An explicit and accurate approach toward simulating plastic-to-pseudoelastic transitions of SMAs under multiple loading and unloading cycles

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:185

Article

Zhan, Lin¹  Wang, Xiao-Ming²  Wang, Si-Yu¹  Xi, Hui-Feng¹  Xiao, Heng^1,3 

[1] Jinan Univ, Sch Mech & Construct Engn, MOE Key Lab Disaster Forecast & Control Engn, West Huangpu Ave 601, Guangzhou 510632, Peoples R China

[2] Ningbo Polytech, Ningbo, Peoples R China

[3] Shanghai Univ, Shanghai Inst Appl Math & Mech, Yanchang Rd 149, Shanghai 200072, Peoples R China

关键词: Shape memory alloys;    Plasticity;    Pseudo-elasticity;    Loading cycles;    Continuous transitions;    Explicit simulation;   

DOI  :  10.1016/j.ijsolstr.2019.08.024

来源: Elsevier

【 摘 要 】

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. (C) 2019 Published by Elsevier Ltd.

【 授权许可】

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