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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
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.
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

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