Comparative Evaluation of Shape Memory Alloy Constitutive Models with Experimental Data

2001 ◽  
Vol 12 (6) ◽  
pp. 383-395 ◽  
Author(s):  
Harsha Prahlad ◽  
Inderjit Chopra
Keyword(s):  
Experimental Data ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Comparative Evaluation ◽  
Constitutive Models

Comparative evaluation of shape memory alloy constitutive models with test data

1997 ◽  
Author(s):  
Jeanette Epps ◽  
Inderjit Chopra ◽  
Jeanette Epps ◽  
Inderjit Chopra
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Test Data ◽  
Comparative Evaluation ◽  
Constitutive Models

scholarly journals Sensitivity and Uncertainty Analysis of One-Dimensional Tanaka and Liang-Rogers Shape Memory Alloy Constitutive Models

Materials ◽  
2019 ◽  
Vol 12 (10) ◽  
pp. 1687 ◽  
Author(s):  
A. B. M. Rezaul Islam ◽  
Ernur Karadoğan
Keyword(s):  
Shape Memory Alloy ◽  
Uncertainty Analysis ◽  
Shape Memory ◽  
Shape Memory Effect ◽  
Memory Effect ◽  
Constitutive Models ◽  
Loading Conditions ◽  
Input Parameters ◽  
Stress Dependent ◽  
Sensitivity And Uncertainty Analysis

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 Tanaka and Liang-Rogers models are two of the most widely used macroscopic phenomenological constitutive models for describing SMA behavior. In this paper, we performed sensitivity and uncertainty analysis using Sobol and extended Fourier Amplitude Sensitivity Testing (eFAST) methods for the Tanaka and Liang-Rogers models at different operating temperatures and loading conditions. The stress-dependent and average sensitivity indices have been analyzed and are presented for determining the most influential parameters for these models. The results show that variability is primarily caused by a change in operating temperature and loading conditions. Both models appear to be influenced by the uncertainty in elastic modulus of the material significantly. The analyses presented in this paper aim to provide a better insight for designing applications using SMAs by increasing the understanding of these models’ sensitivity to the input parameters and the cause of output variability due to uncertainty in the same input parameters.

On the Shortcomings of Shape Memory Alloy Phenomenological Models

Aerospace ◽  
2004 ◽  
Author(s):  
Mohammad H. Elahinia ◽  
Mehdi Ahmadian
Keyword(s):  
Phase Transformation ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Phenomenological Models ◽  
Constitutive Models ◽  
Experimental Results ◽  
Robotic Arm ◽  
Transformation Kinetics ◽  
Dead Weight ◽  
Simultaneous Change

The phenomenological models for SMAs, consisting of a thermodynamics based- constitutive and a phase transformation kinetics model, are the most widely used models for engineering applications. The existing phenomenological models are able to predict the behavior of SMA-actuated systems in most cases, except for cases arising from a simultaneous change in temperature and stress of the SMA elements, as is documented in this study. For such cases, the existing models fail to adequately predict the behavior of SMA elements undergoing complex thermomechanical loadings. A rotary SMA-actuated robotic arm is modeled using the existing constitutive models, in order to document the conditions under which the models fail. The model is verified against the experimental results, to document that under certain conditions, the model is not able to predict the behavior of the SMA-actuated manipulator. The phenomenological models discrepancy is also studied experimentally using a dead-weight that is actuated by an SMA wire.

Development of a frequency-dependent constitutive model for hysteresis of shape memory alloys

2020 ◽  
Vol 234 (12) ◽  
pp. 1535-1549
Author(s):  
Saeid Shakiba ◽  
Aghil Yousefi-Koma ◽  
Moosa Ayati
Keyword(s):  
Shape Memory Alloy ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
High Strain ◽  
Excitation Frequency ◽  
Constitutive Models ◽  
Original Model ◽  
Frequency Effect ◽  
Proposed Model

In this study, a constitutive model based on Liang-Rogers’s relations is developed to characterize the effect of the excitation frequency in the hysteresis of shape memory alloys. Shape memory alloys are good candidates as smart actuators because of their high strain and power density, although the complex hysteresis behavior barricades their usage. Although constitutive models are one of the most potent methods to predict the shape memory alloys behavior, they cannot consider the effect of excitation frequency in active applications. In this paper, the Liang-Rogers model is modified to consider this effect using a linear relation between the excitation frequency and martensite transformation temperatures. A shape memory alloy-driven actuator as a morphing wing is employed to characterize the frequency effect on shape memory alloy hysteresis. Experimental results show that the hysteresis is widened when the excitation frequency increases. The modeling results show that the original model significantly fails to predict the correct behavior when the frequency increases, whereas the proposed model can adequately handle the frequency effect on the behavior of the shape memory alloy-driven actuator.

