Thermomechanical model for NiTi-based shape memory alloys covering macroscopic localization of martensitic transformation

The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic transformation. The key point is the introduction of a novel aust...

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Bibliographic Details
Published in:International journal of solids and structures 2021-06, Vol.221, p.117-129
Main Authors: Frost, M., Benešová, B., Seiner, H., Kružík, M., Šittner, P., Sedlák, P.
Format: Article
Language:English
Subjects:
Constitutive modeling
Finite element method
Intermetallic compounds
Localization
Martensite
Martensitic transformations
Mathematical analysis
Mathematical models
Mori–Tanaka method
Nickel base alloys
Nickel compounds
Nickel titanides
NiTi shape memory alloys
Regularization
Shape memory alloys
Superelasticity
Thermomechanical analysis
Titanium compounds
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Summary:The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic transformation. The key point is the introduction of a novel austenite–martensite interaction term responsible for the strain-softening of the material. Mathematical properties of the model are analyzed, and a suitable regularization and a time-discrete approximation for numerical implementation to the finite-element method are proposed. Model performance is illustrated on two numerical simulations: the tension of a superelastic NiTi ribbon and bending of a superelastic NiTi tube.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2020.08.012