Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommodation

► Constitutive model for SMA developed to capture transformation and reorientation, suitable for non–proportional loadings. ► Include the effect of the accommodation of twins and features such tension-compression asymmetry amd internal loops during transformation. ► Capture the superelastic behavior...

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Bibliographic Details
Published in:Mechanics of materials 2011-07, Vol.43 (7), p.361-376
Main Authors: Chemisky, Y., Duval, A., Patoor, E., Ben Zineb, T.
Format: Article
Language:English
Subjects:
Accommodation of twins
Active materials
Applied sciences
Condensed matter: structure, mechanical and thermal properties
Elasticity. Plasticity
Equations of state, phase equilibria, and phase transitions
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Martensitic phase transformation
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Mechanics
Mechanics of materials
Metals. Metallurgy
Multiaxial loading
Physics
Reorientation
Shape memory alloys
Solid mechanics
Solid-solid transitions
Specific phase transitions
Statistical physics, thermodynamics, and nonlinear dynamical systems
Structural and continuum mechanics
Thermodynamics
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Summary:► Constitutive model for SMA developed to capture transformation and reorientation, suitable for non–proportional loadings. ► Include the effect of the accommodation of twins and features such tension-compression asymmetry amd internal loops during transformation. ► Capture the superelastic behavior, shape memory effect, thermal actuation under strain, and stress recovery. This paper deals with the thermomechanical modeling of the macroscopic behavior of NiTi shape memory alloys (SMAs). A phenomenological 3D-model, based on thermodynamics of irreversible processes is presented. Three main physical mechanisms are considered: the martensitic transformation, the reorientation of martensite and the inelastic accommodation of twins in self-accommodated martensite. The description of such strain mechanisms allow an accurate analysis of SMA behavior under complex thermomechanical paths, especially when transformation occurs at low stress level. Moreover, some key characteristics such as tension–compression asymmetry and internal loops inside the major hysteresis loop are taken into account. Numerical simulations for various theromechanical loading paths are presented to illustrate the present model capability to capture the complex behavior of SMAs
ISSN:0167-6636
1872-7743
DOI:10.1016/j.mechmat.2011.04.003