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Modeling and simulation of martensitic phase transitions with a triple point


Reference:

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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Official URL:

http://dx.doi.org/10.1016/j.jmps.2004.03.001

Abstract

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.

Details

Item Type Articles
CreatorsDondl, P. W.and Zimmer, J.
DOI10.1016/j.jmps.2004.03.001
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code7252
Additional InformationID number: ISI:000223813100006

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