Modeling transformation paths of multiphase materials: The triple point of zirconia

P W Dondl, K Hormann, J Zimmer

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We propose a general method for modeling transformation paths of multiphase materials such that elastic moduli can be fitted exactly. The energy landscape obtained in this way is global and automatically enjoys the correct symmetries. The method is applied to the triple point of zirconia, where tetragonal, orthorhombic (orthoI), and monoclinic phases meet. An explicit and relatively simple expression yields a phenomenological model in the two-dimensional space spanned by a set of order parameters. We also show how to extend this energy to a fully three-dimensional model with an exact fit of all given elastic moduli.
Original languageEnglish
Article number104114
JournalPhysical Review B
Issue number10
Publication statusPublished - Mar 2009


  • elastic moduli
  • critical points
  • zirconium compounds
  • solid-state phase transformations


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