An isotropic-plasticity-based constitutive model for martensitic reorientation and shape-memory effect in shape-memory alloys

H. Pan, T Prakash G. Thamburaja, F. S. Chau

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this work, we develop an isotropic-plasticity-based constitutive model for initially martensitic shape-memory alloys (SMA) which exhibit martensitic reorientation and the shape-memory effect. The constitutive model is then implemented in the [Abaqus reference manuals. 2006. Providence, R.I.] finite-element program by writing a user-material subroutine. The results from the constitutive model and numerical procedure are then compared to representative physical experiments conducted on polycrystalline rod and sheet Ti-Ni. The constitutive model and the numerical simulations are able to reproduce the stress-strain responses from these physical experiments to good accuracy. Finally, two different boundary value problems utilizing the one-way shape-memory effect are studied: (a) the deformation of an arterial stent, and (b) a micro-clamper. We show that our constitutive model can be used to model the response of the aforementioned boundary value examples.

Original languageEnglish
Pages (from-to)7688-7712
Number of pages25
JournalInternational Journal of Solids and Structures
Volume44
Issue number22-23
DOIs
Publication statusPublished - Nov 2007
Externally publishedYes

Fingerprint

Memory Effect
Shape Memory
shape memory alloys
Constitutive Model
Constitutive models
Shape memory effect
plastic properties
Plasticity
retraining
Stent
Stents
Subroutines
subroutines
Numerical Procedure
Boundary Value
Boundary value problems
Experiment
boundary value problems
Experiments
Boundary Value Problem

Keywords

  • Constitutive behavior
  • Finite elements
  • Martensitic reorientation
  • Mechanical testing
  • Plasticity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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abstract = "In this work, we develop an isotropic-plasticity-based constitutive model for initially martensitic shape-memory alloys (SMA) which exhibit martensitic reorientation and the shape-memory effect. The constitutive model is then implemented in the [Abaqus reference manuals. 2006. Providence, R.I.] finite-element program by writing a user-material subroutine. The results from the constitutive model and numerical procedure are then compared to representative physical experiments conducted on polycrystalline rod and sheet Ti-Ni. The constitutive model and the numerical simulations are able to reproduce the stress-strain responses from these physical experiments to good accuracy. Finally, two different boundary value problems utilizing the one-way shape-memory effect are studied: (a) the deformation of an arterial stent, and (b) a micro-clamper. We show that our constitutive model can be used to model the response of the aforementioned boundary value examples.",
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AU - G. Thamburaja, T Prakash

AU - Chau, F. S.

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N2 - In this work, we develop an isotropic-plasticity-based constitutive model for initially martensitic shape-memory alloys (SMA) which exhibit martensitic reorientation and the shape-memory effect. The constitutive model is then implemented in the [Abaqus reference manuals. 2006. Providence, R.I.] finite-element program by writing a user-material subroutine. The results from the constitutive model and numerical procedure are then compared to representative physical experiments conducted on polycrystalline rod and sheet Ti-Ni. The constitutive model and the numerical simulations are able to reproduce the stress-strain responses from these physical experiments to good accuracy. Finally, two different boundary value problems utilizing the one-way shape-memory effect are studied: (a) the deformation of an arterial stent, and (b) a micro-clamper. We show that our constitutive model can be used to model the response of the aforementioned boundary value examples.

AB - In this work, we develop an isotropic-plasticity-based constitutive model for initially martensitic shape-memory alloys (SMA) which exhibit martensitic reorientation and the shape-memory effect. The constitutive model is then implemented in the [Abaqus reference manuals. 2006. Providence, R.I.] finite-element program by writing a user-material subroutine. The results from the constitutive model and numerical procedure are then compared to representative physical experiments conducted on polycrystalline rod and sheet Ti-Ni. The constitutive model and the numerical simulations are able to reproduce the stress-strain responses from these physical experiments to good accuracy. Finally, two different boundary value problems utilizing the one-way shape-memory effect are studied: (a) the deformation of an arterial stent, and (b) a micro-clamper. We show that our constitutive model can be used to model the response of the aforementioned boundary value examples.

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KW - Mechanical testing

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