2015
DOI: 10.1039/c5sm01761k
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Dynamic moduli of magneto-sensitive elastomers: a coarse-grained network model

Abstract: The viscoelastic properties of magneto-sensitive elastomers (MSEs) in a low-frequency regime are studied using a coarse-grained network model. The proposed model takes into account the mechanical coupling between magnetic particles included in a whole network structure and magnetic interactions between them. We show that the application of a constant uniform magnetic field leads to the splitting of the relaxation spectrum into two branches for the motions of the particles parallel and perpendicular to the fiel… Show more

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Cited by 46 publications
(35 citation statements)
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“…Then, as m is slowly increased, this symmetry is broken and E zz (m) decreases, whereas E xx (m) and E yy (m) increase identically, as expected by the unbroken x ↔ y symmetry. Moreover, all moduli show to lowest order in m a quadratic behavior, as demanded by the necessary m → −m symmetry [59], see Fig. 7 (c).…”
Section: A Static Modulimentioning
confidence: 83%
“…Then, as m is slowly increased, this symmetry is broken and E zz (m) decreases, whereas E xx (m) and E yy (m) increase identically, as expected by the unbroken x ↔ y symmetry. Moreover, all moduli show to lowest order in m a quadratic behavior, as demanded by the necessary m → −m symmetry [59], see Fig. 7 (c).…”
Section: A Static Modulimentioning
confidence: 83%
“…Starting on the microscale, at most a few individual polymer chains are resolved by coarsegrained bead-spring models [17][18][19]. In still more reduced mesoscopic dipole-spring models, the elasticity of the matrix is directly represented by effective spring-like interactions between the particles, combined with long-ranged magnetic dipolar interactions between them [20][21][22][23][24]. More explicit approaches treat the matrix directly by continuum elasticity theory, yet at the price of reduced accessible overall particle numbers [25][26][27][28].…”
Section: Introductionmentioning
confidence: 99%
“…III is exact concerning the treatment of the elastic polymer matrix. In previous approaches, simplified spring-like interactions had been introduced to model the matrix elasticity [18,27,42,44,48,50,[68][69][70][71]. We now argue that in the present highly symmetric and simplified set-up the reduction to effective harmonic spring-like interactions is exact within the framework of linear elasticity theory.…”
Section: Mapping Onto Reduced Dipole-spring Modelsmentioning
confidence: 71%