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. Using results by Rindler, we prove the existence of optimal controls for a suitably large class of cost functionals.

Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials / Eleuteri, Michela; Luca, Lussardi. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - 3 no. 3:(2014), pp. 411-427. [10.3934/eect.2014.3.411]

Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials

ELEUTERI, Michela;
2014

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. Using results by Rindler, we prove the existence of optimal controls for a suitably large class of cost functionals.
2014
3 no. 3
411
427
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials / Eleuteri, Michela; Luca, Lussardi. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - 3 no. 3:(2014), pp. 411-427. [10.3934/eect.2014.3.411]
Eleuteri, Michela; Luca, Lussardi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1083344
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