A three-dimensional non-isothermal Ginzburg-Landau phase-field model for shape memory alloys

R. Dhote, M. Fabrizio, R. Melnik, Jean Zu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, a macroscopic three-dimensional non-isothermal model is proposed for describing hysteresis phenomena and phase transformations in shape memory alloys (SMAs). The model is of phase-field type and is based on the Ginzburg-Landau theory. The hysteresis and phase transformations are governed by the kinetic phase evolution equation using the scalar order parameter, laws of conservation of the momentum and energy and a nonlinear coupling of the stress, the strain and the order parameter in a differential form. One of the important features of the model is that the phase transformation is governed by the stress tensor, as opposed to the transformation strain tensor typically used in the literature. The model takes into account different properties of austenite and martensite phases based on the compliance tensor as a function of the order parameter and stress. Representative numerical simulations on an SMA specimen reproduce hysteretic behaviors observed experimentally in the literature.

Original languageEnglish (US)
Article number085011
JournalModelling and Simulation in Materials Science and Engineering
Volume22
Issue number8
DOIs
StatePublished - Dec 1 2014
Externally publishedYes

Fingerprint

Ginzburg-Landau Model
Phase Field Model
Shape Memory
shape memory alloys
Shape memory effect
Phase Transformation
Order Parameter
Tensors
phase transformations
Three-dimensional
Phase transitions
Hysteresis
Tensor
hysteresis
tensors
Ginzburg-Landau Theory
Martensite
Phase Field
Stress Tensor
Differential Forms

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Materials Science(all)
  • Computer Science Applications
  • Modeling and Simulation

Cite this

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A three-dimensional non-isothermal Ginzburg-Landau phase-field model for shape memory alloys. / Dhote, R.; Fabrizio, M.; Melnik, R.; Zu, Jean.

In: Modelling and Simulation in Materials Science and Engineering, Vol. 22, No. 8, 085011, 01.12.2014.

Research output: Contribution to journalArticle

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