A finite-strain constitutive model for magnetorheological elastomers: Magnetic torques and fiber rotations

Galipeau, Evan; Castañeda, Pedro Ponte

doi:10.1016/j.jmps.2012.11.007

Cited by 102 publications

(72 citation statements)

References 46 publications

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“…Finally, it should be noted that the results of this work are consistent with the earlier theoretical findings of reference [22] for MAEs with aligned, cylindrical fibres of elliptical cross section, in the limit as the aspect ratio of these fibres tends to infinity and the fibres become layers. …”

Section: Resultssupporting

confidence: 91%

“…under the separation of length scales assumption that the width of the layers is small compared with the overall size of the specimen), when appropriately chosen boundary conditions are applied leading to a macroscopically uniform uniaxial stretchλ and magnetic fluxb. Then, the macroscopic magnetizationm that develops in the sample and the mechanical tractiont that is required on the specimen's boundary to maintain equilibrium are determined by the relations [18,22] 4) whereρ is the average density of the composite. It should be emphasized that equation (2.4), for the mechanical traction, properly accounts for the presence of the Maxwell stress in the vacuum surrounding the specimen (see [28]).…”

Section: Theoretical Analysismentioning

confidence: 99%

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Giant field-induced strains in magnetoactive elastomer composites

Galipeau

Castañeda

2013

Proc. R. Soc. A.

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Magnetoactive elastomers (MAEs) are composite materials consisting of nearly rigid, magnetically susceptible particles embedded in a soft, magnetically insensitive elastomer matrix. These multi-functional materials exhibit field-dependent strains and changes in stiffness. However, the strains that have been achieved experimentally to date are still relatively small (of the order of 1%). The reason for these small strains can be traced back to the dipolar nature of the forces between particles. Large particle concentrations are required to generate strong forces, but large concentrations also lead to large overall stiffness for the composite material, which, in turn, tends to reduce the overall strain. In this paper, we propose a new class of MAEs with doubly layered, herringbone-type microstructures capable of generating much larger field-induced strains of up to 100%. This is accomplished by combining the strong action of magnetic torques on suitably oriented magnetic layers, which interact directly with the applied magnetic field, together with the excitation of soft modes of simple shear deformation in the elastomer layers. Theoretical predictions, based on an exact analytical solution for the macroscopic magnetoelastic response of the materials, allow for the optimization of the microstructure for enhanced magnetostriction.

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Section: Resultssupporting

confidence: 91%

Section: Theoretical Analysismentioning

confidence: 99%

Giant field-induced strains in magnetoactive elastomer composites

Galipeau

Castañeda

2013

Proc. R. Soc. A.

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“…Recently, a practical relevance and motivation for these investigations is connected to ellipsoid or rod-like magnetic particles, e.g., see [3,28]. There are also theoretical researches concerning the effective behavior of MRE with ellipsoidal particles [11,12].…”

Section: Discussionmentioning

confidence: 99%

“…Since we model the material by assuming a linear relation for each, the magnetic and the mechanical constitutive behavior according to Eqs. (3) and (11), no iterative solution, e.g., by the application of the Newton-Raphson method, is necessary. The linear system of equations for the magnetic and the coupled mechanical subproblems are obtained in a standard fashion by starting with the weak forms of Eqs.…”

Section: Brief Outline Of the Extended Finite Element Methodsmentioning

confidence: 99%

“…The reason for this originates from the used decomposition of the total stress σ tot = E σ +σ with E σ kl = σ kl + (μ r − 1)H k B l and the linear elastic material law according to Eq. (11). There is no mechanical stress in the far field, i.e., σ kl = 0, thus E σ kl = (μ r − 1)H k B l is generally nonzero for μ + r = 1, leading to nonvanishing strain components.…”

Section: Displacement and Stress Field Of The Boundary Value Problemmentioning

confidence: 99%

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Analytic and numeric solution of a magneto-mechanical inclusion problem

2014

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In this paper, exact solutions for the primary field variables and their first derivatives are derived for the coupled magneto-mechanical problem of a circular inclusion embedded in an infinite surrounding. Both material domains possess linear and isotropic material properties. The assumed planarity of all fields enables and recommends the description with analytic functions depending on the complex variable z. The well-known technique of a complex stress potential satisfying the bipotential equation is used and adapted to coupled magneto-mechanical problems. The provided analytic expressions are of special interest for the validation of numeric solutions of coupled magneto-mechanical boundary value problems. In this contribution, they are applied to analyze the convergence behavior of an extended finite element formulation for coupled magneto-mechanical problems. Based on the analytic results, proper boundary conditions are prescribed to the numeric model. The convergence in terms of polynomial degree and mesh refinement of the implemented element formulation is proved by computing the L 2 and the energy norm which requires the knowledge of the exact solution. The generality of the proposed formulas allows for the deduction of some other kind of problems, e.g., the pure mechanical displacement and stress field of a bimaterial setting or the stress concentration around a circular hole.

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Magnetorheological Elastomer‐Based Materials and Devices: State of the Art and Future Perspectives

et al. 2021

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Magnetorheological elastomers based on the combination of a polymeric matrix with magnetic fillers allow the possibility of controlling their mechanical properties when an external magnetic field is applied. This so‐called magnetorheological effect can be exploited for a variety of applications. Herein, a comprehensive outlook at the state of the art is provided, in terms of the materials, effects, and applications. The physical effects that result in the magnetorheological effect are described, both from a micro and phenomenological points of view. Then, the possible combinations of different polymeric matrices and magnetic fillers, along with other additives, are presented, allowing to tune the mechanical properties, mainly dependent on the polymer matrix, and the magnetic field response, which is related to the magnetic filler. Finally, representative applications of magnetorheological elastomers are presented. This review represents an up‐to‐date state‐of‐the‐art in the field of magnetorheological elastomers as a ground to highlight the main achievements and point the specific needs to improve their response and applicability by further tuning materials and configurations.

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A finite-strain constitutive model for magnetorheological elastomers: Magnetic torques and fiber rotations

Cited by 102 publications

References 46 publications

Giant field-induced strains in magnetoactive elastomer composites

Giant field-induced strains in magnetoactive elastomer composites

Analytic and numeric solution of a magneto-mechanical inclusion problem

Magnetorheological Elastomer‐Based Materials and Devices: State of the Art and Future Perspectives

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