Stored energy functions for phase transitions in crystals


Zimmer, J., 2004. Stored energy functions for phase transitions in crystals. Archive for Rational Mechanics and Analysis, 172 (2), pp. 191-212.

Related documents:

This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below.

Official URL:


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
CreatorsZimmer, J.
DepartmentsFaculty of Science > Mathematical Sciences
ID Code7191
Additional InformationID number: ISI:000220995400002


Actions (login required)

View Item