Please use this identifier to cite or link to this item:
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
Issue Date: Aug-2010
Citation: 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.
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
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.


checked on Feb 21, 2019


checked on Feb 12, 2019

Page view(s)

checked on Feb 9, 2019

Google ScholarTM



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