Micromechanically motivated constitutive model embedded in two-dimensional polygonal finite element framework for magnetostrictive actuators

R, Sathish Kumar; Jayabal, K.

doi:10.1063/1.5093808

Cited by 6 publications

(4 citation statements)

References 64 publications

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“…In addition, a new microscopically motivated modelling approach correlating the macroscopic responses to microscale events, like domain rotations using thermodynamic energy potential was presented as an uniaxial [37] and two-dimensional constitutive model [38]. Significantly, the volume fractions of the microscopic domains were used as internal variables to define the macroscopic state of the material under magnetomechanical loads.…”

Section: Introductionmentioning

confidence: 99%

“…Significantly, the volume fractions of the microscopic domains were used as internal variables to define the macroscopic state of the material under magnetomechanical loads. However, the two-dimensional model [38] dealt with the rate-independent actuator characteristics of Galfenol. In the present work, it is attempted to enhance the model [38] to study the major and minor loop sensor behaviour of the material accounting rate effects.…”

Section: Introductionmentioning

confidence: 99%

“…However, the two-dimensional model [38] dealt with the rate-independent actuator characteristics of Galfenol. In the present work, it is attempted to enhance the model [38] to study the major and minor loop sensor behaviour of the material accounting rate effects.…”

Section: Introductionmentioning

confidence: 99%

“…Though, Kumar and Sundararaghavan [57] applied Voronoi-based discretization for simulating cold rolling process of Galfenol, the microstructure was further sub-discretized into 690 quadrilateral elements. This sub-discretization of Voronoi polygon can be overcome by employing hybrid stress formulation to treat each polygon as a single finite element, as detailed in [38] for actuator applications of Galfenol. Such an approach is extended in the present work to sensor applications of magnetostrictive materials with rate effects, in particular to Galfenol.…”

Section: Introductionmentioning

confidence: 99%

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A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

R¹,

Jayabal²

2021

Modelling Simul. Mater. Sci. Eng.

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A micromechanical model with rate effects is developed to constitute the nonlinear hysteresis sensor behaviour of Galfenol and embedded into a numerical framework, the polygonal finite element method. The model stems from the domain rotation events taking place at microlevel in response to the external magnetomechanical loads. The internal variables of the model to represent the material state at any instant are the volume fraction of the domains, and their evolution equations are derived using thermodynamic principles. Inter-domain effects within each grain are accounted in the form of back fields that act as hardening or softening parameters. The constitutive model is extended further to include the rate effects and then incorporated into a hybrid-magnetomechanical-formulation with Voronoi-based-discretization to study the behaviour of Galfenol. The Voronoi discretizations closely resemble the microstructure of Galfenol with each finite element specifying a random grain in the polycrystalline Galfenol. The developed framework is shown to simulate the major and minor loop sensor responses of the material with rate effects under complex loading conditions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

R¹,

Jayabal²

2021

Modelling Simul. Mater. Sci. Eng.

Self Cite

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High-speed giant magnetostrictive actuator using laminated silicon steel core

Liu

Kong

Diao

et al. 2021

Review of Scientific Instruments

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The high-frequency eddy current loss limits the output speed of the giant magnetostrictive actuator (GMA). This paper investigates a GMA using a laminated silicon steel core. Compared with the integral silicon steel core, the laminated silicon steel core can reduce the equivalent conductivity and eddy currents. The laminated structure reduces the magnetic reluctance of the core and increases the magnetic field intensity in the giant magnetostrictive material rod. Therefore, the actuator can output large vibration amplitude under high-frequency magnetic field. At the sinusoidal excitation current of 35 A (rms) @ 2 kHz, the output vibration amplitude of the actuator using the laminated silicon steel core is 11.1 µm @ 4 kHz, which is 44.2% higher than that of the actuator with the integral silicon steel core. This indicates that the laminated structure of the magnetic core is beneficial to improve the output speed of GMA.

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Dynamic modeling of stack giant magnetostrictive actuator with magnetic equivalent network considering eddy current effect

Chen

Yang

et al. 2022

Journal of Applied Physics

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Stack giant magnetostrictive actuators (SGMAs) are widely used in various fields for its merits such as saving the space and improving the evenness of the bias magnetic field provided for the giant magnetostrictive material (GMM). In this paper, based on the flow path of the magnetic flux in SGMA, a magnetic equivalent network corresponding to quasistatic conditions is proposed taking flux leakage and fringing effect into account. Meanwhile, complex reluctances of the GMM rods are introduced to describe the decrease and phase shift of magnetic field intensities caused by eddy current under high-frequency excitation signals. Furthermore, the magnetic equivalent network, determining the relationship between excitation signals and magnetic field intensities, is combined with the Jiles–Atherton model, nonlinear constitutive theory of GMM concerning multi-field coupling, and structural dynamics of SGMA so as to derive a multi-field coupling model predicting the tracking behaviors of SGMA to the excitation signals. Moreover, a finite element method is conducted, an SGMA prototype is fabricated, and an experimental platform is set up to verify the proposed model. Comparison between results derived from the magnetic equivalent network and those calculated by the finite element method indicates that the proposed network is able to predict the magnetic field distribution inside the SGMA prototype in quasistatic conditions; further comparison between results obtained from the proposed multi-field coupling model and those from experiments indicates that the model can accurately predict tracking behaviors of the SGMA prototype to the excitation signals.

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Micromechanically motivated constitutive model embedded in two-dimensional polygonal finite element framework for magnetostrictive actuators

Cited by 6 publications

References 64 publications

A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

High-speed giant magnetostrictive actuator using laminated silicon steel core

Dynamic modeling of stack giant magnetostrictive actuator with magnetic equivalent network considering eddy current effect

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