Open Access
| Issue |
ESOMAT 2009
2009
|
|
|---|---|---|
| Article Number | 03008 | |
| Number of page(s) | 8 | |
| Section | Principles, Simulations, Materials: Mathematical Modelling | |
| DOI | https://doi.org/10.1051/esomat/200903008 | |
| Published online | 01 September 2009 | |
ESOMAT 2009, 03008 (2009)
DOI: 10.1051/esomat/200903008
1 Mathematical Institute, 24-29 St. Giles, University of Oxford, Oxford, OX1 3LB, UK
2 Laboratoire D’Etude des Microstructures, ONERA, 29 Avenue de la Division Leclerc, 92322 Chatillon, France
muite@maths.ox.ac.uk
salman@onera.fr
Published online: 1 September 2009
© Owned by the authors, published by EDP Sciences 2009
DOI: 10.1051/esomat/200903008
Computations of geometrically linear and nonlinear Ginzburg-Landau mo dels for martensitic pattern formation
B.K. Muite1 and O.U. Salman21 Mathematical Institute, 24-29 St. Giles, University of Oxford, Oxford, OX1 3LB, UK
2 Laboratoire D’Etude des Microstructures, ONERA, 29 Avenue de la Division Leclerc, 92322 Chatillon, France
muite@maths.ox.ac.uk
salman@onera.fr
Published online: 1 September 2009
Abstract
Computations show that a two dimensional geometrically nonlinear Ginzburg-Landau
model with inertia exhibits long lived metastable states, that have martensite domains
with split tips and bent needles similar to those observed in NiAl. In comparison, the
geometrically linear model quickly relaxes to states with twins which extend all the
way across the sample and have only short lived tip splitting and needle bending.
Note to the reader:
On page 03008-p4, Fig. 2 has been corrected on September 16, 2009
© Owned by the authors, published by EDP Sciences 2009