On Landau theory and symmetric energy landscapes for phase transitions


Hormann, K. and Zimmer, J., 2007. On Landau theory and symmetric energy landscapes for phase transitions. Journal of the Mechanics and Physics of Solids, 55 (7), pp. 1385-1409.

Related documents:

PDF (Hormann.2007.OLT) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (1065kB) | Preview

    Official URL:


    The aim of this presentation is the development of a general approach for modelling the global complex energy landscapes of phase transitions. For the sake of clarity and brevity the exposition is restricted to martensitic phase transition (i.e., diffusionless phase transitions in crystalline solids). The methods, however, are more broadly applicable. Explicit energy functions are derived for the cubic-to-tetragonal phase transition, where data are fitted for InTl. Another example is given for the cubic-to-monoclinic transition in CuZnAl. The resulting energies are defined globally, in a piecewise manner. We use splines that are twice continuously differentiable to ensure sufficient smoothness. The modular (piecewise) technique advocated here allows for modelling elastic moduli, energy barriers and other characteristics independent of each other. (C) 2007 Elsevier Ltd. All rights reserved.


    Item Type Articles
    CreatorsHormann, K.and Zimmer, J.
    DepartmentsFaculty of Science > Mathematical Sciences
    ID Code6973
    Additional InformationID number: ISI:000247888000003


    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...