A model of shape memory alloys taking into account plasticity

Martin Kruižík, Johannes Zimmer

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid-solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the spaceof Young measures.

Original languageEnglish
Pages (from-to)193-216
Number of pages24
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Issue number1
StatePublished - Feb 2011
Externally publishedYes


  • elasto-plasticity
  • energetic solution
  • plastic strain gradients


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