Two families of explicit models constructed from a homogenization solution for the magnetoelastic response of MREs containing iron and ferrofluid particles

• Published in: International journal of non-linear mechanics Vol. 119; p. 103362
• Main Authors: Lefèvre, Victor, Danas, Kostas, Lopez-Pamies, Oscar
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.03.2020; Elsevier BV; Elsevier
• Subjects: Boundary value problems; Computational fluid dynamics; Deformation; Elastomers; Engineering Sciences; Ferrofluid inclusions; Ferrofluids; Finite magnetoelastostatics; Homogenization; Iron; Magnetic fields; Magnetorheological elastomers; Magnetostriction; Mathematical analysis; Mechanical engineering; Mechanics; Model accuracy; Solid mechanics; Magnetostriction; Ferrofluid inclusions; Finite magnetoelastostatics; Magnetorheological elastomers

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...