A three-dimensional phenomenological model for martensite reorientation in shape memory alloys

M. Panico, L. C. Brinson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

238 Scopus citations


In this work, we propose a macroscopic phenomenological model that is based on the classical framework of thermodynamics of irreversible processes and accounts for the effect of multiaxial stress states and non-proportional loading histories. The model is able to account for the evolution of both twinned and detwinned martensite. Moreover, reorientation of the product phase according to loading direction is specifically accounted for. Towards this purpose the inelastic strain is split into two contributions deriving, respectively, from creation of detwinned martensite and reorientation of previously existing martensite variants. Computational tests demonstrate the ability of the model to simulate the main aspects of the shape memory response in a one-dimensional setting and some of the features that have been experimentally found in the case of multiaxial non-proportional loading histories. Experimental non-proportional loading paths have also been simulated and a good qualitative agreement between numerical and experimental response is observed.

Original languageEnglish (US)
Pages (from-to)2491-2511
Number of pages21
JournalJournal of the Mechanics and Physics of Solids
Issue number11
StatePublished - Nov 2007


  • Constitutive behavior
  • Multiaxial non-proportional loading
  • Phase transformation
  • Shape memory alloys
  • Simulations

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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