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.
Mots-clés : shape memory alloys, thermo-mechanics, well-posedness, hysteresis operator
@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 },
pages = {1239--1253},
publisher = {EDP-Sciences},
volume = {44},
number = {6},
year = {2010},
doi = {10.1051/m2an/2010024},
mrnumber = {2769056},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2010024/}
}
TY - JOUR AU - Krejčí, Pavel AU - Stefanelli, Ulisse TI - Well-posedness of a thermo-mechanical model for shape memory alloys under tension JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2010 SP - 1239 EP - 1253 VL - 44 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2010024/ DO - 10.1051/m2an/2010024 LA - en ID - M2AN_2010__44_6_1239_0 ER -
%0 Journal Article %A Krejčí, Pavel %A Stefanelli, Ulisse %T Well-posedness of a thermo-mechanical model for shape memory alloys under tension %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2010 %P 1239-1253 %V 44 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2010024/ %R 10.1051/m2an/2010024 %G en %F 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 , Tome 44 (2010) no. 6, pp. 1239-1253. doi : 10.1051/m2an/2010024. http://www.numdam.org/articles/10.1051/m2an/2010024/
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