Research Article

Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape-memory alloys

  1. Youngjean Jung1,
  2. Panayiotis Papadopoulos1,*,
  3. R. O. Ritchie2

Article first published online: 22 APR 2004

DOI: 10.1002/nme.940

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 60, Issue 2, pages 429–460, 14 May 2004

Additional Information

How to Cite

Jung, Y., Papadopoulos, P. and Ritchie, R. O. (2004), Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape-memory alloys. International Journal for Numerical Methods in Engineering, 60: 429–460. doi: 10.1002/nme.940

Author Information

  1. 1

    Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

  2. 2

    Department of Materials Science and Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

*Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

Publication History

  1. Issue published online: 22 APR 2004
  2. Article first published online: 22 APR 2004
  3. Manuscript Accepted: 7 JUL 2003
  4. Manuscript Revised: 2 JUN 2003
  5. Manuscript Received: 20 JAN 2003

Funded by

  • National Science Foundation. Grant Number: CMS-9800006

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Keywords:

  • phase transformation;
  • superelasticity;
  • Nitinol;
  • habit plane;
  • texture;
  • constrained minimization;
  • finite element method

Abstract

This work concerns the micromechanical constitutive modelling, algorithmic implementation and numerical simulation of polycrystalline superelastic alloys under multiaxial loading. The model is formulated in finite deformations and incorporates the effect of texture. The numerical implementation is based on the constrained minimization of the Helmholtz free energy with dissipation. Simulations are conducted for thin tubes of Nitinol under tension–torsion, as well as for a simplified model of a biomedical stent. Copyright © 2004 John Wiley & Sons, Ltd.

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