An explicit and accurate approach toward simulating plastic-to-pseudoelastic transitions of SMAs under multiple loading and unloading cycles. (1st March 2020)

• Record Type: Journal Article
• Authors: Zhan, Lin; Wang, Xiao-Ming; Wang, Si-Yu; Xi, Hui-Feng; Xiao, Heng
• Is Part Of: International journal of solids and structures. Volume 185/186(2020)
• Page Start: 104
• Page End: 115
• Publication Date: 2020-03-01
• Subjects: Shape memory alloys -- Plasticity -- Pseudo-elasticity -- Loading cycles -- Continuous transitions -- Explicit simulation; 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.2019.08.024
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: New finite elastoplastic J 2 -flow equations are proposed for the purpose of explicitly simulating continuous transitions from plastic to pseudo-elastic effects of SMAs under multiple loading-unloading cycles. Novelties of such models are as follows: (i) New hardening effects are incorporated by introducing interplay between the changing of the yield surface radius and the moving of the yield surface center; (ii) extensive experimental data may be accurately simulated for any given number of loading-unloading cycles; (iii) the complicated task for simulating extensive data may be accomplished by independently fitting certain single-variable functions; and (iv) such single-variable functions may be presented in explicit forms for the purpose of automatically, accurately fitting extensive data, thus bypassing uncertainties and undue complexities usually involved in iteratively solving a coupled system of nonlinear constitutive rate equations toward identifying numerous unknown parameters. Numerical examples for model validation are presented and in good agreement with stress-strain data up to 20 loading-unloading cycles given in literature.