WIAS Preprint No. 276, (1996)

Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature



Authors

  • Bubner, Nikolaus
  • Sokolowski, Jan
  • Sprekels, Jürgen

2010 Mathematics Subject Classification

  • 49K20 93C20

Keywords

  • Shape memory alloys, phase transitions, state constraints, optimality conditions

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.

Appeared in

  • Numer. Funct. Anal. Optim., 19 (1998), no. 5 & 6, pp. 489-498

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