Characterization and modeling of the magnetic field-induced strain and work output in magnetic shape memory alloys

Kiefer, Björn; Karaca, H.E.; Lagoudas, Dimitris C.; Караман, И.

doi:10.1016/j.jmmm.2006.09.035

Cited by 82 publications

(76 citation statements)

References 34 publications

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“…This model provided good predictability of the magnetic field-induced strain hysteresis curves [33,[39][40], but failed to give accurate predictions of the magnetization hysteresis. Several significant extensions have been made [39][40][41] to address this and other issues 1.…”

Section: Modeling Workmentioning

confidence: 99%

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Magnetic Shape Memory Alloys with High Actuation Forces

Караман¹,

Lagoudas²

2006

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Public Reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comment regarding this burden estimates or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and 43794.4-MS SUPPLEMENTARY NOTESThe views, opinions and/or findings contained in this report are those of the author(s) and should not be construed as an official Department of the Army position, policy or decision, unless so designated by other documentation. The specific aims of the project are: 1) Understand governing mechanisms and important physical, mechanical and magnetic parameters responsible for magnetic shape memory phenomena in MSMA alloys in single crystalline form, 2) to develop new nickel, iron or cobalt base ferromagnetic alloy compositions to increase attainable actuation stress levels and to reveal new mageto-thermomechanical mechanisms, 3) to conduct experiments to evaluate whether these compositions will result in good magnetic shape memory response and high actuation force, and 4) to develop a thermodynamically sound model that will predict the coupled effects of mechanical load, magnetic field and temperature on magnetic shape memory behavior. The main accomplishments in the project are: 1) the maximum actuation stress level was increased from 2 MPa to 5 MPa for the magnetic field induced martensite reorientation mechanism for the same amount of actuation strain (6%). 2) For the first time, the team observed cyclic magnetic field induced martensite to austenite transformation. This was confirmed using in-situ magnetic field experiments in an XRD at Argonne National Lab. 3) By utilizing this new actuation mechanism, the team was able to increase the cyclic actuation stress to 24 MPa with about 0.5% actuation strain. These numbers can be increased further. The mechanism has also resulted in field-induced one-way shape memory effect. In this effect, the actuation stress varied between 60 to 100 MPa with actuation strain levels are up to 3%. 4) The team found out the conditions to obtain magnetoelasticity utilizing the above two microstructural mechanisms under cycling loading (cyclic stress under magnetic field or magnetic field under constant stress). 5) development of a thermodynamically consistent phenomenological model which captures the ferromagnetic shape memory effect, i.e. the large macroscopically observable shape change of magnetic shape memory materials under the application of external magnetic fields and magnetizatiob evolution. The significance of these accomplishments is that the selected compositions after specific thermomechanical treatments are revealed promising new actuation mechanism an...

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Section: Modeling Workmentioning

confidence: 99%

“…Several significant extensions have been made [39][40][41] to address this and other issues 1. The assumed constraint that the magnetization is fixed to the respective magnetic easy axes of the martensitic variants has been alleviated, with the introduction of additional internal state variables for the magnetization rotation.…”

Section: Modeling Workmentioning

confidence: 99%

Magnetic Shape Memory Alloys with High Actuation Forces

Караман¹,

Lagoudas²

2006

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“…The model is concerned with the stress and magnetic field-induced rearrangement of martensitic variants and predicts the associated nonlinear, stress-dependent reorientation strain and magnetization hysteresis curves typically observed in experiments. 26,[26][27][28] For the loading case of variable magnetic field and constant uniaxial stress, such experimental data, taken from the literature, is presented in Section III, cf. figure 2(a) on page 7 and figure 3 on page 10, in the context of validating the constitutive model predictions.…”

Section: Msma Constitutive Equationsmentioning

confidence: 99%

“…The experimentally observed and predicted asymmetry of the hysteresis loop has been termed the first cycle effect. 26 Subsequent cycles are symmetric. To explain the predicted evolution of the MFIS in more detail, figure 2(b) takes a closer look at the hysteresis loop under -1.0 MPa.…”

Section: Model Predictionsmentioning

confidence: 99%

Modeling of the Stress- and Magnetic Field-Induced Variant Reorientation in MSMAs

Lagoudas¹

2006

47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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This paper is concerned with the modeling of the magnetic shape memory alloy (MSMA) constitutive response caused by the reorientation of martensitic variants. Following a summary of the constitutive model previously proposed by the authors, the nonlinear and hysteretic strain and magnetization response of MSMAs are investigated for two main loading cases, namely the magnetic field-induced reorientation of variants under constant uniaxial stress and the stress-induced reorientation under constant magnetic field. It is demonstrated in this work that the model captures the loading history dependence of the constitutive behavior through the evolution of internal state variables. Complex loading cases are also presented in which the sequence of the application of the stress and magnetic field strongly influences the predicted response. The relation of critical stresses and magnetic fields for the activation of the reorientation process are visualized in a variant reorientation diagram on which the considered loading paths are superimposed.

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“…Some relatively old models are based on simple energy function [2], energy minimization [3,4] or using a magnetic stress to disconnect mechanical and magnetic behaviours [5]. One of the first thermodynamic approaches was built in [6] and the addition of internal variables in the thermodynamics of irreversible processes was proposed in [7,8] A very interesting experimental study concerning the shape memory and martensitic deformation response of Ni 2 MnGa single crystals is performed by Callaway et al [9]. Few papers relate the global modeling of MSMA including temperature, stress and magnetic field effects in the same formalism.…”

Section: Introductionmentioning
confidence: 99%

Ni-Mn-Ga single crystal Shape Memory Alloy magneto-thermomechanical modeling
Gauthier
¹
,
Lexcellent
²
,
Hubert
³

et al. 2010
EPJ Web of Conferences
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Abstract. In the frame of Thermodynamics of irreversible process, a model describing the thermomagneto-mechanical behavior of a single crystal of Ni-Mn-Ga is built. The choice of internal variables is linked to the physics of the problem (fraction of martensite variants, fraction of Weiss domains, magnetization angle). The simulations permit to describe the paths in the space (stress, temperature, magnetic field) in agreement with experimental tests. A special attention will be devoted to the control laws required to use these functional materials as sensors or actuators.

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Characterization and modeling of the magnetic field-induced strain and work output in magnetic shape memory alloys

Cited by 82 publications

References 34 publications

Magnetic Shape Memory Alloys with High Actuation Forces

Magnetic Shape Memory Alloys with High Actuation Forces

Modeling of the Stress- and Magnetic Field-Induced Variant Reorientation in MSMAs

Ni-Mn-Ga single crystal Shape Memory Alloy magneto-thermomechanical modeling

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