Theoretical and numerical modeling of solid–solid phase change: Application to the description of the thermomechanical behavior of shape memory alloys

Moumni, Ziad; Zaki, Wael; Nguyen, Quoc Son

doi:10.1016/j.ijplas.2007.07.007

Cited by 84 publications

(46 citation statements)

References 23 publications

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“…The sequence of thermodynamic states occurring in SMAs is usually described by introducing additional variables (such as martensite and austenite volume fractions), within the framework of thermodynamics with internal state variables [8]. Current SMA constitutive models have reached a high level of sophistication accounting for multiple and simultaneous thermomechanical mechanisms [3][4][5][9][10][11][12][13]. Nevertheless, a common limitation is that most existing models generally assume that phase diagrams governing phase transformations are characterized by piecewise-linear transformation lines, despite of high non-linearities highlighted from experiments [6].…”

Section: State-of-the-art and Proposed Improvementsmentioning

confidence: 99%

“…Proposed designs based on such materials range from aeronautic/mechanical applications (e.g., adaptive smart wings and actuators) and telecommunication devices (e.g., deployment and control mechanisms of satellites and antennas), to biomedical (e.g., self-expanding stents, orthodontic wires, and prostheses) and civil applications (e.g., devices for passive, active and semi-active controls of civil structures) [1,2]. As proved by the recent wide literature in the field [1,[3][4][5], there is a great need of constitutive models able to reproduce SMAs behavior, including a refined description of phase transformation mechanisms. In order to be effectively employed in practical applications, models should be characterized by parameters whose values have to be easily identified from well-established experimental procedures.…”

Section: Introductionmentioning

confidence: 99%

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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: State-of-the-art and Proposed Improvementsmentioning

confidence: 99%

Section: Introductionmentioning

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%

“…The interesting behavior of SMAs (shape memory alloys) is essentially due to their capability of undergoing a reversible diffusionless solid-solid phase transition known as the martensitic transformation [Wayman and Otsuka 1999;Shaw and Kyriakides 1995;Moumni et al 2008]. This transition is characterized at the microscopic level by a modification of the crystallographic lattice structure which can be induced by altering either the material temperature or the stress to which it is subjected or both, hence a strong thermomechanical coupling.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we provide an application of the cyclic model, developed previously by the authors within the framework of generalized standards materials with internal constraints [Moumni et al 2008], in order to simulate the dissipated energy at the stabilized cycle. Our aim here is to shown that the cyclic model can be combined with the fatigue criterion in order to predict low-cycle failure of superelastic shape memory structures.…”

Section: Introductionmentioning

confidence: 99%

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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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Recent advance on constitutive models of thermal‐sensitive shape memory polymers

Zhang

Yang

2011

J of Applied Polymer Sci

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Shape memory polymers (SMPs) are a novel class of shape memory materials which can store a deformed (temporary) shape and recover an original (permanent) shape under a shape memory thermomechanical loading-unloading cycle. The deformation mechanisms of SMPs are very complicated, but the SMPs also have a lot of advantages and the widespread application value and prospect. So developing proper constitutive models that describe thermomechanical properties of SMPs and the shape memory effect is very challenging and of great theoretical and application value. Based on the deformation mechanisms and considerable experimental investigations of SMPs, researchers have developed many constitutive models. This article investigates the deformation mechanism and introduces the recent research advance of the constitutive models of thermal-sensitive SMPs. Special emphases are given on the micromechanical constitutive relations in which the deformation is considered being based on the microstructure of the SMPs. Finally, the lack of research and prospects for further research are discussed. V C 2011 Wiley Periodicals, Inc. J Appl Polym Sci 123: [1502][1503][1504][1505][1506][1507][1508] 2012

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Theoretical and numerical modeling of solid–solid phase change: Application to the description of the thermomechanical behavior of shape memory alloys

Cited by 84 publications

References 23 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

Recent advance on constitutive models of thermal‐sensitive shape memory polymers

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