| Issue |
ESAIM: M2AN
Volume 44, Number 6, November-December 2010
|
|
|---|---|---|
| Page(s) | 1239 - 1253 | |
| DOI | https://doi.org/10.1051/m2an/2010024 | |
| Published online | 17 March 2010 | |
Well-posedness of a thermo-mechanical model for shape memory alloys under tension
1
Matematický ústav AV ČR,
Žitná 25,
11567 Praha 1,
Czech Republic. krejci@math.cas.cz; http://www.math.cas.cz/ krejci/
2
IMATI – CNR, via Ferrata 1, 27100 Pavia, Italy. stefanelli@imati.cnr.it;
http://www.imati.cnr.it/ulisse
Received:
9
July
2009
Revised:
14
December
2009
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.
Mathematics Subject Classification: 74N30 / 74C05 / 35K55
Key words: Shape memory alloys / thermo-mechanics / well-posedness / hysteresis operator
© EDP Sciences, SMAI, 2010
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