Magneto-Mechanical Coupling in Magneto-Active Elastomers

Metsch, Philipp; Romeis, Dirk; Kalina, Karl A.; Raßloff, Alexander; Saphiannikova, Marina; Kästner, Markus

doi:10.3390/ma14020434

Cited by 18 publications

(13 citation statements)

References 95 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different theoretical approaches have been proposed to investigate the magneto-mechanical behavior of MAEs [ 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]. These approaches can be broadly divided into particle-interaction models, micro-scale and macro-scale continuum models [ 32 ]. The micro-scale continuum models fully resolve the local magnetic and mechanical field with the help of a continuum formulation of a coupled magneto-mechanical boundary value problem [ 26 , 33 ].…”

Section: Introductionmentioning

confidence: 99%

Field-Induced Transversely Isotropic Shear Response of Ellipsoidal Magnetoactive Elastomers

2021

Self Cite

View full text Add to dashboard Cite

Magnetoactive elastomers (MAEs) claim a vital place in the class of field-controllable materials due to their tunable stiffness and the ability to change their macroscopic shape in the presence of an external magnetic field. In the present work, three principal geometries of shear deformation were investigated with respect to the applied magnetic field. The physical model that considers dipole-dipole interactions between magnetized particles was used to study the stress-strain behavior of ellipsoidal MAEs. The magneto-rheological effect for different shapes of the MAE sample ranging from disc-like (highly oblate) to rod-like (highly prolate) samples was investigated along and transverse to the field direction. The rotation of the MAE during the shear deformation leads to a non-symmetric Cauchy stress tensor due to a field-induced magnetic torque. We show that the external magnetic field induces a mechanical anisotropy along the field direction by determining the distinct magneto-mechanical behavior of MAEs with respect to the orientation of the magnetic field to shear deformation.

show abstract

Section: Introductionmentioning

confidence: 99%

Field-Induced Transversely Isotropic Shear Response of Ellipsoidal Magnetoactive Elastomers

2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…A similar effect has been confirmed recently for the cylindrically-shaped samples [ 36 ]. The deformational (and magnetizational) behavior of samples, containing stochastically isotropic and helical microstructures, is found to be in a remarkable agreement with the results of explicit micro-continuum mechanical modeling [ 35 , 37 ].…”

Section: Introductionmentioning

confidence: 54%

“…The explicit particle arrangements are usually considered in computer simulations [ 37 , 40 , 45 , 46 , 47 , 48 , 49 , 53 , 60 , 61 , 62 ], where it is essential to calculate the magnetization fields in individual particles to account for the corresponding magnetic interactions. The present approach allows for an approximate but very compact and yet accurate estimate of the local fields in individual particles situated in an arbitrary mesoscopic portion of the sample.…”

Section: Discussionmentioning

confidence: 99%

A Cascading Mean-Field Approach to the Calculation of Magnetization Fields in Magnetoactive Elastomers

Romeis

Saphiannikova

2021

Polymers

Self Cite

View full text Add to dashboard Cite

We consider magnetoactive elastomer samples based on the elastic matrix and magnetizable particle inclusions. The application of an external magnetic field to such composite samples causes the magnetization of particles, which start to interact with each other. This interaction is determined by the magnetization field, generated not only by the external magnetic field but also by the magnetic fields arising in the surroundings of interacting particles. Due to the scale invariance of magnetic interactions (O(r−3) in d=3 dimensions), a comprehensive description of the local as well as of the global effects requires a knowledge about the magnetization fields within individual particles and in mesoscopic portions of the composite material. Accordingly, any precise calculation becomes technically infeasible for a specimen comprising billions of particles arranged within macroscopic sample boundaries. Here, we show a way out of this problem by presenting a greatly simplified, but accurate approximation approach for the computation of magnetization fields in the composite samples. Based on the dipole model to magnetic interactions, we introduce the cascading mean-field description of the magnetization field by separating it into three contributions on the micro-, meso-, and macroscale. It is revealed that the contributions are nested into each other, as in the Matryoshka’s toy. Such a description accompanied by an appropriate linearization scheme allows for an efficient and transparent analysis of magnetoactive elastomers under rather general conditions.

show abstract

“…The system under investigation represents a strongly coupled problem, in which effects of the mechanical fields have to be considered in the governing magnetic equations and vice versa. For a detailed presentation of all relevant relations regarding this coupled magneto-mechanical boundary value problem, the authors refer to [ 13 , 38 , 39 , 40 ] and references therein—here, only the results of the aforementioned contributions with respect to the equations to be solved are briefly outlined.…”

Section: Benchmark Problemmentioning

confidence: 99%

“…In both cases, the systems’ behavior not only changes quantitatively, but also qualitatively under the influence of the coupling effects. While, within the first example, the chemo-mechanical coupling yields the phenomenon of inverse ripening that is in contrast to the normal ripening of precipitates in a metallic matrix [ 8 ]—see the work of Darvishi Kamachali et al [ 9 ] for more details and a benchmark on this problem—the magneto-mechanical coupling of the second example can cause complex magnetically induced deformations [ 10 , 11 , 12 , 13 ] as well as changes of the materials’ stiffness [ 14 , 15 , 16 , 17 ]. To this end, the effects emerging from the strong coupling of different fields make the treatment of such problems interesting but challenging.…”

Section: Introductionmentioning

confidence: 99%

Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers

et al. 2021

Self Cite

View full text Add to dashboard Cite

Within this contribution, a novel benchmark problem for the coupled magneto-mechanical boundary value problem in magneto-active elastomers is presented. Being derived from an experimental analysis of magnetically induced interactions in these materials, the problem under investigation allows us to validate different modeling strategies by means of a simple setup with only a few influencing factors. Here, results of a sharp-interface Lagrangian finite element framework and a diffuse-interface Eulerian approach based on the application of a spectral solver on a fixed grid are compared for the simplified two-dimensional as well as the general three-dimensional case. After influences of different boundary conditions and the sample size are analyzed, the results of both strategies are examined: for the material models under consideration, a good agreement of them is found, while all discrepancies can be ascribed to well-known effects described in the literature. Thus, the benchmark problem can be seen as a basis for future comparisons with both other modeling strategies and more elaborate material models.

show abstract

Magneto-Mechanical Coupling in Magneto-Active Elastomers

Cited by 18 publications

References 95 publications

Field-Induced Transversely Isotropic Shear Response of Ellipsoidal Magnetoactive Elastomers

Field-Induced Transversely Isotropic Shear Response of Ellipsoidal Magnetoactive Elastomers

A Cascading Mean-Field Approach to the Calculation of Magnetization Fields in Magnetoactive Elastomers

Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers

Contact Info

Product

Resources

About