Geodesic
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 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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.

DOI : 10.1051/m2an/2010024
Classification : 74N30, 74C05, 35K55
Keywords: 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},
     year = {2010},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {6},
     doi = {10.1051/m2an/2010024},
     mrnumber = {2769056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :