A multiscale approach to the computational characterization of magnetorheological elastomers

Summary Magnetorheological elastomers are materials with a composite microstructure that consists of an elastomeric matrix and magnetizable inclusions. Because of the magnetic inclusions, magnetorheological elastomers are able to change their properties under magnetic field. Thereby, their effective...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical methods in engineering 2016-07, Vol.107 (4), p.338-360
Main Authors: Keip, Marc-Andre, Rambausek, Matthias
Format: Article
Language:English
Subjects:
Boundary conditions
computational homogenization
Computer simulation
Elastomers
FE2-method
finite deformations
Homogenization
Homogenizing
Inclusions
magnetic boundary conditions
Magnetic fields
magneto-mechanical coupling
magnetorheological elastomers
Microstructure
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Summary Magnetorheological elastomers are materials with a composite microstructure that consists of an elastomeric matrix and magnetizable inclusions. Because of the magnetic inclusions, magnetorheological elastomers are able to change their properties under magnetic field. Thereby, their effective behavior strongly depends on the microstructure. This calls for homogenization strategies to characterize their macroscopic response. However, for arbitrary macroscopic bodies, this is a non‐trivial task. The main difficulty stems from the fact that a magnetic body interacts with its surrounding and thus perturbs the magnetic field it is subjected to. In a multiscale simulation, this interaction has to be accounted for through a physically sound prescription of magnetic boundary conditions. Thus, the goal of this contribution is to establish a two‐scale homogenization framework that allows for both (i) the incorporation of the microstructure into the macroscopic simulation and (ii) the application of experimentally motivated boundary conditions on arbitrary macroscopic bodies. We show the capabilities of the approach in several numerical studies, in which we analyze the effective behavior of different specimens. Depending on their microstructure, we observe a contraction or extension of the specimens and find magnetically induced stiffening or weakening. All numerical predictions are in good qualitative agreement with experimental measurements. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5178