WIAS Preprint No. 1257, (2007)

Thermally driven phase transformation in shape-memory alloys


  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Petrov, Adrien

2010 Mathematics Subject Classification

  • 49J40 74C05 74F05 74M05 74N30


  • Shape-memory materials, doubly nonlinear differential inclusion, rate-independent processes, energetic formulation, temperature-induced phase transformation


This paper analyzes a model for phase transformation in shape-memory alloys induced by temperature changes and by mechanical loading. We assume that the temperature is prescribed and formulate the problem within the framework of the energetic theory of rate-independent processes. Existence and uniqueness results are proved.

Appeared in

  • Adv. Math. Sci. Appl., 17 (2007) pp. 667--685.

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