Modelling of martensitic transformation and plastic slip effects on the thermo-mechanical behaviour of Fe-based shape memory alloys

Jemal, Fatma; Bouraoui, Tarak; Zineb, Tarak Ben; Patoor, Étienne; Bradaï, Chedly

doi:10.1016/j.mechmat.2008.11.007

Cited by 24 publications

(16 citation statements)

References 20 publications

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“…Two Fe-based SMA compositions were considered. The corresponding experimental results developed by Jemal et al (2009) and Baruj et al (2010) were considered for the identification of the material parameters and the model validation, respectively. Heterogeneous loading was obtained by applying the same aforementioned loading on a holed plate.…”

Section: Resultsmentioning

confidence: 99%

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A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis

Khalil

Mikolajczak

Bouby

et al. 2012

Journal of Intelligent Material Systems and Structures

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In this article, we propose a finite element numerical tool adapted to a Fe-based shape memory alloy structural analysis, based on a developed constitutive model that describes the effect of phase transformation, plastic sliding, and their interactions on the thermomechanical behavior. This model was derived from an assumed expression of the Gibbs free energy taking into account nonlinear interaction quantities related to inter- and intragranular incompatibilities as well as mechanical and chemical quantities. Two scalar internal variables were considered to describe the phase transformation and plastic sliding effects. The hysteretic and specific behavior patterns of Fe-based shape memory alloy during reverse transformation were studied by assuming a dissipation expression. The proposed model effectively describes the complex thermomechanical loading paths. The numerical tool derived from the implicit resolution of the nonlinear partial derivative constitutive equations was implemented into the Abaqus® finite element code via the User MATerial (UMAT) subroutine. After tests to verify the model for homogeneous and heterogeneous thermomechanical loadings, an example of Fe-based shape memory alloy application was studied, which corresponds to a tightening system made up of fishplates for crane rails. The results we obtained were compared to experimental ones.

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Section: Resultsmentioning

confidence: 99%

“…This article gives the details on the development of a new thermomechanical constitutive model for the Fe-based SMAs as a continuation of the work presented by Jemal et al (2009). It takes into account, in a more accurate way, the above-mentioned behavior specificities of the Fe-based SMAs.…”

Section: Introductionmentioning

confidence: 99%

A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis

Khalil

Mikolajczak

Bouby

et al. 2012

Journal of Intelligent Material Systems and Structures

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“…Most of the macroscopic models are implemented in finite element codes and used for SMA structural analysis. Many extensions of these models are under continuous development, for example in order to take into account the effect of precipitates or the interaction between transformation and plasticity or viscoplasticity during monotonic or cyclic loading [35][36][37].…”

Section: -P7 Esomat 2009mentioning

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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“…These models well describe the effect of the martensitic transformation without plastic strain consideration. Other models adapted to iron-Based SMA (Goliboroda et al, 1999;Jemal et al, 2009;Khalil et al, 2012) or TRIP Steels (Cherkaoui et al, 1998;Fischer et al, 2000;Petit et al, 2007;Kouznetsova and Geers, 2008) describe the effects of transformation and plastic strain and their interaction on the thermo-mechanical behaviour. This consideration leads to a good description of cyclic loadings (Feng and Sun, 2007;Kan and Kang, 2010).…”

Section: Introductionmentioning

confidence: 99%

Modeling of niobium precipitates effect on the Ni47Ti44Nb9 Shape Memory Alloy behavior

Piotrowski

Zineb

Patoor

et al. 2012

International Journal of Plasticity

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a b s t r a c tCommercial Ni 47 Ti 44 Nb 9 Shape Memory Alloy (SMA) is generally adopted for tightening applications thanks to its wide transformation hysteresis, compared with classical NiTi. Its sensibility to thermo-mechanical treatments allows it to be either martensitic or austenitic in a wide range of temperature, between À60°C and 80°C. A modeling of niobium precipitates effects on Ni 47 Ti 44 Nb 9 SMA behavior is proposed. For this object, a two phase thermo-mechanical model is developed. It describes the global effective behavior of an elastoplastic inclusion (niobium precipitates) embedded within an SMA matrix. The constitutive law developed by Peultier et al. (2006) and improved by Chemisky et al.is adopted to model the matrix shape memory behavior. The elastoplastic constitutive law for inclusion is the one proposed by Wilkins with Simo and Hughes's radial return algorithm. The Mori-Tanaka scale transition scheme is considered for the determination of the effective constitutive equations. Obtained results highlight the effect of niobium precipitates on the thermomechanical behavior of Ni 47 Ti 44 Nb 9 , and particularly on the corresponding hysteresis size. It appears that the niobium plasticity increases this hysteresis size. The developed constitutive law has been implemented in the ABAQUS Ò Finite Element code and considered for the numerical prediction of the tightening pressure in a connection application.

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Modelling of martensitic transformation and plastic slip effects on the thermo-mechanical behaviour of Fe-based shape memory alloys

Cited by 24 publications

References 20 publications

A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis

A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis

Roundrobin SMA modeling

Modeling of niobium precipitates effect on the Ni47Ti44Nb9 Shape Memory Alloy behavior

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