Abstract
We propose a theory which describes the mechanical behaviour of magneto-sensitive elastomers (MSEs) under a uniform external magnetic field. We focus on the MSEs with isotropic spatial distribution of magnetic particles. A mechanical model is used in which magnetic particles are arranged on the sites of three regular lattices: simple cubic, body-centered cubic and hexagonal close-packed lattices. By this we extend our previous approach [Ivaneyko D. et al., Macromolecular Theory and Simulations, 2011, 20, 411] which used only a simple cubic lattice for describing the spatial distribution of the particles. The magneto-induced deformation and the Young's modulus of MSEs are calculated as functions of the strength of the external magnetic field. We show that the magneto-mechanical behaviour of MSEs is very sensitive to the spatial distribution of the magnetic particles. MSEs can demonstrate either uniaxial expansion or contraction along the magnetic field and the Young's modulus can be an increasing or decreasing function of the strength of the magnetic field depending on the spatial distribution of the magnetic particles.
Highlights
Magneto-sensitive elastomers (MSEs), known as magnetorheological elastomers, are high-tech materials that can change their shape and mechanical behaviour under external magnetic fields [1]
One can see that for simple cubic and hexagonal close-packed lattices, an MSE is uniaxially contracted along the direction of the external magnetic field, εeq < 0 [figure 5 (a), (c) and 6 (a), (c)], while for the body-centered cubic lattice, an MSE uniaxially expands along the direction of the external magnetic field, εeq > 0 [figure 5 (b) and 6 (b)]
In this paper we have studied the mechanical properties of magneto-sensitive elastomers with isotropic distribution of the magnetic particles in an external magnetic field
Summary
Magneto-sensitive elastomers (MSEs), known as magnetorheological elastomers, are high-tech materials that can change their shape and mechanical behaviour under external magnetic fields [1]. To describe spatial distribution of particles we have used a regular rectangular lattice model, which permits to consider “isotropic”, chain-like and plane-like structures of particles Such a regular rectangular lattice model predicts a negative magnetostriction of MSE for all distributions of particles. In the present study we consider different lattices to describe isotropic distributions of magnetic particles in an MSE: simple cubic, body-centered cubic and hexagonal close-packed lattices. For these three different lattice models we examine magnetostriction and Young’s modulus of the MSE in the presence of an external magnetic field. The Neo-Hooke law is used to describe entropic non-linear elasticity of polymer chains
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