We present a model of the full thermo-mechanical evolution of a shape memory body undergoing a uniaxial tensile stress. The well-posedness of the related quasi-static thermo-inelastic problem is addressed by means of hysteresis operators techniques. As a by-product, details on a time-discretization of the problem are provided.
@article{M2AN_2010__44_6_1239_0,
author = {Krej\v c\'\i , Pavel and Stefanelli, Ulisse},
title = {Well-posedness of a thermo-mechanical model for shape memory alloys under tension},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {44},
year = {2010},
pages = {1239-1253},
doi = {10.1051/m2an/2010024},
mrnumber = {2769056},
zbl = {pre05835020},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2010__44_6_1239_0}
}
Krejčí, Pavel; Stefanelli, Ulisse. Well-posedness of a thermo-mechanical model for shape memory alloys under tension. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 44 (2010) pp. 1239-1253. doi : 10.1051/m2an/2010024. http://gdmltest.u-ga.fr/item/M2AN_2010__44_6_1239_0/
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