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@PHDTHESIS{Ebrahimi:50631,
      author       = {Ebrahimi, Zohreh},
      othercontributors = {Bührig-Polaczek, Andreas},
      title        = {{M}icromechanical phase-field model and simulation of
                      eutectic growth with misfit stresses},
      address      = {Aachen},
      publisher    = {Publikationsserver der RWTH Aachen University},
      reportid     = {RWTH-CONV-113167},
      pages        = {XIII, 178 S. : Ill., graph. Darst.},
      year         = {2010},
      note         = {Zsfassung in dt. und engl. Sprache; Aachen, Techn.
                      Hochsch., Diss., 2010},
      abstract     = {Precise understanding of eutectic solidification and its
                      controlling parameters is crucial in characterizing of many
                      metal products. Numerical simulations are required to
                      predict the formation of eutectic lamellae and the resulting
                      microstructure which, in turn, determines the macroscopic
                      mechanical properties of casting alloys. In this work, we
                      aim to develop a micromechanical phase-field model to assess
                      the eutectic solidification in alloys with coherent elastic
                      misfit. First, we generalize an existing phase-field method
                      of diffusion-limited two-phase growth [Phys. Rev. E, 70
                      (2004) 061604] to a model of free-volume eutectic growth
                      with coupled heat and solute diffusion. Secondly, we develop
                      an elastic phase-field model based on linear microelasticity
                      theory by considering elastic inhomogeneity to incorporate
                      the elastic interactions arising from the mismatch between
                      coherent phases in eutectic growth. Next, we apply the
                      elastic phase-field model to an organic alloy by assuming
                      isotropic elasticity and evaluate the corresponding stress
                      and strain distributions. Moreover, we generalize our
                      elastic model to consider the anisotropy in materials. The
                      effect of the thermal gradient and the local undercooling
                      are also studied to understand the occurrence of lamellae in
                      directional and free-volume eutectic growth in Ti-Fe alloys.
                      Finally, we extend the elastic phase-field model to multiple
                      orientations for a limited number of eutectic nuclei.},
      keywords     = {Phasenfeldmodell (SWD) / Erstarrung (SWD) / Binäre
                      Legierung (SWD) / Titanlegierung (SWD)},
      cin          = {080003 / 526110 / 520000 / 120000},
      ddc          = {620},
      cid          = {$I:(DE-82)080003_20140620$ / $I:(DE-82)526110_20140620$ /
                      $I:(DE-82)520000_20140620$ / $I:(DE-82)120000_20140620$},
      shelfmark    = {64.70.D- * 81.30.Fb * 37M05 * 81.30.Bx * 07.05.Tp},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-opus-34465},
      url          = {https://publications.rwth-aachen.de/record/50631},
}