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Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys

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Abstract

In this paper we investigate mathematically F. Falk's one-dimensional Oinzburg-Landau model for the martensitic phase transitions in shape memory alloys. In particular, we are interested in possible steady state configurations, i.e. we look for distributions for the austenitic and martensitic phases remaining constant in time while the outside temperature is maintained constant, and no body forces, distributed heat sources or boundary stresses are applied.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, 55455, Minneapolis, Minnesota, USA

    A. Friedman

  2. Universität-GHS-Essen, Fachbereich 10, Postfach 103764, D-4300, Essen 1, FRG

    J. Sprekels

Authors
  1. A. Friedman
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  2. J. Sprekels
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Friedman, A., Sprekels, J. Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys. Continuum Mech. Thermodyn 2, 199–213 (1990). https://doi.org/10.1007/BF01129597

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  • DOI: https://doi.org/10.1007/BF01129597

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