Open Access
Article Number 03008
Number of page(s) 8
Section Principles, Simulations, Materials: Mathematical Modelling
Published online 01 September 2009
ESOMAT 2009, 03008 (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. Salman2

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

Published online: 1 September 2009

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