Abstract : We consider two optimal control problems for first order martensitic phase transitions in a deformation--driven experiment on shape memory alloys including state constraints for the total stress and the temperature. We control by the elongation of a thin rod and by the outside temperature. The control problems are stated, and the necessary conditions of optimality are derived.
https://hal.inria.fr/inria-00073703 Contributor : Rapport de Recherche InriaConnect in order to contact the contributor Submitted on : Wednesday, May 24, 2006 - 1:33:53 PM Last modification on : Friday, February 4, 2022 - 3:23:44 AM Long-term archiving on: : Sunday, April 4, 2010 - 10:05:53 PM
Nikolaus Bubner, Jan Sokolowski, Jürgen Sprekels. Boundary Control Problems for Shape Memory Alloys under State Constraints. [Research Report] RR-2994, INRIA. 1996, pp.12. ⟨inria-00073703⟩