Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ijplas.2009.12.004
Title: A finite-deformation-based phenomenological theory for shape-memory alloys
Authors: Thamburaja, P. 
Keywords: A. Shape-memory alloys
B. Constitutive behavior
C. Finite elements
Plasticity
Issue Date: Aug-2010
Source: Thamburaja, P. (2010-08). A finite-deformation-based phenomenological theory for shape-memory alloys. International Journal of Plasticity 26 (8) : 1195-1219. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ijplas.2009.12.004
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. © 2010 Elsevier Ltd. All rights reserved.
Source Title: International Journal of Plasticity
URI: http://scholarbank.nus.edu.sg/handle/10635/54151
ISSN: 07496419
DOI: 10.1016/j.ijplas.2009.12.004
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

42
checked on Dec 13, 2017

WEB OF SCIENCETM
Citations

40
checked on Nov 16, 2017

Page view(s)

36
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.