Microscale modeling and simulation of magnetorheological elastomers at finite strains: A study on the influence of mechanical preloads

Kalina, Karl A.; Metsch, Philipp; Kästner, Markus

doi:10.1016/j.ijsolstr.2016.10.019

Cited by 58 publications

(52 citation statements)

References 43 publications

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“…The analyzed MREs are described by a microscopic continuum based model, i. e. the heterogeneous microstructure consisting of magnetizable inclusions embedded into a polymer matrix is taken into account explicitly. As presented in [1], the governing equations for the microscopic stationary magneto-mechanical boundary value problem are given by the two Maxwell equations and the balance of linear momentum…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…For brevity, the corresponding jump conditions are omitted in the aforementioned equations. For more details see [1]. The magnetization m describes the magnetic state of the material and is linked to b and h by the relation b = µ 0 (h + m), where µ 0 is the permeability of free space.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…can be decomposed into a mechanical Ψ mech and a magnetic part Ψ mag within B p [1,3,6]. Similar to the formulation presented in [1], the mechanical part Ψ mech is described by a compressible neo-Hookean material law. Consequently, the total Cauchy stress tensor within the domain B p also is given by the relation (3).…”

Section: Magnetizable Particlesmentioning

confidence: 99%

“…In this contibution the macroscopic behavior of MREs is investigated by means of a microscale modeling approach which is based on a general magnetomechanical continuum formulation as presented in Kalina et al [1]. This model enables to consider particles with magnetically soft or magnetically hard behavior.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Microscale Modeling and Simulation of Magnetorheological Elastomers

Kalina

Brummund

Metsch

et al. 2017

Proc Appl Math and Mech

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Herein, a finite strain microscale model for magnetorheological elastomers (MREs) based on a general continuum formulation of the magneto-mechanical boundary value problem is introduced. The modelling approach enables to consider particles with magnetically soft or magnetically hard behavior. In order to connect the microscopic fields to effective macroscopic quantities, a suitable computational homogenization scheme is used. The microstructure of the considered MRE is discretized and the problem is solved numerically in terms of a coupled nonlinear finite element approach. Using the presented framework, the influence of the particle shape on the magnetostrictive effect of MREs filled with magnetically soft particles is discussed. Furthermore, the effective macroscopic hystereses of an MRE filled with magnetically hard particles are calculated.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Magnetizable Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Microscale Modeling and Simulation of Magnetorheological Elastomers

Kalina

Brummund

Metsch

et al. 2017

Proc Appl Math and Mech

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“…In the following, the applied continuum model is summarized briefly: field equations that are relevant for the presented simulations are introduced, whereas additional relations including boundary and jump conditions are omitted. For a detailed discussion of the theoretical framework, the reader is referred to [4,5].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Modeling and simulation of magnetorheological elastomers: A comparison of continuum and dipole approaches

Metsch

Romeis

Saphiannikova

et al. 2017

Proc Appl Math and Mech

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In the present work, a comparison of the results of a microscale continuum and a dipolar mean-field approach with regard to their predictions for the magnetostrictive response of magnetorheological elastomers is presented. It turns out that -for random, isotropic microstructures -there is a very good agreement between both modeling strategies. This is in contrast to former comparisons of continuum and other dipole approaches, which have shown considerable deviations.

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Curing spurious magneto‐mechanical coupling in soft non‐magnetic materials

Rambausek

Schöberl

2023

Numerical Meth Engineering

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The present work is concerned with the issue of spurious coupling effects that are pervasive in fully coupled magneto-mechanical finite element simulations involving very soft non-magnetic or air-like media. We first address the characterization of the spurious magneto-mechanical effects and their intuitive interpretation based on energy considerations. Then, as main contribution, we propose two new cures for the issue under consideration that completely prune the undesired spurious magneto-mechanical coupling in non-magnetic media.The proposed methods are compared with established methods in the context of magnetic bodies embedded in (i) air or vacuum and (ii) very soft elastic non-magnetic media. The comparison shows that the proposed approaches are accurate and effective. They, furthermore, allow for a consistent linearization of the coupled boundary value problems, which is crucial for the simulation of compliant structures. For reproducibility and accessibility of the proposed methods, we provide our implementations with Netgen/NGSolve as well as all codes necessary for the reproduction of our results as supplementary material.

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Microscale modeling and simulation of magnetorheological elastomers at finite strains: A study on the influence of mechanical preloads

Cited by 58 publications

References 43 publications

Microscale Modeling and Simulation of Magnetorheological Elastomers

Microscale Modeling and Simulation of Magnetorheological Elastomers

Modeling and simulation of magnetorheological elastomers: A comparison of continuum and dipole approaches

Curing spurious magneto‐mechanical coupling in soft non‐magnetic materials

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