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Boundary Control Problems for Shape Memory Alloys under State Constraints

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.
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https://hal.inria.fr/inria-00073703
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Submitted on : Wednesday, May 24, 2006 - 1:33:53 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:05:53 PM

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  • HAL Id : inria-00073703, version 1

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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⟩

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