Simplifications and Comparisons of Shape Memory Alloy Constitutive Models

Brinson, L. C.; Huang, Miinshiou

doi:10.1177/1045389x9600700112

Cited by 276 publications

(178 citation statements)

References 9 publications

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“…Representative models of SMA wires are used. An example of a SMA model is the one-dimensional Brinson constitutive model [23], where the stress is related to the state variables of strain, temperature and martensite volume fraction.…”

Section: Related Workmentioning

confidence: 99%

Position control of a shape memory alloy actuator using a four-term bilinear PID controller

Villoslada

Escudero

Alonso-Martín

et al. 2015

Sensors and Actuators A: Physical

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This is a postprint version of the following published document: Villoslada, A.; Escudero, N.; Martín, F.; Flores, A.; Rivera, C.; Collado, M.; Moreno, L. (2015). Position control of a shape memory alloy actuator using a four-term bilinear PID controller. Sensors and Actuators AbstractShape memory alloy (SMA) actuators have a number of appealing features, such as their low weight or their high force-to-weight ratio, that make them a potential alternative to traditional actuation tech-nologies in fields such as space applications, surgical devices or wearable robotics. In this paper, a type of bilinear controller consisting of a conventional PID controller cascaded with a bilinear compensator, known as BPID, is proposed. Bilinear controllers are a subset of nonlinear controllers, which is why the BPID may be a promising alternative to control the position of a SMA actuator. Nonlinear control tech-niques are commonly applied to control SMA actuators, because of their nonlinear behavior caused by thermal hysteresis. The BPID controller is simpler and easier to implement than other nonlinear control strategies, which makes it a very appealing candidate to control SMA actuators. The performance of the BPID controller has been compared with other two controllers, a conventional PID and a commuted feed-forward PIPD, controlling a real SMA actuator. To this end, a set of five tests has been defined, in which the controlled actuator must follow a series of position references. From these tests, the position and error of the actuator have been plotted, and a series of metrics has been computed to have quantitative mea-surements of the performance of the three controllers. It is shown that, in most of the experiments, the BPID has a better performance than the other two tested controllers, especially tracking step references. However, the power consumption is slightly higher when the actuator is controlled with this strategy, although the difference is minimal. Also, the BPID imposes greater energy variations to the SMA actuator, which might affect its service life. Overall, the BPID controller has proved to be a viable alternative to control SMA actuators.

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Section: Related Workmentioning

confidence: 99%

Position control of a shape memory alloy actuator using a four-term bilinear PID controller

Villoslada

Escudero

Alonso-Martín

et al. 2015

Sensors and Actuators A: Physical

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“…Several constitutive mathematical models are currently available in the literature, most of them being aimed at the one-dimensional description of the material behavior (Auricchio & Sacco, 1997;Brinson & Huang, 1996;Liang & Rogers, 1990). One of the common features present in most of them, is the presence of a distinct mechanical law, governing the stressstrain relations, and of a kinetic law, governing the martensitic transformations.…”

Section: Constitutive Modelmentioning

confidence: 99%

“…This transformed phase fraction is considered to be in series with the elastic fraction. According to the literature (Brinson & Huang, 1996), there are several possible approaches to model the elastic component. If considered to be limited to the austenitic www.intechopen.com phase, the simple serial model presented in Figure 5(a) is obtained.…”

Section: Mechanical Lawsmentioning

confidence: 99%

Numerical Simulation of a Semi-Active Vibration Control Device Based on Superelastic Shape Memory Alloy Wires

Cismasiu¹,

Santos²

2010

Shape Memory Alloys

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“…Models have to take into account the effect of the phase transformation. Generally, they are based on micromechanical approaches [1,2] or on phenomenological ones [3,4]. In micromechanical models, the local thermomechanical behaviour at the grain scale is assumed to be homogeneous and interactions between martensite variants and between grains are taken into account through average quantities.…”

Section: Introductionmentioning

confidence: 99%

Coupling between experiment and numerical simulation of shape memory alloy multicrystal

Merzouki

Collard

Bourgeois³

et al. 2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract. This paper deals with the experimental and numerical analysis of the effect of stress-strain heterogeneities due to elastic anisotropy, grain orientations and their effects on martensitic transformation for a Cu-Based SMA multicrystal. The shape of each grain is measured successively by optical microscopy and Electron Back Scattered Diffraction technique. During a tensile loading at room temperature, the displacement field of the free surface is measured by Digital Image Correlation. The considered shape for the finite element analysis is designed on the basis of the experimental characterization of the shape of each grain. The model is intended to simulate the behaviour of the multicrystal. The experimentally obtained data, such as the actual applied boundary conditions at the edge of the area, crystallographic orientation, and some material parameters of the literature chosen to be in conformity with our case, are introduced in the numerical model designed by the Abaqus finite element code. A SMA micromechanical constitutive law, implemented in this FE code, is considered for the behaviour description of each grain. It describes the effect of a martensitic transformation on the behaviour of a single crystal by taking into account the possible activation of various martensite variants. The study shows that the experimental and numerical results are in good agreement. Moreover, numerical results show the stress state in grains is disturbed by the neighboring grains and this disturbance has a strong influence on the martensite variant activation.

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Simplifications and Comparisons of Shape Memory Alloy Constitutive Models

Cited by 276 publications

References 9 publications

Position control of a shape memory alloy actuator using a four-term bilinear PID controller

Position control of a shape memory alloy actuator using a four-term bilinear PID controller

Numerical Simulation of a Semi-Active Vibration Control Device Based on Superelastic Shape Memory Alloy Wires

Coupling between experiment and numerical simulation of shape memory alloy multicrystal

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