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

Luca Lussardi, Michela Eleuteri

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)411-427
Numero di pagine17
RivistaEvolution Equations and Control Theory
Volume3
DOI
Stato di pubblicazionePubblicato - 2014

Keywords

  • Shape memory alloys
  • optimal control

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