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Well-posedness of a thermo-mechanical modelfor shape memory alloys under tension

Published online by Cambridge University Press:  17 March 2010

Pavel Krejčí  and
Ulisse Stefanelli
Pavel Krejčí
Affiliation:
Matematický ústav AV ČR, Žitná 25, 11567 Praha 1, Czech Republic. krejci@math.cas.cz; http://www.math.cas.cz/ krejci/
Ulisse Stefanelli
Affiliation:
IMATI – CNR, via Ferrata 1, 27100 Pavia, Italy. stefanelli@imati.cnr.it; http://www.imati.cnr.it/ulisse
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Abstract

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.

Keywords

Shape memory alloysthermo-mechanicswell-posednesshysteresis operator

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Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 6 , November 2010 , pp. 1239 - 1253
Copyright
© EDP Sciences, SMAI, 2010

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