A finite-deformation-based phenomenological theory for shape-memory alloys

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

In this work we develop a finite-deformation-based, thermo-mechanically- coupled and non-local phenomenological theory for polycrystalline shape-memory alloys (SMAs) capable of undergoing austenite ↔ martensite phase transformations. The constitutive model is developed in the isotropic plasticity setting using standard balance laws, thermodynamic laws and the theory of micro-force balance (Fried and Gurtin, 1994). The constitutive model is then implemented in the ABAQUS/Explicit (2009) finite-element program by writing a user-material subroutine. Material parameters in the constitutive model were fitted to a set of superelastic experiments conducted by Thamburaja and Anand (2001) on a polycrystalline rod Ti-Ni. With the material parameters calibrated, we show that the experimental stress-biased strain-temperature-cycling and shape-memory effect responses are qualitatively well-reproduced by the constitutive model and the numerical simulations. We also show the capability of our constitutive mode in studying the response of SMAs undergoing coupled thermo-mechanical loading and also multi-axial loading conditions by studying the deformation behavior of a stent unit cell. Finally, with the aid of finite-element simulations we also show that our non-local constitutive theory is able to accurately determine the position and motion of austenite-martensite interfaces during phase transformations regardless of mesh density and without the aid of jump conditions.

Original languageEnglish
Pages (from-to)1195-1219
Number of pages25
JournalInternational Journal of Plasticity
Volume26
Issue number8
DOIs
Publication statusPublished - Aug 2010
Externally publishedYes

Fingerprint

Constitutive models
Shape memory effect
Martensite
Austenite
Phase transitions
Stents
Subroutines
ABAQUS
Plasticity
Thermodynamics
Computer simulation
Experiments
Temperature

Keywords

  • A. Shape-memory alloys
  • B. Constitutive behavior
  • C. Finite elements
  • Plasticity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

A finite-deformation-based phenomenological theory for shape-memory alloys. / G. Thamburaja, T Prakash.

In: International Journal of Plasticity, Vol. 26, No. 8, 08.2010, p. 1195-1219.

Research output: Contribution to journalArticle

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