Thermo-mechanical description of phase transformation in Ni-Ti Shape Memory Alloy

Maynadier, Anne; Depriester, Dorian; Lavernhe-Taillard, Karine; Hubert, Olivier

doi:10.1016/j.proeng.2011.04.365

Cited by 12 publications

(15 citation statements)

References 10 publications

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“…In the following, g denotes a grain. It is supposed to be composed of several phases φ (typically ferrite, austenite, martensite,...), that may be separated in different variants (see [42,43] for more details) but remain at constant volume fraction in the modeling proposed 1 . α denotes a magnetic domain family inside the ferromagnetic phase considered and represents the lower scale.…”

Section: Multiscale Modelingmentioning

confidence: 99%

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Multiscale magneto-elastic modeling of magnetic materials including isotropic second order stress effect

Hubert

2019

Journal of Magnetism and Magnetic Materials

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Compact and high speed electromechanical systems lead to higher and higher levels of multiaxial mechanical stress, that may strongly change the magnetic behavior of materials, making the development of highly accurate magnetic models a very important task. Among all available magnetoelastic models, multiscale approaches seem to be the most promising.The coupling effect is introduced at the single crystal scale, mainly attributed to the evolution of magnetic domain structures under magneto-mechanical loading. All these models use however a formulation of free energy where the energetic term describing magneto-elastic coupling is linearly stress dependent, that hardly allow (using artificial mechanisms) providing non-monotonic stress effect on the magnetic behavior. The proposition detailed in this paper is to consider a second order stress term in the free energy expression, allowing a linear dependance of magnetostriction tensor with stress to be defined and providing the non-monotonous stress effect. This introduction leads to a more complex description of magnetoelastic effect that needs the identification of a large number of complementary material constants. In this paper, developments are made in the frame of cubic symmetry for first order magneto-elastic term (joining the classical description) and considering an isotropic second order stress effect for the sick of simplicity. This simplification leads to only two additive physical constants to be identified. An identification procedure is proposed and applied to model the magnetoelastic behavior a non-oriented (NO) 3wt%silicon-iron electrical steel.

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Section: Multiscale Modelingmentioning

confidence: 99%

“…Assuming that the elastic behavior and the magnetic susceptibility are homogeneous within a grain, the magnetostriction strain and the magnetization of a single crystal are written as the average magnetostriction and magnetization over the domains (41) and (42).…”

Section: Constitutive Behavior Localization and Homogenizationmentioning

confidence: 99%

Multiscale magneto-elastic modeling of magnetic materials including isotropic second order stress effect

Hubert

2019

Journal of Magnetism and Magnetic Materials

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“…The localization procedures from the RVE to the grain scale makes it possible to better account for demagnetizing fields and residual stresses effects [13]. Such a modeling requires physical parameters usually coming from literature and adjusting parameters identified using a differential scanning calorimetry measurement for the phase kinetic [16], a mechanical measurement for variant kinetic [15], and an anhysteretic magnetic measurement for the magnetic domain kinetic [8]. Validation is usually obtained from coupled experiments (involving the concomitant variation of several fields).…”

Section: Resultsmentioning

confidence: 99%

“…Different materials can be considered: ferromagnetic materials without phase transformation (electric steels, iron, nickel -equation (19)), paramagnetic materials with phase transformation and a single variant (austenite/ferrite allotropic transformation -equation (23) [14]), or with multiple variants (SMA -equation (22) [15]), ferromagnetic materials with phase transformation and multivariants (MSMA -equation (21) [16]), or magneto-caloric materials where the phase transformation temperature coincides with the Curie temperature (equation (21) [17]).…”

Section: Constitutive Law Localization and Homogenization Proceduresmentioning

confidence: 99%

Multiscale Approach for the Modeling of Chemo-Magneto-Thermo-Mechanical Couplings – Reversible Framework

Hubert

Labernhe-Taillard

Fall

et al. 2018

MSF

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We focus in this paper on a multiscale modeling approach of the materials’ reversible behavior involving couplings of the chemo-magneto-thermo-mechanical type. It is shown that it is possible to take into account a large variety of these coupled environments by a unified approach using the springs of the scale change and the build of an appropriate Gibbs free energy function. The approach is well suited to situations where some fields can be considered homogeneous at a relevant scale and where free deformation can be defined.

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“…The numerical model used to describe the evolution of thermochemical fields is based on four scales: the variant scale α variant of a phase φ (martensite, R phase or austenite variants), the crystal g, the representative volume element (RVE) which is an assembly of crystals, and that of the structure. The single crystal model [7] predicts the distribution of the volume fractions f φ α of each variant in Fig. 4.…”

Section: Modelingmentioning

confidence: 99%

Nickel-titanium pseudo-elastic behavior under equi-biaxial dynamic loading conditions

et al. 2018

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Shape memory alloys (SMA) undergo a solid-solid phase transformation called martensitic transformation, involving a "high temperature" phase (austenite) and a "low temperature" phase (martensite). The stress-strain pseudo-elastic behavior of a nickel-titanium under equi-biaxial dynamic compression is measured thanks to a new home-made impact testing set-up using split Hopkinson bars. The use of thermal and optical cameras allows strain and heating sources fields to be identified. The stress field is estimated by the combination of the strain gauges information placed on bars, and a finite element analysis of the specimen. Experimental average stress-strain behavior and thermal emission are finally compared to the results of a finite difference axisymmetric model where the constitutive law is given by a fully coupled stochastic multi scale model.

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Thermo-mechanical description of phase transformation in Ni-Ti Shape Memory Alloy

Cited by 12 publications

References 10 publications

Multiscale magneto-elastic modeling of magnetic materials including isotropic second order stress effect

Multiscale magneto-elastic modeling of magnetic materials including isotropic second order stress effect

Multiscale Approach for the Modeling of Chemo-Magneto-Thermo-Mechanical Couplings – Reversible Framework

Nickel-titanium pseudo-elastic behavior under equi-biaxial dynamic loading conditions

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