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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:221

Article

Frost, M.^1,2  Benesova, B.^1,3  Seiner, H.¹  Kruzik, M.⁴  Sittner, P.^2,5  Sedlak, P.^1,2 

[1] Czech Acad Sci, Inst Thermomech, Dolejskova 5, Prague 18200, Czech Republic

[2] Czech Acad Sci, Nucl Phys Inst, Husinec Rez 25068, Czech Republic

[3] Charles Univ Prague, Dept Math Anal, Sokolovska 83, Prague 18600, Czech Republic

[4] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, Prague 18200, Czech Republic

[5] Czech Acad Sci, Inst Phys, Slovance 2, Prague 18221, Czech Republic

关键词: NiTi shape memory alloys;    Constitutive modeling;    Localization;    Mori-Tanaka method;   

DOI  :  10.1016/j.ijsolstr.2020.08.012

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

Free