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Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles
Abstract : This work puts forth two families of fully explicit continuum or phenomenological models that are constructed by approximating an analytical (but implicit) homogenization solution recently derived for the free-energy function describing the macroscopic magnetoelastic response of two classes of MREs comprised of an isotropic incompressible elastomer filled with a random isotropic distribution of: i) spherical iron particles and ii) spherical ferrofluid particles. Both families are given in terms of free-energy functions W H = W H (F, H) that depend on the deformation gradient F and the Lagrangian magnetic field H and are constructed so as to agree identically with the homogenization solution for small and large applied magnetic fields, this for arbitrary finite deformations and arbitrary volume fractions c of particles in the entire physical range c ∈ [0, 1]. The accuracy of the proposed phenomenological models is assessed inter alia via the direct comparison of their predictions with that of the homogenization solution for a boundary-value problem of both fundamental and practical significance: the magnetostriction response of a spherical MRE specimen subject to a remotely applied uniform magnetic field.
Cited literature [32 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-02613180
Contributor : Kostas Danas <>
Submitted on : Tuesday, May 19, 2020 - 8:51:29 PM
Last modification on : Wednesday, October 14, 2020 - 4:09:00 AM
Contributor : Kostas Danas <>
Submitted on : Tuesday, May 19, 2020 - 8:51:29 PM
Last modification on : Wednesday, October 14, 2020 - 4:09:00 AM
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