Volume 44, Number 6, November-December 2010
|Page(s)||1239 - 1253|
|Published online||17 March 2010|
Well-posedness of a thermo-mechanical model for shape memory alloys under tension
Matematický ústav AV ČR,
11567 Praha 1,
Czech Republic. firstname.lastname@example.org; http://www.math.cas.cz/ krejci/
2 IMATI – CNR, via Ferrata 1, 27100 Pavia, Italy. email@example.com; http://www.imati.cnr.it/ulisse
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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