Modeling and simulation of martensitic phase transitions with a triple point


Dondl, P. W. and Zimmer, J., 2004. Modeling and simulation of martensitic phase transitions with a triple point. Journal of the Mechanics and Physics of Solids, 52 (9), pp. 2057-2077.

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    A framework for modeling complex global energy landscapes in a piecewise manner is presented. Specifically, a class of strain-dependent energy functions is derived for the triple point of Zirconia (ZrO2), where tetragonal, orthorhombic (orthol) and monoclinic phases are stable. A simple two-dimensional framework is presented to deal with this symmetry breaking. An explicit energy is then fitted to the available elastic moduli of Zirconia in this two-dimensional setting. First, we use the orbit space method to deal with symmetry constraints in an easy way. Second, we introduce a modular (piecewise) approach to reproduce or model elastic moduli, energy barriers and other characteristics independently of each other in a sequence of local steps. This allows for more general results than the classical Landau theory (understood in the sense that the energy is a polynomial of invariant polynomials). The class of functions considered here is strictly larger. Finite-element simulations for the energy constructed here demonstrate the pattern formation in Zirconia at the triple point. (C) 2004 Elsevier Ltd. All rights reserved.


    Item Type Articles
    CreatorsDondl, P. W.and Zimmer, J.
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementzirconia19.pdf: Published version can be found at
    ID Code7252
    Additional InformationID number: ISI:000223813100006


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