A three-dimensional model of magneto-mechanical behaviors of martensite reorientation in ferromagnetic shape memory alloys

Chen, Xue; Moumni, Ziad; He, Yongjun; Zhang, Weihong

doi:10.1016/j.jmps.2013.11.005

Cited by 55 publications

(60 citation statements)

References 80 publications

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“…[13,14,22,[38][39][40][41][42]). Most of them include explicitly dissipation terms occurring in twin reorientation to account for hysteresis in strainmagnetic field loops and deal with magnetostatic effects by means of approximate calculations of demagnetizing factors.…”

Section: Linearized Mean Field Treatmentmentioning

confidence: 99%

Modelling Shape-Memory Effects in Ferromagnetic Alloys

Gebbia

Lloveras

Castán

et al. 2015

Shap. Mem. Superelasticity

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We develop a combined Ginzburg-Landau/ micromagnetic model dealing with conventional and magnetic shape-memory properties in ferromagnetic shapememory materials. The free energy of the system is written as the sum of structural, magnetic and magnetostructural contributions. We first analyse a mean field linearized version of the model that does not take into account longrange terms arising from elastic compatibility and demagnetization effects. This model can be solved analytically and in spite of its simplicity allows us to understand the role of the magnetostructural term in driving magnetic shape-memory effects. Numerical simulations of the full model have also been performed. They show that the model is able to reproduce magnetostructural microstructures reported in magnetic shape-memory materials such as Ni 2 MnGa as well as conventional and magnetic shape-memory behaviour.

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Section: Linearized Mean Field Treatmentmentioning

confidence: 99%

Modelling Shape-Memory Effects in Ferromagnetic Alloys

Gebbia

Lloveras

Castán

et al. 2015

Shap. Mem. Superelasticity

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“…The micro-morphology of such interfaces was shown to have a multi-scale hierarchical character by Barabash et al [42] for the case of 10 M martensite of NiMnGaFeCu. Typically, this complex structure is not discussed in the theoretical models of motion, including those of the mobility of the twins by Faran and Shilo [25][26][27][28][29] as well as continuum mechanics or phase field models of MIR [43,44]. Nevertheless, the theoretical twinning stress calculated for the symmetric Type 1 interface as for a perfect twinning plane by first-principles atomistic simulations [45] (3.5 MPa) is significantly higher than the experimentally observed values (0.5-1 MPa); this discrepancy may indicate that the finer structure may destabilize the interface and affect the twinning stress.…”

Section: Finer Structure Of the Mobile Interfacementioning

confidence: 99%

Highly mobile interfaces in shape memory alloys

Seiner

2015

MATEC Web of Conferences

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Abstract. Macro-twin interfaces in single crystals of 10 M modulated Ni-Mn-Ga martensite have recently attracted a lot of attention due to the extraordinarily low twinning stress required to set them into motion; depending on the particular twinning mode, this stress can range between 0.05 and 1 MPa, and can be either strongly temperature dependent, or nearly temperature independent. The understanding to these effects is still not satisfactory, mainly due to the high complexity of these interfaces at the micro-scale (higher-order lamination) as well as at the atomistic scale (modulations of martensite). This paper brings a brief review of the recent experimental and theoretical achievements related to these highly mobile interfaces. The uniqueness of the behavior of 10 M martensite is shown by its comparison with other shape memory alloys with relatively low twinning stresses; then, this behavior is discussed in terms of its temperature dependence, strain rate dependence and the effect of the micromorphology of the interfaces.

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“…In the experiments, the magneto-mechanical response of MSMA specimens has been investigated systematically [3][4][5][6][7][8][9][10][11][12][13][14][15]. Two typical loading patterns are usually adopted in the experiments.…”

Section: Introductionmentioning

confidence: 99%

“…Besides these two typical loading patterns, the response of MSMA specimens subject to some other kinds of magnetic and mechanical loading conditions has also been investigated. For example, Chen et al [13,14] studied the twin boundary motion in NiMnGa single crystals under biaxial compressions, and LaMaster et al [15] measured the response of a NiMnGa specimen subject to the magnetic fields with different orientations. In Chmielus et al [12], the influence of end constraints on the magneto-mechanical properties of MSMA samples was studied.…”

Section: Introductionmentioning

confidence: 99%

On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample—III: Magneto-mechanical behaviors

Wang

Steinmann

2015

Continuum Mech. Thermodyn.

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This is the concluding part III of a series of papers. The aim of the current paper is to simulate and analyze the procedure of variant reorientation in a magnetic shape-memory alloy (MSMA) sample and to predict the response of the sample subject to various loading conditions. The sample to be considered in this paper has a 3D cuboid shape and is subject to typical magneto-mechanical loading conditions. Variant reorientation in the sample is realized through twin interface movements. To investigate the key features of twin interface movements, the properties of configurational forces on the twin interfaces are analyzed. For both the stress-assisted MFIS tests and the field-assisted quasi-elasticity tests, the magneto-mechanical behavior of the MSMA sample during the whole loading procedure is simulated by using the finite element method. The influence of the initial variant distribution in the sample on its global response is discussed. The obtained numerical results are compared with the experimental results. It can be seen that the model predictions can fit the experimental results both at a qualitative as well as at a quantitative level.

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A three-dimensional model of magneto-mechanical behaviors of martensite reorientation in ferromagnetic shape memory alloys

Cited by 55 publications

References 80 publications

Modelling Shape-Memory Effects in Ferromagnetic Alloys

Modelling Shape-Memory Effects in Ferromagnetic Alloys

Highly mobile interfaces in shape memory alloys

On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample—III: Magneto-mechanical behaviors

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