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.

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
Mots clés : shape memory alloys, thermo-mechanics, well-posedness, hysteresis operator
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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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