2019
DOI: 10.3390/ma12101687
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Sensitivity and Uncertainty Analysis of One-Dimensional Tanaka and Liang-Rogers Shape Memory Alloy Constitutive Models

Abstract: A shape memory alloy (SMA) can remember its original shape and recover from strain due to loading once it is exposed to heat (shape memory effect). SMAs also exhibit elastic response to applied stress above the characteristic temperature at which transformation to austenite is completed (pseudoelasticity or superelasticity). Shape memory effect and pseudoelasticity of SMAs have been addressed by several microscopic thermodynamic and macroscopic phenomenological models using different modeling approaches. The T… Show more

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Cited by 15 publications
(8 citation statements)
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“…The analyses were performed at different temperature ranges and loading conditions resulting in six different cases. Islam et al [65] performed sensitivity and uncertainty analysis of Tanaka and Liang-Rogers SMA constitutive model. In that study, both the models were analyzed at two different temperatures and loading conditions resulting in four cases to determine the parameters for which the models were most sensitive.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The analyses were performed at different temperature ranges and loading conditions resulting in six different cases. Islam et al [65] performed sensitivity and uncertainty analysis of Tanaka and Liang-Rogers SMA constitutive model. In that study, both the models were analyzed at two different temperatures and loading conditions resulting in four cases to determine the parameters for which the models were most sensitive.…”
Section: Introductionmentioning
confidence: 99%
“…As mentioned previously, the analysis of sensitivity and uncertainty for SMAs have been performed for some widely used constitutive models [64,65]. To the authors' knowledge, however, a study to determine the influential parameters and uncertainty propagation of the Ivshin and Pence SMA constitutive model has not been performed.…”
Section: Introductionmentioning
confidence: 99%
“…According to the Liang-Rogers model [37,38], the constitute model of the SMA wires can be expressed as…”
Section: Bending Model Of the Sma Structurementioning
confidence: 99%
“…On the contrary, it can be seen from Figure 10 that the loss modulus decreases when the temperature increases. Figure 8 show the loss modulus curve of 1.0% curve has not followed the trends, the reason may be due to fact that SMA is a sensitive smart material; it shows some kinds of uncertainty [28,29]. The uncertainty may come from the SMA material itself or during the test process: the production and heat treatment process, the training process of SMA before the test, test temperature, the initial stress during samples installation, etc.…”
Section: Energy Dissipationmentioning
confidence: 99%