% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Strobl:1008191,
      author       = {Strobl, Rachel and Budnitzki, Michael and Sandfeld, Stefan},
      title        = {{D}islocation {M}otion {I}nduced by {T}hermally {D}riven
                      {P}hase {T}ransformations},
      journal      = {Proceedings in applied mathematics and mechanics},
      volume       = {23},
      number       = {1},
      issn         = {1617-7061},
      address      = {Weinheim},
      publisher    = {Wiley-VCH},
      reportid     = {FZJ-2023-02237},
      pages        = {e202200244},
      year         = {2023},
      abstract     = {The interaction of dislocations with phase boundaries is an
                      interesting aspect of the interplay between phase
                      transformation and plasticity at the nano-scale. We capture
                      this interaction within a phase field framework coupled to
                      discrete dislocation dynamics. In order to regularize the
                      stress and driving force for phase evolution at the
                      dislocation core, a first strain-gradient elasticity
                      approach is used, which leads to more physical,
                      discretization-independent numerical solutions.From a
                      mathematical point of view, this results in a system of
                      coupled partial differential equations (PDEs) and ordinary
                      differential equations (ODEs). The PDEs include an equation
                      analogous to the balance of linear momentum, a second-order
                      tensor-valued Helmholtz-type equation for the true stress as
                      well as a time-dependent Ginzburg-Landau equation for the
                      evolution of the phase field. The ODEs are the equations of
                      motion of the dislocations. The dislocations are modeled as
                      lamellae with eigenstrain that can evolve with time; the
                      resulting stress field is an outcome of the numerical
                      solution. A parallel framework was developed in order to
                      solve these coupled dynamics problems using the finite
                      element library FEniCS. We show the effect of dislocations
                      on phase microstructure as well as the influence of phase
                      microstructure on the motion of dislocations using an
                      illustrative example of a thermally-driven planar phase
                      boundary, and its interaction with a single edge
                      dislocation.},
      cin          = {IAS-9},
      ddc          = {510},
      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},
      doi          = {10.1002/pamm.202200244},
      url          = {https://juser.fz-juelich.de/record/1008191},
}