Internal variable model for magneto-mechanical behaviour of ferromagnetic shape memory alloys Ni-Mn-Ga

Hirsinger, Laurent; Lexcellent, Christian

doi:10.1051/jp4:20031044

Cited by 43 publications

(39 citation statements)

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“…To describe and understand this phenomenon of field-induced large strain in FSMA, different models have been proposed in the literature by O'Handley [1], Murray [2], James and Wuttig [3] and Likhachev and Ullakko [4]. In order to predict the magneto-mechanical hysteresis loops of these FSMA, a very simple scalar model has been developed by the present author [5]: Firstly, the mechanisms are modelled at the scale where they take place, i.e. the scale of magnetic domain and martensite platelets.…”

Section: Introductionmentioning

confidence: 98%

Modelling of magneto‐mechanical hysteresis loops in Ni‐Mn‐Ga shape memory alloys

Hirsinger

2004

phys. stat. sol. (c)

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PACS 75.50Cc, 75.60.Ch, 75.60.Ej, 75.80.+q A predictive model of field-induced strain in Ni-Mn-Ga ferromagnetic shape memory alloys is proposed. In this study, magnetocrystalline anisotropy K 1 is introduced to permit magnetisation rotation in martensite platelets. The demagnetisation field induced by the shape of platelets is investigated. The proposed model is identified on experiments performed by Straka et al. This identification shows that observed macroscopic hysteresis loops, i.e. magnetisation and detwinning strain versus applied magnetic field, correspond exactly to a successive activation of three mechanisms: Movement of 180° domain walls, rotation of magnetisation and martensite detwinning. As expected, magnetization and strain -induced by magnetic field-in a single crystal are mainly given by the mobility of twin boundaries and magnetic anisotropies (due to the martensite crystallographic structure and to the shape of platelets).

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Section: Introductionmentioning

confidence: 98%

Modelling of magneto‐mechanical hysteresis loops in Ni‐Mn‐Ga shape memory alloys

Hirsinger

2004

phys. stat. sol. (c)

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“…Some alternative phenomenological modeling of MSMAs are proposed in [4] and [5]. The referred papers, albeit taking their origin from the same basic principles, differ from the present approach as they are essentially restricted to two dimensions (or two martensitic variants), and they feature a scalar internal variable (local proportion of one martensitic variant with respect to the others) and a different choice of the relevant potentials.…”

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confidence: 96%

A three‐dimensional phenomenological model for Magnetic Shape Memory Alloys

et al. 2011

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We present a three-dimensional thermodynamically-consistent phenomenological model for the magneto-mechanical behavior of magnetic shape memory materials featuring a cubic-totetragonal martensitic transformation. Existence of energetic solutions for both the constitutive relation problem and the three-dimensional quasi-static evolution problem are proved. The proposed model reduces to some former one via parameter asymptotics by means of a rigorous Γ-convergence argument. Magnetic Shape Memory Alloys (MSMAs) present the usual superelastic and shape memory effects of SMAs combined with an impressive magnetostrictive behavior up to strains of 5-8%. This is the effect of the ferromagnetic nature of martensites in MSMAs which present the classical magnetic domain structure (domains with uniform magnetization). Local magnetization tends to align with external magnetic fields. Generally, this alignment corresponds to two mechanisms: the magnetic domain wall motion and the magnetization vector rotation. In MSMAs, a third phenomenon arises for martensitic variants rearrange in order to minimize the magnetic energy.Our focus here is on the phenomenological description of MSMA behavior in three dimensions. We concentrate our attention on so-called magnetically uniaxial materials, namely those presenting a single easy axis (preferred magnetization axis) at the martensitic crystal level. This is the case for MSMAs featuring a cubic-to-tetragonal martensitic transformation as Ni 2 MnGa, FePd, FePt. By applying a magnetic field, one variant may be favored with respect to the others. This results in a variant reorientation and a macroscopic strain.Some alternative phenomenological modeling of MSMAs are proposed in [4] and [5]. The referred papers, albeit taking their origin from the same basic principles, differ from the present approach as they are essentially restricted to two dimensions (or two martensitic variants), and they feature a scalar internal variable (local proportion of one martensitic variant with respect to the others) and a different choice of the relevant potentials. On the contrary, the present model is three-dimensional and tensorial in nature.

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“…Different simulation models have been developed to predict the strain and force output of MSM actuators as a function of external magnetic field [46][47][48][49][50][51]. Here, we present a brief sketch of a thermodynamic model that considers three possible variants of a Ni-Mn-Ga single crystal with tetragonal 10M martensite structure [52,53].…”

Section: Simulation Of Msm Actuationmentioning

confidence: 99%

Magnetic Shape Memory Microactuators

et al. 2014

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By introducing smart materials in micro systems technologies, novel smart microactuators and sensors are currently being developed, e.g., for mobile, wearable, and implantable MEMS (Micro-electro-mechanical-system) devices. Magnetic shape memory alloys (MSMAs) are a promising material system as they show multiple coupling effects as well as large, abrupt changes in their physical properties, e.g., of strain and magnetization, due to a first order phase transformation. For the development of MSMA microactuators, considerable efforts are undertaken to fabricate MSMA foils and films showing similar and just as strong effects compared to their bulk counterparts. Novel MEMS-compatible technologies are being developed to enable their micromachining and integration. This review gives an overview of material properties, engineering issues and fabrication technologies. Selected demonstrators are presented illustrating the wide application potential.

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Internal variable model for magneto-mechanical behaviour of ferromagnetic shape memory alloys Ni-Mn-Ga

Cited by 43 publications

References 0 publications

Modelling of magneto‐mechanical hysteresis loops in Ni‐Mn‐Ga shape memory alloys

Modelling of magneto‐mechanical hysteresis loops in Ni‐Mn‐Ga shape memory alloys

A three‐dimensional phenomenological model for Magnetic Shape Memory Alloys

Magnetic Shape Memory Microactuators

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