SMA Numerical Modeling Versus Experimental Results: Parameter Identification and Model Prediction Capabilities

Auricchio, Ferdinando; Coda, Alberto; Reali, Alessandro; Urbano, Marco

doi:10.1007/s11665-009-9409-7

Cited by 46 publications

(28 citation statements)

References 13 publications

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“…Opting for the linear model to describe the austenite behavior is very common for SMAs (Lagoudas, 2008), which are very rarely loaded beyond the elastic range at high temperatures. The bilinear model for the martensite was inspired by the bilinear approximation usually adopted to describe the super-elastic stressstrain curve (Auricchio et al, 2009), which is qualitatively similar to the martensitic curve. An example of the bilinear model applied to the loading response of martensitic SMAs is provided by Yang and Gu (2002).…”

Section: Methodsmentioning

confidence: 99%

Modeling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion

Mammano

Dragoni

2011

Journal of Intelligent Material Systems and Structures

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The article presents the analytical model of a linear/rotary solid-state actuator formed by a shape memory wire wound over a cylindrical drum. The model assumes a bilinear w temperature) and a linear elastic response in the austenitic state (high temperature). Based on simple equilibrium conditions, the model calculates the stress and strain distributions in the wire when subjected to a constant external backup force and undergoing frictional sliding forces at the contact with the drum. Closed-form expressions are supplied for the stroke produced by whatever actuator geometry and are validated numerically against finite element results. For a particular actuator configuration, the analytical forecasts are also checked experimentally on a proof-of-concept prototype. The analytical model shows that large strokes (up to one-half of the drum’s diameter) are achieved if the frictional coefficient is kept below 0.01. Rolling-contact architectures or sonic-pulse excitations of the drum are discussed as technical solutions to obtain such low friction values

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Section: Methodsmentioning

confidence: 99%

Modeling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion

Mammano

Dragoni

2011

Journal of Intelligent Material Systems and Structures

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“…The total strain consists of two parts: the mechanical strain ε i j and the transformation strain ε tr i j , which is a function of the martensite volume fraction. That is, Auricchio et al (2007Auricchio et al ( , 2009) addressed some three-dimensional models, considering the isothermal stressinduced transformation in shape memory polycrystalline materials and the presence of permanent inelasticity. Recent works have highlighted some limitations of phenomenological models.…”

Section: Constitutive Models For Smasmentioning

confidence: 99%

A review on shape memory alloys with applications to morphing aircraft

Barbarino

Flores

Ajaj

et al. 2014

Smart Mater. Struct.

319

176

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Shape memory alloys (SMAs) are a unique class of metallic materials with the ability to recover their original shape at certain characteristic temperatures (shape memory effect), even under high applied loads and large inelastic deformations, or to undergo large strains without plastic deformation or failure (super-elasticity). In this review, we describe the main features of SMAs, their constitutive models and their properties. We also review the fatigue behavior of SMAs and some methods adopted to remove or reduce its undesirable effects. SMAs have been used in a wide variety of applications in different fields. In this review, we focus on the use of shape memory alloys in the context of morphing aircraft, with particular emphasis on variable twist and camber, and also on actuation bandwidth and reduction of power consumption. These applications prove particularly challenging because novel configurations are adopted to maximize integration and effectiveness of SMAs, which play the role of an actuator (using the shape memory effect), often combined with structural, load-carrying capabilities. Iterative and multi-disciplinary modeling is therefore necessary due to the fluid-structure interaction combined with the nonlinear behavior of SMAs.

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“…In this study, a double-flag constitutive model which is one of the most widely employed model for SMA dampers as shown in Fig. 2 is adopted for the dynamic response calculation of the 4-DOF numerical model with SMA damper [36][37][38].The expression of the hysteretic behavior of the SMA damper in a doubleflag form can be given by the following equations:…”

Section: Identification Of Nrf Provided By Sma Damper Under Incompletmentioning

confidence: 99%

Model-free nonlinear restoring force identification for SMA dampers with double Chebyshev polynomials: approach and validation

Dyke

2015

Nonlinear Dyn

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The initiation and propagation of damage such as cracks in an engineering structure under dynamic loadings is a nonlinear process. Strictly speaking, conventional eigenvalue and eigenvector extraction-based damage identification approaches are suitable for linear systems only. Due to the unique nonlinearities associated with each civil engineering structure, it would be inefficient to attempt to express the nonlinear restoring force (NRF) of an engineering structure such as a reinforced concrete structure in a parametric form. Consequently, it is highly desirable to develop a general nonlinear identification approach to achieve structural damage detection in both qualitative and quantitative ways without the assumption on the parametric model of the hysteretic behavior. In this paper, based on a double Chebyshev polynomial function, a time-domain identification approach is proposed for identifying both the structural NRF and the mass distribution for multi-degree-of-freedom (MDOF) structures under incomplete dynamic loadings. As a typical nonlinear material, shape memory alloy (SMA) is introduced to a MDOF structural model to mimic the nonlinear behavior under dynamic loadings. The feasibility and robustness of the proposed approach is validated via (1) a numerical MDOF structure model equipped with a SMA damper whose restoring force is described by a double-flag-shaped nonlinear model, and (2) an experimental study on a fourstory shear building structure model equipped with an in-house design of a SMA damper used to mimic the structural NRF under incomplete impact loadings. The identified NRF is compared with the theoretical values and the measurements in experiment. Both numerical and experimental results show that the proposed approach is capable of identifying both the mass distribution and structural nonlinearity under dynamic loadings, and could be potentially used for damage initiation and propagation monitoring during vibration of engineering structures under dynamic excitations.

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SMA Numerical Modeling Versus Experimental Results: Parameter Identification and Model Prediction Capabilities

Cited by 46 publications

References 13 publications

Modeling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion

Modeling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion

A review on shape memory alloys with applications to morphing aircraft

Model-free nonlinear restoring force identification for SMA dampers with double Chebyshev polynomials: approach and validation

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