Macroscopic modeling of NiTiHf under different loading modes: A finite difference method

Nazanin Farjam, Reza Mehrabi, Haluk Karaca, Mohammad Elahinia

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


High-temperature shape memory alloys have remarkably solved the limitation of conventional shape memory alloys working at low levels of temperature and stress. The focus of this study is on a semi-analytical constitutive model for high-temperature shape memory alloys to predict their mechanical behavior. The model is based on Gibbs free energy, and the equations are simplified for NiTiHf at different loading conditions. A uniaxial compression case is used to validate the model with the experimental results. Superelastic behavior and also heating and cooling at different stress levels are compared to the experimental data reported in the literature. The nonlinear equations are solved using finite difference method, which is capable to calculate the distribution of strain and phase transformation along the cross section for various loading modes. Several more case studies on pure torsion and multiaxial loading are also investigated to show the capabilities of this approach.

Original languageEnglish
Pages (from-to)2544-2553
Number of pages10
JournalJournal of Intelligent Material Systems and Structures
Issue number11
StatePublished - Jul 1 2018

Bibliographical note

Publisher Copyright:
© The Author(s) 2018.


  • High-temperature shape memory alloys
  • NiTiHf
  • analytical solution
  • multiaxial loading

ASJC Scopus subject areas

  • General Materials Science
  • Mechanical Engineering


Dive into the research topics of 'Macroscopic modeling of NiTiHf under different loading modes: A finite difference method'. Together they form a unique fingerprint.

Cite this