Journal of Materials Science

, Volume 51, Issue 4, pp 1788–1797 | Cite as

Calibration of a multi-phase field model with quantitative angle measurement

  • Johannes HötzerEmail author
  • Oleg Tschukin
  • Marouen Ben Said
  • Marco Berghoff
  • Marcus Jainta
  • Georges Barthelemy
  • Nikolay Smorchkov
  • Daniel Schneider
  • Michael Selzer
  • Britta Nestler
HTC 2015


Over the last years, the phase-field method has been established to model capillarity-induced microstructural evolution in various material systems. Several phase-field models were introduced and different studies proved that the microstructure evolution is crucially affected by the triple junction (TJ’s) mobilities as well as the evolution of the dihedral angles. In order to understand basic mechanisms in multi-phase systems, we are interested in the time evolution of TJ’s, especially in the contact angles in these regions. Since the considered multi-phase systems consist of a high number of grains, it is not feasible to measure the angles at all TJ’s by hand. In this work, we present a method enabling the localization of TJ’s and the measurement of dihedral contact angles in the diffuse interface inherent in the phase-field model. Based on this contact angle measurement method, we show how to calibrate the phase-field model in order to satisfy Young’s law for different contact angles.


Contact Angle Interface Energy Grain Boundary Triple Point Triple Junction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Johannes Hötzer
    • 1
    • 2
    Email author
  • Oleg Tschukin
    • 2
  • Marouen Ben Said
    • 1
  • Marco Berghoff
    • 1
  • Marcus Jainta
    • 1
  • Georges Barthelemy
    • 1
  • Nikolay Smorchkov
    • 1
  • Daniel Schneider
    • 1
  • Michael Selzer
    • 1
    • 2
  • Britta Nestler
    • 1
    • 2
  1. 1.Institut für Angewandte Materialien, Computational Materials Science (IAM-CMS)Karlsruhe Institute of Technology (KIT)KarlsruheGermany
  2. 2.Institute of Materials and ProcessesKarlsruhe University of Applied SciencesKarlsruheGermany

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