Computation of non‐linear magneto‐electric product properties of 0–3 composites

Schröder, Jörg; Labusch, Matthias; Keip, Marc‐André; Kiefer, Björn; Brands, Dominik

doi:10.1002/gamm.201510002

Cited by 14 publications

(4 citation statements)

References 54 publications

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“…in the different modeling scenarios. This is the topic of a separate paper in this issue [135]. Nevertheless, we will briefly discuss product properties in the next Section 6.3.…”

Section: Compositesmentioning

confidence: 99%

“…So far it remains an open question whether, if the CoFe 2 O 4 single crystals were arbitrarily distributed within the BaTiO 3 matrix, we should expect the same overall behavior as for polycrystalline magnetostrictive inclusions? More details on the evaluation of magnetostriction can be found in [139] and on product properties are found in this same issue [135].…”

Section: Product Propertiesmentioning

confidence: 99%

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Measuring the magnetoelectric effect across scales

et al. 2015

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Magnetoelectric coupling is the material based coupling between electric and magnetic fields without recurrence to electrodynamics. It can arise in intrinsic multiferroics as well as in composites. Intrinsic multiferroics rely on atomistic coupling mechanisms, or coupled crystallographic order parameters, and even more complex mechanisms. They typically require operating temperatures much below T = 0°C in order to exhibit their coupling effects. Room temperature applications are thus excluded. Consequently, composites have been designed to circumvent this limitation. They rely on field coupling between magnetostrictive and piezoelectric materials or in more advanced scenarios on quantum coupling in between both phases.This overview will describe experimental techniques and their particular limitations in accessing these coupling phenomena at different scales. Strain coupling is the dominant coupling mechanism at the macroscale as well as down to the micrometer. At the nanoscale more subtle effects can arise and some care has to be taken when investigating local coupling at interfaces using scanning probe techniques, e. g. due to semiconductor effects, field screening, or gradient and surface effects. At the smallest length scale atomic or molecular coupling can be tested using X‐ray dichroism or probe atoms like 57Fe in Mössbauer spectroscopy. We display a selection of measuring techniques at the different scales and outline possible pitfalls for experimentalists as well as theoreticians when using material parameters extracted from such experimental work. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…in the different modeling scenarios. This is the topic of a separate paper in this issue [135]. Nevertheless, we will briefly discuss product properties in the next Section 6.3.…”

Section: Compositesmentioning

confidence: 99%

Section: Product Propertiesmentioning

confidence: 99%

Measuring the magnetoelectric effect across scales

et al. 2015

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“…Extensions of the method to the realm of multi-physics and generalized continua have been proposed by many groups, e.g. for thermo-mechanical [4,26], electro-mechanical [14,15], magneto-mechanical [39], micromorphic [5,27] or even three-field problems [17,28] -see also the references therein.…”

Section: Introductionmentioning

confidence: 99%

An efficient monolithic solution scheme for FE$^2$ problems

Lange,

Hütter,

Kiefer

2021

Preprint

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The FE 2 method is a very flexible but computationally expensive tool for multiscale simulations. In conventional implementations, the microscopic displacements are iteratively solved for within each macroscopic iteration loop, although the macroscopic strains imposed as boundary conditions at the micro-scale only represent estimates. In order to reduce the number of expensive micro-scale iterations, the present contribution presents a monolithic FE 2 scheme, for which the displacements at the micro-scale and at the macro-scale are solved for in a common Newton-Raphson loop. In this case, the linear system of equations within each iteration is solved by static condensation, so that only very limited modifications to the conventional, staggered scheme are necessary. The proposed monolithic FE 2 algorithm is implemented into the commercial FE code Abaqus. Benchmark examples demonstrate that the monolithic scheme saves up to ≈ 70% of computational costs.

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“…These models available in literature, in general can be broadly classified as micro-mechanical or phenomenological. In a micro-mechanical model, physical insight of the material can be described by consideration of the internal structure at domain level [38,39]. In a single crystal, the internal variable considered can be domain volume fraction which renders a macroscopic nonlinear magnetostrictive behavior.…”

Section: Introductionmentioning

confidence: 99%

A phenomenological approach to study the nonlinear magnetoelectric (ME) response of ME composites

Elakkiya

Subhani

Arockiarajan

2019

Smart Mater. Struct.

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Magnetoelectric (ME) composites have recently attracted many researchers because of their significant applications in devices like sensors, energy harvesters etc. In this work, a unique phenomenological nonlinear constitutive model for ferromagnetic material has been developed and further, this model is extended to study the ME coupling coefficient of ME composites. The proposed model is based on metal plasticity approach for ferromagnetic material and is also thermodynamically consistent. A robust non-iterative scheme has been proposed and the developed model is incorporated into the computational scheme which renders computationally efficient simulations. In order to validate the proposed model, firstly, a press fit assembly of ME composite has been considered. The prestress developed due to the press fit is numerically evaluated using ABAQUS. The simulated results for the press fit configuration are compared with the experimental observations. To illustrate the generality of this model, a layered ME composite configuration has also been studied. Finally, a parametric study has been conducted and the influence of volume fraction of constituents, boundary conditions and the aspect ratio for the press fit ME composite assembly are reported.

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Computation of non‐linear magneto‐electric product properties of 0–3 composites

Cited by 14 publications

References 54 publications

Measuring the magnetoelectric effect across scales

Measuring the magnetoelectric effect across scales

An efficient monolithic solution scheme for FE$^2$ problems

A phenomenological approach to study the nonlinear magnetoelectric (ME) response of ME composites

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