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2
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Journal of Material Sciences and Engineering| ISSN: 2169-0022 | GDCSM-2018 | Volume: 7
Analytical modeling of electrical conductivity andmagnetic permeability of magnetorheological elastomers
Nima Ghafoorianfar
University of Wisconsin - Platteville, USA
I
n this work, the analytical homogenization method is used to model electrical conductivity and magnetic permeability of
magntorheological elastomers (MREs). MREs are considered as spherical particulate composites of infinite matrix and spherical
particles, composed of simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) lattices. The analytical
homogenization method is used in this work, which combines multiscale method and asymptotic techniques in order to solve for
effective conductivity and permeability of MREs. The effect of cluster formation, and particles volume fraction are also discussed
as it reaches percolation threshold. Additionally, the impact of external mechanical loads and magnetic field are considered in
the solution. The edge effects corresponding to redistribution of the load between components are also considered, which plays
an important role in nonhomogeneous composite materials. The employed edge effect model shows good results for transversely
isotropic composites, which correspond to aligned MREs with chain-like structures. The analytical solution shows similar behavior of
electrical conductivity and magnetic permeability under external loadings or changes in volume fraction. External mechanical loads
and magnetic fields show increase in both electrical conductivity and magnetic permeability in particulate composites, although with
different rate. Furthermore, the obtained analytical solution in this work, especially the ones obtained for the SC lattice structure, is
in good correlation with the results of previous experimental studies obtained for aligned MREs.
ghafoorianfn@uwplatt.eduJ Material Sci Eng 2018, Volume: 7
DOI: 10.4172/2169-0022-C3-098