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@ARTICLE{Budnitzki:887968,
      author       = {Budnitzki, M. and Sandfeld, Stefan},
      title        = {{A} model for the interaction of dislocations with planar
                      defects based on {A}llen–{C}ahn type microstructure
                      evolution coupled to strain gradient elasticity},
      journal      = {Journal of the mechanics and physics of solids},
      volume       = {150},
      issn         = {0022-5096},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2020-04554},
      pages        = {104222 -},
      year         = {2021},
      abstract     = {In classical elasticity theory the stress-field of a
                      dislocation is characterized by a -type singularity. When
                      such a dislocation is considered together with an
                      Allen-Cahn-type phase-field description for microstructure
                      evolution this leads to singular driving forces for the
                      order parameter, resulting in non-physical (and
                      discretization-dependent) predictions for the interaction
                      between dislocations and phase-, twin- or grain-boundaries.
                      We introduce a framework based on first strain gradient
                      elasticity to regularize the dislocation core. It is shown
                      that the use of strain energy density that is quadratic in
                      the gradient of elastic deformation results in non-singular
                      stresses but may result in singular driving forces, whereas
                      a strain energy, which is quadratic in the gradient of the
                      full deformation tensor, regularizes both stresses and
                      driving forces for the order parameter and is therefore a
                      suitable choice. The applicability of the framework is
                      demonstrated using a comprehensive example.},
      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)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000698509700001},
      doi          = {10.1016/j.jmps.2020.104222},
      url          = {https://juser.fz-juelich.de/record/887968},
}