Modeling of the magnetic field-induced martensitic variant reorientation and the associated magnetic shape memory effect in MSMAs

Kiefer, Björn; Lagoudas, Dimitris C.

doi:10.1117/12.600032

Cited by 20 publications

(23 citation statements)

References 24 publications

(35 reference statements)

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“…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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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%

Magnetic Shape Memory Alloys with High Actuation Forces

Караман¹,

Lagoudas²

2006

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“…The result is consistent with the Kiefer's results. 19 The dynamics simulations illustrate the significant impact of parameters k, c, m in the actuation behavior as shown in Fig. 6.…”

Section: Resultsmentioning

confidence: 88%

“…18 By considering the magnetization limitation induced by variants' rotation, they further presented a thermodynamic model exhibiting first cycle effect and the internal magnetization. 19 Faidley et al presented a constitutive model for the reversible strain in Ni-Mn-Ga solenoid actuators. 20 Likhachev and Ullakko presented a general thermodynamic model of the field-induced strain, 21,22 which could be applied to the multi-dimensional cases involving multi-variants.…”

Section: Introductionmentioning

confidence: 99%

Dynamics modeling of ferromagnetic shape memory alloys (FSMA) actuators

Tan

Elahinia

2006

SPIE Proceedings

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FSMAs like Ni2MnGa have attracted significant attention over the last few years. As actuators, these materials offer high energy density, large stroke, and high bandwidth. These properties make FSMAs potential candidates for developing Solid-Fluid Hybrid Actuations (SFHA), where the FSMA actuator provides the mechanical energy by the linear reversible displacements. In order to develop effective hydraulic pumps with the FSMA actuators, it is important to study the dynamic behavior in these materials. In this paper, a dynamic model is presented for an Ni 2 MnGa actuator. The Ni 2 MnGa actuator model consists of the dynamics of the actuator, kinematics of the actuator, constitutive model of the material, and reorientation kinetics. A constitutive model is proposed to take into account the elastic deformation as well as the reorientation. Simulations results are presented to demonstrate the dynamic behavior of the actuator.

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“…In this section a summary of the framework for the MSMA constitutive model previously proposed by the authors [18][19][20] is given. 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.…”

Section: Msma Constitutive Equationsmentioning

confidence: 99%

“…[13][14][15][16][17] Most of these formulations rely on the minimization of a free energy expression, which searches for equilibrium points in ideal processes. This paper and previous work by the authors, [18][19][20][21] however, is concerned with the influence of dissipative effects on the evolution of thermodynamic states and thus the loading history dependence of the constitutive response; an approach that has yielded powerful phenomenological models for conventional shape memory alloys.…”

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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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Modeling of the magnetic field-induced martensitic variant reorientation and the associated magnetic shape memory effect in MSMAs

Cited by 20 publications

References 24 publications

Magnetic Shape Memory Alloys with High Actuation Forces

Magnetic Shape Memory Alloys with High Actuation Forces

Dynamics modeling of ferromagnetic shape memory alloys (FSMA) actuators

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

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