Shape memory alloys, Part II: Modeling of polycrystals

Dimitris C. Lagoudas*, Pavlin B. Entchev, Peter Popov, Etienne Patoor, L. Catherine Brinson, Xiujie Gao

*Corresponding author for this work

Research output: Contribution to journalArticle

262 Scopus citations

Abstract

The second part of this two-part paper summarizes work on the micromechanical modeling of polycrystalline shape memory alloys (SMAs). Averaging micromechanics methods based on the self-consistent approximation are used for the modeling of polycrystalline SMA thermomechanical behavior. The predictions of several models are directly compared and correlated with experimental results. Rate independent phenomenological models are then discussed, which are based on characterizing the inelastic fields associated with the phase transformation and transformation induced plasticity by using internal state variables. The resulting evolution equations are integrated using return mapping algorithms. Selected numerical simulations and comparison of the phenomenological models with the micromechanical ones are also presented.

Original languageEnglish (US)
Pages (from-to)430-462
Number of pages33
JournalMechanics of Materials
Volume38
Issue number5-6
DOIs
StatePublished - May 1 2006

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

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    Lagoudas, D. C., Entchev, P. B., Popov, P., Patoor, E., Brinson, L. C., & Gao, X. (2006). Shape memory alloys, Part II: Modeling of polycrystals. Mechanics of Materials, 38(5-6), 430-462. https://doi.org/10.1016/j.mechmat.2005.08.003