Abstract
A kinetic law for constitutive modelling of shape memory alloys is proposed in order to increase model predictability in
comparison with experimental data. The proposed law is based on cubic Bézier curves and contains curvature controlling
parameters. The kinetic law and also the Duhem–Madelung sub-loop model are implemented in a state-of-the-art
constitutive model based on the framework by Lagoudas and coworkers. The original and modified models are fitted to
consistent experimental results from mechanical cyclic loading under isothermal conditions (0–800 MPa, 30–70 °C) of a
trained pseudoelastic shape memory alloy wire. Quantitative measures of goodness of fit show that both models perform
well, but use of the modified model results in 31% reduction of the residual standard deviation compared with the
original model (21.4 versus 14.8 MPa) in model calibration and 23% in model validation. The proposed kinetic law therefore
ensures higher predictability.
Original language | English |
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Journal | Journal of Intelligent Material Systems and Structures |
Volume | 27 |
Issue number | 9 |
Pages (from-to) | 1150-1164 |
ISSN | 1045-389X |
DOIs | |
Publication status | Published - 2016 |
Keywords
- Shape memory alloys
- Material characterisation
- Parameter estimation
- Measurement uncertainty
- Transformation kinetics