucial for any continuum
                      dislocation dynamics simulation.},
      cin          = {IAS-9},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-9-20201008},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / MuDiLingo - A
                      Multiscale Dislocation Language for Data-Driven Materials
                      Science (759419)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(EU-Grant)759419},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000639931600001},
      doi          = {10.1088/1361-651X/abdc6b},
      url          = {https://juser.fz-juelich.de/record/891901},
}