Zimmer, J., 2004. Stored energy functions for phase transitions in crystals. Archive for Rational Mechanics and Analysis, 172 (2), pp. 191-212.
A method is presented to construct nonconvex free energies that are invariant under a symmetry group. Algebraic and geometric methods are used to determine invariant functions with the right location of minimizers. The methods are illustrated for symmetry-breaking martensitic phase transformations. Computer algebra is used to compute a basis of the corresponding class of invariant functions. Several phase transitions, such as cubic-to-orthorhombic, are discussed. An explicit example of an energy for the cubic-to-tetragonal phase transition is given.
|Item Type ||Articles|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||energy.pdf: This is the pre-peer reviewed version of the following article: Zimmer, J. (2004). Stored energy functions for phase transitions in crystals. Archive for Rational Mechanics and Analysis, 172(2), 191-212. 10.1007/s00205-003-0286-1, which has been published in final form at http://dx.doi.org/10.1007/s00205-003-0286-1. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."|
|Additional Information||ID number: ISI:000220995400002|
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