A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings

Arghavani, J.; Auricchio, Ferdinando; Naghdabadi, R.; Reali, Alessandro; Sohrabpour, Saeed

doi:10.1016/j.ijplas.2009.12.003

Cited by 221 publications

(124 citation statements)

References 54 publications

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“…Their model accounted for the evolutions of residual induced-martensite and transformation-induced plastic strain during the stress-controlled cyclic loading by introducing the accumulated induced-martensite volume fraction as an internal variable. Arghavani et al (2010) presented a phenomenological constitutive model based on scalar and tensorial internal variables for shape memory alloys within the framework of irreversible thermodynamics. Chemisky et al (2011) proposed a three-dimensional model for shape memory alloy to account for several aspects of the thermo-mechanical behavior of SMAs.…”

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.

331

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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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.

331

176

View full text Add to dashboard Cite

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“…The test temperature is set to 308K which is 25K more than austenitic finish temperature A 0s = 283K, so superelastic behaviour is expected. This example is experimentally examined and the obtained data are available in literature [1,2]. Tension-torsion experiment of thin wall specimen [8] made of CuAlZnMn alloy is used for this purpose.…”

Section: Large Strain Non-proportional Examplementioning

confidence: 99%

“…Integration is done for the deviatoric and mean stress using trial stress direction for each time step. Difference between the return mapping algorithm and the integration in the trial deviatoric stress direction can be neglected for nearly proportional loading [2]. The second case provide possibility to solve large strain problems in the similar manner, using the same constitutive model relations.…”

mentioning

confidence: 99%

Implicit Integration Method of Shape Memory Alloys Constitutive Model

Dunić¹,

Slavković²,

Busarac³

et al. 2014

Proceedings of the 3rd South-East European Conference on Computational Mechanics (SEECCM III)

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Abstract. Shape memory alloys (SMA) material is widely used in many applications of interest where it is necessary to recover permanent strains. There are many constitutive models which describe that phenomenon. The SMA model described by Lagoudas in [1] and [2] is modified and implemented into the PAK software package [3]. Development of this model is motivated by previous papers of Lagoudas and Auricchio groups and it considers governing parameter method applied on phenomenological behavior of SMA materials. All variables are derived to depend on effective values of stress and strain and now we have only one scalar equation to solve in the integration point. Critical thermodynamic force is also modified to match new integration method. Integration is done for the deviatoric and mean stress using trial stress direction for each time step. Difference between the return mapping algorithm and the integration in the trial deviatoric stress direction can be neglected for nearly proportional loading [2]. The second case provide possibility to solve large strain problems in the similar manner, using the same constitutive model relations. One dimensional loaded examples of super-elasticity, shape memory and thermally induced phase transformation effect proposed by Lagoudas group are verified by modified governing parameter method using the PAK software. Several large strain examples are examined under uniaxial and non-proportional loading and the results are compared with the experimental results proposed in referenced papers.

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“…The martensitic transformation strain is assumed to be oriented by the deviatoric part of the stress tensor. An extension to the case of martensite reorientation is proposed, for example in [30,33,34]. Other macroscopic models are also proposed by interpolating the behaviour surface in a 3D stress -straintemperature by various classical functions [32].…”

Section: Sma Modelsmentioning

confidence: 99%

Roundrobin SMA modeling

Šittner

Heller

Pilch

et al. 2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract. This article reports on an ESF S3T EUROCORES sponsored networking activity called Roundrobin SMA modeling organized with the aim to compare capabilities of various thermomechanical models of shape memory alloys capable to simulate their functional responses for applications in smart engineering structures. Five sets of experimental data were measured in thermomechanical tests on thin NiTi filament in tension, torsion and combined tension/torsion. The data were provided to six teams developing advanced SMA models to perform appropriate simulations. Simulation results obtained by individual teams were compared with experimental results and presented on a dedicated Roundrobin SMA modeling website. The evaluation of the activity in terms of the assessment of the capability of individual models to deal with specific features of the experimentally measured SMA thermomechanical responses is provided in this article.

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A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings

Cited by 221 publications

References 54 publications

A review on shape memory alloys with applications to morphing aircraft

A review on shape memory alloys with applications to morphing aircraft

Implicit Integration Method of Shape Memory Alloys Constitutive Model

Roundrobin SMA modeling

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