Multi-axial behavior of shape-memory alloys undergoing martensitic reorientation and detwinning

Recently, a rate-independent, finite-deformation-based crystal mechanics constitutive model for martensitic reorientation and detwinning in shape-memory alloys has been developed by Thamburaja [Thamburaja, P., 2005. Constitutive equations for martensitic reorientation and detwinning in shape-memory alloys. Journal of the Mechanics and Physics of Solids 53, 825-856] and implemented in the ABAQUS/Explicit [Abaqus reference manuals. 2005. Providence, RI] finite-element program. In this work, we show that the aforementioned model is able to quantitatively predict the experimental response of an initially textured and martensitic polycrystalline Ti-Ni rod under a variety of uniaxial and multi-axial stress states. By fitting the material parameters in the model to the stress-strain response in simple tension, the constitutive model predicts the stress-strain curves for experiments conducted under simple compression, torsion, proportional-loading tension-torsion, and path-change tension-torsion loading conditions to good accord. Furthermore the constitutive model also reproduces the force-displacement response for an indentation experiment to reasonable accuracy. (c) 2006 Elsevier Ltd. All rights reserved.