A three-dimensional model of the thermomechanical behavior of shape memory alloys

Zaki, Wael; Moumni, Ziad

doi:10.1016/j.jmps.2007.03.012

Cited by 216 publications

(154 citation statements)

References 60 publications

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“…In order to account for different deformation mechanisms in SMAs and in agreement with available modeling approaches [5,12,21], the mapping from the reference to the actual state is regarded as the superimposition of different thermomechanical mechanisms allowing to identify several deformation variables. Accordingly, the infinitesimal strain is split in…”

Section: Modelmentioning

confidence: 99%

An ideal model for stress-induced martensitic transformations in shape-memory alloys

Marino

2014

Frattura Ed Integrità Strutturale

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ABSTRACT. In this paper, a novel model for stress-induced martensitic transformations in shape-memory alloys is proposed. Accordingly, the constitutive pseudo-elastic behavior of these materials is described. The model accounts for the possible co-existence of austenitic/martensitic phases and for asymmetric response in tension and compression (both for transformation and stiffness properties). The model is developed under the assumption of ideal behavior during martensitic transformation, and the predicted response is governed by few parameters, standard in the context of shape-memory alloys' constitutive models, that can be straightforwardly identified from experimental data. Moreover, proposed modeling framework opens to the investigation on the effects of non-linear transformation lines in phase diagrams and of temperature-dependent transformation strains.

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Section: Modelmentioning

confidence: 99%

An ideal model for stress-induced martensitic transformations in shape-memory alloys

Marino

2014

Frattura Ed Integrità Strutturale

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“…For full details regarding the model presented in this section, the reader is referred to [Zaki 2006;Zaki and Moumni 2007a;2007b;Moumni et al 2008].…”

Section: 2mentioning

confidence: 99%

“…Section 2 is devoted to the presentation of the cyclic Zaki-Moumni model, where the behavior is described using three state variables representing residual strain induced by cyclic loading, internal stress induced by repeated phase change, and the cumulated martensite volume fraction. See [Zaki and Moumni 2007a;2007b] for a detailed discussion of the model. Section 3 discusses the low cycle fatigue law and numerical simulations of the dissipated energy at the stabilized cycle, along with a validation against experimental data in the case of cyclic superelasticity.…”

Section: Introductionmentioning

confidence: 99%

Cyclic behavior and energy approach to the fatigue of shape memory alloys

Moumni

Zaki

Maïtournam

2009

J. Mech. Mater. Struct.

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We present an energy-based low-cycle fatigue criterion that can be used in analyzing and designing structures made from shape memory alloys subjected to cyclic loading. Experimentally, a response similar to plastic shakedown is observed. During the first cycles the stress-strain curve shows a hysteresis loop which evolves during the first few cycles before stabilizing. By adopting an analogy with plastic fatigue, it is shown that the dissipated energy of the stabilized cycle is a relevant parameter for estimating the number of cycles to failure of such materials. Following these observations, we provide an application of the cyclic model, previously developed by the authors within the framework of generalized standard materials with internal constraints in order to evaluate such parameter. Numerical simulations are presented along with a validation against experimental data in case of cyclic superelasticity.

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“…Based on existing experimental studies, in recent years, a series of phenomenological constitutive models had been built by different scholars [22][23][24][25] to describe the thermo-mechanical coupling deformation characteristics of SMA. As a further work, the FE implementation of the proposed model was to be carried out to calculate an accurate stress-strain responses for SMA-based devices.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Modeling of A phenomenological Constitutive Model for Super-elastic Shape Memory Alloy and its Application for Preload Process Analysis of Bolted Joint

Jiang¹,

Huang²,

Wang³

et al. 2018

Preprint

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A three-dimensional model of the thermomechanical behavior of shape memory alloys

Cited by 216 publications

References 60 publications

An ideal model for stress-induced martensitic transformations in shape-memory alloys

An ideal model for stress-induced martensitic transformations in shape-memory alloys

Cyclic behavior and energy approach to the fatigue of shape memory alloys

Finite Element Modeling of A phenomenological Constitutive Model for Super-elastic Shape Memory Alloy and its Application for Preload Process Analysis of Bolted Joint

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