A model of shape memory alloys taking into account plasticity

Martin Kruizik, J Zimmer

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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. 2010 The Author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Original languageEnglish
Pages (from-to)193-216
Number of pages24
JournalIMA Journal of Applied Mathematics
Volume76
Issue number1
DOIs
Publication statusPublished - Feb 2011

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