Abstract
We address the thermal control of the quasi-static evolution of a polycrystalline shape memory alloy specimen. The thermomechanical evolution of the body is described by means of an extension of the phenomenological Souza-Auricchio model accounting also for permanent inelastic effects. By assuming to be able to control the temperature of the body in time we determine the corresponding quasi-static evolution in the energetic sense. In a similar way, using results by Rindler we prove the existence of optimal controls for a suitably large class of cost functionals.
Lingua originale | English |
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pagine (da-a) | 411-427 |
Numero di pagine | 17 |
Rivista | Evolution Equations and Control Theory |
Volume | 3 |
DOI | |
Stato di pubblicazione | Pubblicato - 2014 |
Pubblicato esternamente | Sì |
Keywords
- Shape memory alloys
- optimal control