Thermomechanical model for NiTi-based shape memory alloys covering macroscopic localization of martensitic transformation. (15th June 2021)

• Record Type: Journal Article
• Authors: Frost, M.; Benešová, B.; Seiner, H.; Kružík, M.; Šittner, P.; Sedlák, P.
• Is Part Of: International journal of solids and structures. Volume 221(2021)
• Page Start: 117
• Page End: 129
• Publication Date: 2021-06-15
• Subjects: NiTi shape memory alloys -- Constitutive modeling -- Localization -- Mori–Tanaka method; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2020.08.012
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.