Development of Hybrid Prandtl–Ishlinskii and Constitutive Models for Hysteresis of Shape-Memory-Alloy-Driven Actuators

Robotica ◽  
2021 ◽  
pp. 1-15
Author(s):  
Saeid Shakiba ◽  
Moosa Ayati ◽  
Aghil Yousefi-Koma
Keyword(s):  
Shape Memory Alloy ◽  
Constitutive Model ◽  
Shape Memory ◽  
Hybrid Model ◽  
Volume Fraction ◽  
Excitation Frequency ◽  
Constitutive Models ◽  
Driven Systems ◽  
Hysteresis Behavior ◽  
First Case

SUMMARY Prandtl–Ishlinskii (PI) model has an excellent compromise to characterize an asymmetric saturated hysteresis behavior of shape-memory-alloy (SMA)-driven systems, but it cannot consider thermomechanical relations between components of SMA-driven systems. On the other hand, constitutive models are composed of these relations, but their precision needs to be improved. In this paper, PI model is proposed to boost constitutive models in two cases. In the first case, PI model is used to characterize martensite volume fraction (MVF) called hybrid model. In the second case, the model is applied as a regulator in the output of a constitutive model called PI-based output (PIO) regulator. Due to simplicity and ability of Liang–Rogers (LR) model in transformation phases, it is considered as an MVF in the original constitutive model. The performance of both proposed models is compared with the original LR-based constitutive model. Unknown parameters of all three models are identified using genetic algorithm in MATLAB Toolbox. The performance of the three models is investigated at three different frequencies of \[\frac{{2\pi }}{8}\] , \[\frac{{2\pi }}{{15}}\] , and \[\frac{{2\pi }}{{30}}\] Hz because the excitation frequency changes the hysteresis behavior. Results show that the proposed hybrid model keeps the precision of the original constitutive model at different frequencies. In addition, the proposed PIO model shows the best performance to predict hysteresis behavior at different frequencies.

Comparison of Three-Dimensional Shape Memory Alloy Constitutive Models: Finite Element Analysis of Actuation and Superelastic Responses of a Shape Memory Alloy Tube

2013 ◽  
Author(s):  
Pingping Zhu ◽  
L. Catherine Brinson ◽  
Edwin Peraza-Hernandez ◽  
Darren Hartl ◽  
Aaron Stebner
Keyword(s):  
Finite Element ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Three Dimensional ◽  
Constitutive Models ◽  
Benchmark Problems ◽  
Internal Variables ◽  
Computationally Efficient ◽  
Element Analysis ◽  
Analysis And Design

Many three-dimensional constitutive models have been proposed to enhance the analysis and design of shape memory alloy (SMA) structural components. Phenomenological models are desirable for this purpose since they describe macroscopic responses using internal variables to govern the homogenized material response. Because they are computationally efficient on the scale of millimeters to meters, these models are often the only viable option when assessing the response of full-scale SMA components for engineering applications. Thus, many different 3D SMA constitutive models have been developed. However, for their intended user, the application engineer, a clear and straightforward methodology has not been established for selecting a model to use in a design process. A primary goal of the Consortium for the Advancement of Shape Memory Alloy Research and Technology (CASMART) modeling working group has been establishment of model selection methodology. One critical step in this process is the development of benchmark problems that clearly illustrate the capabilities and efficiencies of models. In this paper, we propose a set of benchmark problems centered on an SMA tube component. These problems have been selected to demonstrate both uniaxial and multiaxial, actuation and superelastic capabilities of 3D SMA models. We then use finite element simulations of these benchmark problems to compare and contrast both the material modeling and implementation of three unique SMA constitutive models.

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