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We propose, analyze, and compare several numerical methods for the computation of the deformation of a pressurized martensitic thin film. Numerical results have been obtained for the hysteresis of the deformation as the film transforms reversibly from austenite to martensite.
@article{M2AN_2001__35_3_525_0,
author = {B\v{e}l{\'\i}k, Pavel and Brule, Timothy and Luskin, Mitchell},
title = {On the numerical modeling of deformations of pressurized martensitic thin films},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {525--548},
publisher = {EDP-Sciences},
volume = {35},
number = {3},
year = {2001},
mrnumber = {1837083},
zbl = {1062.74047},
language = {en},
url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_525_0/}
}
TY - JOUR AU - Bělík, Pavel AU - Brule, Timothy AU - Luskin, Mitchell TI - On the numerical modeling of deformations of pressurized martensitic thin films JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2001 SP - 525 EP - 548 VL - 35 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_525_0/ LA - en ID - M2AN_2001__35_3_525_0 ER -
%0 Journal Article %A Bělík, Pavel %A Brule, Timothy %A Luskin, Mitchell %T On the numerical modeling of deformations of pressurized martensitic thin films %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2001 %P 525-548 %V 35 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_525_0/ %G en %F M2AN_2001__35_3_525_0
Bělík, Pavel; Brule, Timothy; Luskin, Mitchell. On the numerical modeling of deformations of pressurized martensitic thin films. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 3, pp. 525-548. http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_525_0/