A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings

Saint‐Sulpice, Luc; Chirani, Shabnam Arbab; Calloch, Sylvain

doi:10.1016/j.mechmat.2008.07.004

Cited by 132 publications

(64 citation statements)

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“…A similar phenomenon is proposed in (Saint-Sulpice et al, 2009). In that work, the term reorientation is used to describe the exact eect of coupled forward and reverse transformation.…”

Section: Deformation Mechanisms: Phase Transformation and Reorientationsupporting

confidence: 77%

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Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Chatziathanasiou

Chemisky

Chatzigeorgiou

et al. 2016

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractIn the present study, a new 3D thermodynamic coupled model is proposed for SMAs.The behavior of SMA structures is described through several strain mechanisms, each associated with its proper internal variables. This model is built to capture the particular behavior of SMAs when subjected to complex loading, namely non-proportional thermomechanical loading. To achieve this task, a new approach to describe the martensitic reorientation mechanism has been introduced in conjuction with a new method to account for forward and reverse transformation. Thermomechanical coupling, related to dissipation and latent heat is fully implemented. The validity of the model is demonstrated by comparing experimental results of complex thermomechanical loading paths of SMA structures with numerical simulations.

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“…A similar phenomenon is proposed in (Saint-Sulpice et al, 2009). In that work, the term reorientation is used to describe the exact eect of coupled forward and reverse transformation.…”

Section: Deformation Mechanisms: Phase Transformation and Reorientationsupporting

confidence: 77%

“…The eect of orientation has also been investigated in recent works (Ameduri et al, 2015;Sedlák et al, 2012;Saleeb et al, 2011;Saint-Sulpice et al, 2009). These models add the feature of simulating three-dimensional loading paths to previous simpler models (Boyd and Lagoudas, 1994;Brinson, 1993;Saleeb et al, 2001).…”

Section: Introductionmentioning

confidence: 99%

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Chatziathanasiou

Chemisky

Chatzigeorgiou

et al. 2016

International Journal of Plasticity

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“…It has been explained in more details in [7,8]. The main originality concerns the description of the elastic domain of the material by two different transformation surfaces for forward and reverse transformation noted f 1 and f 2 , respectively ( Figure 1).…”

Section: D Macroscopic Model For Cyclic Thermomechanical Behavior Ofmentioning

confidence: 99%

“…The origin of the residual strain that appears during cyclic loadings as been determined as residual martensite [8]. So, in order to simulate the cyclic behavior we introduce a volume fraction of jammed marteniste, z b , which leads to a residual strain:…”

Section: Cyclic Behaviormentioning

confidence: 99%

Thermomechanical cyclic behavior modeling of SMA materials and structures

Chirani

Saint‐Sulpice

Calloch

2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract.A 3D thermomechanical macroscopic model describing the cyclic effects in SMA has been developed by Sant-Sulpice et al.. The essential of this model is based on the introduction of a variable describing the development of jammed martensite. As it is known, a residual strain under cyclic thermomechanical loadings is developed in SMA like the ratcheting effect in plasticity. The origin of the evolution of the residual strain in SMA can be the plasticity or the development of jammed martensite. In some SMAs, its origin has been verified and it has been concluded that it is mainly due to the jammed martensite. This permits to justify the models constitutive equations. The developed model has been validated by simple thermomechanical cyclic tests. It has been integrated numerically in Cast3M finite elements code. This study is organised in two parts. The first one concerns the numerical scheme and the validation tests on a volumic element under simple cyclic loadings, cyclic proportional and non proportional loadings. The second part concerns the numerical study of SMA structures. Two coil sprins actuators under cyclic assisted shape memory effect are also studied.

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“…However, there are very few constitutive models considering the plastic deformation of the martensite under the conditions of stress-induced martensite transformation. Recently, Kan and Yan [5][6] developed a temperature-dependent three-dimensional phenomenological constitutive model considering the local plastic yield of martensite under high stress, and then successfully implemented into a finite element package ABAQUS.…”

Section: Introductionmentioning

confidence: 99%

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

Wang¹

2017

Advances in Computer Science Research

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Abstract. This paper focuses on the super-elastic characterization of Ni-based shape memory alloys for biomedical applications. Shape memory alloy (SMA) have presented excellent characterization in biomedical application fields, such as high corrosion resistance, bio-compatible, non-magnetic, and the unique physical properties with the capability to replicate those of human tissues and bones, and so on. In this study, a shape memory alloy (SMA) constitutive model is proposed that is capable of describing SMA super-elastic features and the plasticity effects. Finally, the analyzed results show good ability to predict y the experimental data.

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A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings

Cited by 132 publications

References 50 publications

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Thermomechanical cyclic behavior modeling of SMA materials and structures

Constitutive Model of Shape Memory Alloy considering the effect of Martensite Plasticity for Biomedical Applications

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